Physics Catalog

Undergraduate Program

Physics is the most fundamental of the sciences and is an important part of a liberal arts education. Introductory courses are designed for students in all majors and provide a fundamental background in physical principles, the observation of natural processes, the logic and nature of science, and the diverse applications of physics. The introductory courses are

  1. Scientific Perspective Courses. Physics 20, Astronomy 001, and Astronomy 002 have no prerequisites and satisfy the scientific perspective requirement of the Program of Liberal Studies. Physics 111, 121, 130, 131 and 127, which also satisfy the scientific perspective requirement, are primarily for science majors.

  2. Introductory Sequences. Prospective science majors are urged to begin their study of physics during their first or second years. The department offers two sequences of introductory courses. Physics 110/111 is a two-semester, non-calculus-based survey of physics appropriate for the majority of science majors, including environmental science and policy majors and premedical/predental students. Physics 120/121/130 is a three-semester sequence recommended for physics, chemistry, and mathematics majors, and covers mechanics, electricity and magnetism, waves, and quantum physics in more depth than the 110/111. Because Physics 121 discusses the subject matter more deeply, it is less comprehensive than Physics 111, and should be followed by Physics 130.

  3. Laboratory Courses. Physics 111, 121, 130, 131, 127, and 219 offer laboratory experience. Physics 111 fulfills the physics laboratory requirement for premedical/predental students.

Major requirements

A major in physics can be structured to meet the interests of individual students, including graduate study in physics, related sciences, engineering, careers in environmental studies, management, government, law, medicine, and teaching. During their first year, prospective physics majors are urged to enroll in Physics 120 and 121 and to consult the undergraduate physics advisor about their program of study. Physics major requirements are fourteen common core courses and four additional approved courses in physics or related areas. The requirements are flexible and, through consultation with the undergraduate physics advisor, may be modified to satisfy the particular needs and interests of each student. Examples of individual programs are:

General Physics for students who wish to major in physics as part of liberal arts education, including preparation for careers in teaching or business.

Preprofessional Physics courses in physics, chemistry, and mathematics to prepare students for graduate study in physics or research in industry.

Biological Physics includes chemistry and biology courses that can be used to prepare for medical or dental schools or for careers in the biomedical professions.

Materials Science advanced courses in physics and chemistry designed to prepare students for graduate study in the interdisciplinary area of materials science.

Computational Physics advanced courses in physics, computer science, and mathematics designed to prepare students for graduate study in the rapidly growing area of computational science. Technology Assessment interdisciplinary courses to enable students to make physical, economic, and value assessments of technological systems.

Students interested in using physics as the basis for an engineering career should inquire about the 3/2 Engineering Program offering students a five-year option that combines a B.A. from Clark and a B.S. in engineering from Columbia University, Washington University (St. Louis), or Worcester Polytechnic Institute.

Courses in the core curriculum include:

Units
(1) Introductory Physics:
Physics 120 and Physics 121 (or 110/111) 2
(2) Intermediate level Physics:
Physics 130 and 131 2
(3) Calculus: Mathematics 124, 125, 130, and 131 4
(4) Laboratory based courses:
Physics 127 or 219 1
(5) Upper level courses:
Physics 150, 160, 161, and 171 4
(6) Senior project:
Physics 299 or equivalent 1
Total In Core Curriculum 14
Additional approved electives 4
Total in Major Program 18

Students with strong backgrounds in physics and mathematics may replace required courses with appropriate advanced courses with advisor approval. Advanced placement credits may count toward major requirements. Advanced undergraduates may take graduate level courses. Majors must meet with the undergraduate physics advisor prior to registration every semester to plan their course of study and to ensure that all requirements for the major are being satisfied. It is possible to complete all requirements for the major within three years, so that it is not essential to begin the study of physics in the first year.

Information about career opportunities and further information about courses and major requirements can be obtained from the undergraduate physics advisor and other physics faculty members.

The Capstone Experience

An independent research project is the appropriate capstone experience for most physics majors. Students are encouraged to "do physics" at the earliest opportunity. Majors must take a capstone course satisfied by one semester of Physics 299, Special Projects in Physics, or an approved course of comparable scope. Near the end of the junior year (or earlier) a physics major should choose a topic for his or her senior project with department faculty. Work is conducted under the guidance of a faculty member, often with the assistance of graduate students. The faculty seeks to design projects that lead to publication in refereed physics journals. Majors with a special interest in research may continue their research by enrolling in additional semesters of Physics 299.

Honors Program

Students can apply for departmental honors in recognition of meritorious academic achievement and creativity in research. An honors candidate must maintain an overall B- average. All eligible majors are encouraged to participate. Written applications should be submitted to the undergraduate advisor by the end of the junior year. Candidates will conduct a research project under faculty member guidance during the junior and/or senior years. A thesis describing the work must be submitted no later than April 1 of the senior year and be defended orally in a special departmental convocation about two weeks later. Recommendation for honors in physics is made on the basis of the quality of the thesis and student performance in the defense. Students may gain credit for thesis research by registering for Physics 299.

Minor requirements

The requirements for a minor in physics include six courses consisting of Physics 120/121 (or 110/111), Physics 130, Physics 131, and two additional electives approved by the undergraduate physics advisor. Students receiving credit for a scientific perspective course in physics prior to enrolling in Physics 120 may use it to replace one elective course. Requirements are flexible and the undergraduate advisor can replace any of the required core courses for students who are prepared for more advanced training.

Five-year B.A./M.A.

The department offers a M.A. degree in physics to undergraduate physics majors who complete a minimum of four core graduate courses (Physics 301, 302, 305, 306, 309, and 310) and who submit an acceptable thesis based on original research. It also is possible to combine the undergraduate physics major with five year M.A. programs in education and in environmental science and policy. Details are available from the department office.

Graduate Program

The department offers the master of arts and doctor of philosophy degrees in physics. Research is concentrated in experimental and theoretical studies of condensed matter, including magnetic and optical properties of solids, magnetic critical phenomena, superconductivity, granular matter, quantum chaos, the dynamics of first-order phase transitions, and computer simulations. Other research areas include theoretical plasma physics, interdisciplinary studies of risk assessment and energy technology, and nuclear physics.

The academic requirements are flexible, with emphasis on early student participation in research and informal student evaluation. A distinctive part of each student's course work is Physics 303, a research apprenticeship which introduces students to different research groups beginning in the first year of graduate studies.

M.A. degree students must satisfy the general University residence and course requirements, pass with a grade of B- or better four of the core graduate courses (Physics 301, 302, 305, 306, 309, and 310) and one semester of Physics 303, and pass two oral examinations in the subject matter of the core graduate courses. In contrast to M.A. physics programs at many other universities, M.A. candidates also must complete a thesis based on original research.

Ph.D. degree students must fulfill residence and course requirements, pass the core graduate courses (Physics 301, 302, 305, 306, 309, and 310) with a grade of B or higher, and complete three semesters of Physics 303. The department does not rely on a formal written qualifying examination to evaluate student readiness for the Ph.D. Instead, students must pass four oral examinations that stress qualitative as well as quantitative aspects of the subject matter of the core graduate courses. Students are required to pass an additional graduate course (approved by the graduate student advisor) in a subject that is outside of the area of their dissertation concentration. The course may be in physics, the other sciences, mathematics, computer science, or in another appropriate field. Ph.D. candidates also complete a dissertation based on original research. Students entering with advanced standing and transferable credit are encouraged to demonstrate proficiency in the core graduate courses through oral examinations.

Graduate students in both the M.A. and Ph.D. programs are required to gain supervised teaching experience either as teaching assistants or teaching fellows in the department, or elsewhere if approved by the department. More information about the requirements for the Ph.D. and M.A. degrees in physics is available from the Graduate Student Handbook. Copies are available upon request from the graduate student advisor.

Further information on the research interests of the faculty and research opportunities for graduate students can be found at the department's Web site, http://physics.clarku.edu.

Application forms for admission and financial aid may be requested from the chair of the department. During the academic year, financial support is available in the form of tuition remissions, teaching assistantships and research assistantships. The department considers the financial support of its graduate students an important responsibility.

Astronomy Courses

Recommended for both nonscience and science majors as general education and to satisfy the scientific perspective requirement of the Program in Liberal Studies. Astronomy is not a formal program or major, and students interested in a career in astronomy should major in physics.

001 Exploring The Universe/Lecture/Observatory
Concepts and methods of science for non-science majors. Devoted to the planets, sun, stars, their life cycles, and the galaxies. Involves physics, chemistry, biology, and geology. Explores theories of the composition and origin of the solar system, the universe, and life. Students observe celestial objects including the moon, sun, planets, meteors, stars, nebulae, and galaxies using telescopes in the University observatory. Minimal use of mathematics. Satisfies the scientific perspective requirement in the Program of Liberal Studies. Mr. Davies/Offered every fall

002 The Planets And Space Exploration/Lecture/Observatory
Can be taken as a first course in astronomy or as a second course after Astronomy 001. Emphasizes the solar system and past and future projects for its exploration. Topics include the sun, comets and asteroids, planetary and satellite surfaces, and planetary interiors and atmospheres. The principles of rocket flight and the motion of objects in the solar system are treated qualitatively and with simple algebra. Satisfies the scientific perspective requirement in the Program of Liberal Studies. Mr. Davies/Offered every spring

Physics Courses

10 Einstein And His Ideas/First-Year Seminar/Discussion, Laboratory
Introduces space-time concepts associated with relativity, gravitation, and Einstein's contribution to the development of quantum theory. Einstein's views on social, political, philosophical issues, and his influence on contemporary culture are discussed. Competence or background in mathematics and physics is not assumed. Satisfies the scientific perspective requirement in the Program of Liberal Studies. Formerly Physics 100. Mr. Gould/Offered periodically

20 Discovering Physics/Lecture, Laboratory
Emphasizes hands-on experience and the learning of science in a way similar to how science should be taught to children and how scientists gain new knowledge. Designed for students interested in education, but is open to all undergraduates; no special expertise in mathematics and science is assumed. Topics include wave and particle phenomena with an emphasis on the properties of light. Several laboratories and group discussions per week. Satisfies the scientific perspective requirement in the Program of Liberal Studies. Formerly Physics 102. Mr. Blatt/Offered every year

110Introductory Physics Part I/Lecture, Discussion, Laboratory
Introductory level, problem-oriented survey course for science majors and other students. course Stresses the simplicity and self-consistency of physical models in explaining a variety of physical phenomena. Topics include Newtonian mechanics, wave motion, and an introduction to the thermal properties of matter. Calculus is not required, but elements of calculus are introduced during the course. Physics 110, with Physics 111, fulfills the usual entrance requirements for medical and dental schools. Three lectures per week. One laboratory per fortnight. Satisfies either the formal analysis requirement or the scientific perspective requirement in the Program of Liberal Studies. Mr. Landee, Mr. Blatt/Offered every fall

111 Introductory Physics Part II/Lecture, Discussion, Laboratory
A continuation of Physics 110. Topics include electricity, magnetism, optics, relativity, atomic physics, and nuclear physics. Students who do not intend to take a second year of physics should enroll in this course instead of Physics 121. Three lectures and one laboratory per week. The laboratory is designed to fulfill the usual entrance requirements for medical and dental schools. This course satisfies the scientific perspective requirement for the Program of Liberal Studies. Mr. Blatt, Mr. Landee/Offered every semester

120 Introductory Physics Part I/Lecture, Discussion, Laboratory
Problem-oriented course intended for science majors that is more in-depth than Physics 110. Topics include Newtonian mechanics and wave motion. Course should be taken with Math 124 so the elements of calculus and its applications to physics can be treated at the same time. Three lectures and one discussion section per week. One laboratory per fortnight. Corequisite: Mathematics 120 or 124. Satisfies the formal analysis requirement in the Program of Liberal Studies. Formerly Physics 110.2. Mr. Agosta, Mr. Kudrolli/Offered every fall

121 Introductory Physics Part II/Lecture, Discussion, Laboratory
Continuation of Physics 120 which offers a more in-depth introduction to physics than Physics 111. The topics of electricity, magnetism, light and optics are discussed. Recommended second semester course for physics, mathematics, and other science majors who intend to continue with Physics 130. Three lectures and a laboratory every other week. Credit is not given for both Physics 111 and 121. Satisfies the scientific perspective requirement of the Program of Liberal Studies. Corequisite: Mathematics 121 or 125. Formerly Physics 112. Mr. Agosta, Mr. Kudrolli/Offered every spring

127 Computer Simulation Laboratory/Discussion, Laboratory
Introduces methods of computer simulation and its diverse applications. Course is project-oriented, with students proceeding at their own pace depending on their background and interests. Projects include planetary motion, chaotic systems, fractal phenomena, random systems, and thermal systems. Methods include the numerical solution of differential equations and Monte Carlo techniques. Course emphasizes structured programming, and is recommended for prospective science majors as an introduction to programming rather than Computer Science 101. Two laboratory sections and two discussion periods per week. Satisfies the scientific perspective requirement of the Program of Liberal Studies. Prerequisites: Physics 120, Mathematics 120, or instructor permission. No background in computer programming is required. Formerly Physics 125. Mr. Gould/Offered every spring

130 Oscillations, Waves, and Optics/Seminar, Laboratory
The third of a four semester introductory survey of physics. The seminar meets for three hours per week plus an afternoon laboratory. Oscillations and harmonic motion and wave phenomena such as interference, diffraction, standing waves and ray and wave optics are among the topics discussed. Key experiments include studies of mechanical, acoustic, and optical standing waves, resonance in oscillating systems, optical instrumentation, and the measurement of the speed of light. The course prepares students for the study of quantum waves in Physics 131 and satisfies the scientific perspective requirement of the Program of Liberal Studies. Prerequisites: Physics 111 or 121; corequisite: Mathematics 130. Formerly Physics 113. Mr. Landee/Offered every fall

131 Quantum Physics/Seminar, Laboratory
The last in a four semester survey of physics intended to follow Physics 130. After an introduction to relativity theory, the course emphasizes the experimental basis of atomic and nuclear structure leading to the development of wave mechanics. The laboratory uses modern research instrumentation to address contributions by Einstein, Rutherford, Compton, Moseley, Chadwick, and others. A special section deals with the technological application of nuclear fission and fusion. Satisfies the scientific perspective requirement of the Program of Liberal Studies. Prerequisite: Physics 130; corequisite Mathematics 131. Formerly Physics 114. Mr. Blatt/Offered every spring

140 Energy and the Environment/Lecture, Discussion
The production and utilization of energy plays a central role in modern civilization, and constitutes an increasing drain on our natural resources. Undesired byproducts of large-scale energy usage are becoming more apparent, including local heating of streams and global warming, pollution of the atmosphere and ocean, and real and perceived dangers related to the use of advanced technology. The course will explore these environmental concerns in the context of the possibilities and limitations set by physical laws, and consider the extent to which science must be involved in their resolution. The course is cross listed with ES & P 140. Formerly Physics 130. Mr. Blatt/Offered periodically

150 Statistical and Thermal Physics/Lecture, Discussion
Introduces the concepts of thermodynamics, statistical mechanics, and kinetic theory with the goal of understanding the behavior of macroscopic systems on the basis of microscopic theory. Topics include probability, entropy and the second law of thermodynamics, the Boltzmann probability distribution, heat and work, and the first and second law efficiencies of simple engines. Prerequisite: Physics 130; corequisite: Mathematics 131. Formerly Physics 123. Mr. Gould/Offered every fall

160 Classical Mechanics/Lecture, Discussion
Physics 160 and 161 constitute an introduction to the concepts of classical physics at the intermediate level. Topics include particle and rigid body dynamics in inertial and noninertial reference frames. The necessary mathematical methods are introduced and applied. Prerequisites: Mathematics 131 and Physics 111 or 121. Formerly Physics 161. Mr. Davies, Mr. Gould/Offered every fall

161 Electricity and Magnetism/Lecture, Discussion
Continuation of Physics 160. Topics include electro- and magnetostatics and electrodynamics through Maxwell's equations and relativity. Develops useful mathematical methods. Prerequisite: Physics 160. Formerly Physics 162. Mr. Gould, Mr. Kudrolli/Offered every spring

171 Atomic and Nuclear Physics/Lecture, Discussion
Intermediate level course providing an introduction to quantum mechanics and its applications to atoms, nuclei, molecules, and solids. Prerequisites: Physics 131 and Mathematics 131. Formerly Physics 174. Mr. Agosta, Mr. Landee/Offered every year

201 Classical Dynamics/Lecture, Discussion
Designed to prepare students for graduate work in physics. Topics include Hamilton's principle, classical scattering theory, rigid body motion, canonical transformations, Hamilton-Jacobi theory, and mathematical methods of physics. Lectures are the same as Physics 301, but the assignments and evaluation are separate. Prerequisite: Physics 160 and 161. Mr. Davies/Offered every year

202 Electrodynamics/Lecture, Discussion
Designed to prepare students for graduate work in physics. Topics include boundary value problems in electrostatics and magnetostatics, electromagnetic field equations and special relativity, electromagnetic waves, radiation theory, multipole fields, and mathematical methods of physics. Lectures are the same as Physics 302, but the assignments and evaluation are separate. Prerequisite: Physics 161. Mr. Davies/Offered every year

205 Quantum Mechanics Part I/Lecture
Physics 205 and 206 constitute a comprehensive introduction to the concepts of quantum mechanics and their application in physics and chemistry. Sequence is to prepare students for graduate work. Lectures are the same as in Physics 305, but the assignments and evaluation are separate. Prerequisites: Physics 171 and Mathematics 131. Mr. Davies/Offered every year

206 Quantum Mechanics Part II/Lecture
Physics 206 is a continuation of Physics 205. Prerequisite: Physics 205. Mr. Davies/Offered every year

209 Statistical Mechanics/Lecture, Discussion
Designed to prepare students for graduate work in physics. The lectures are the same as in Physics 309, but the assignments and evaluation are separate. Prerequisites: Physics 150 and 171. Mr. Gould, Mr. Phillies/Offered every year

219 Electronics Laboratory/Lecture, Laboratory
Examines principles of modern electrical measurement and control. Introduces DC and AC circuit theory and use of test instruments such as multimeters and the oscilloscope. Emphasizes electronic circuit design, operational amplifiers, and digital circuits. Two lectures and one laboratory each week. Suitable for intermediate level undergraduates and graduate students in the sciences. Mr. Agosta/Offered every fall

227 Advanced Computer Simulation Laboratory
Similar to Physics 127 but more advanced. Suitable for graduate students in the sciences or undergraduates who have completed Physics 125. Prerequisite: Physics 127 or instructor permission. Mr. Gould/Offered every spring

>290 Senior Seminar/Seminar
This capstone covers a selection of topics of current interest in physics. Offered for variable credit. Staff/Offered periodically

299.1 Directed Readings in Physics
Directed readings in physics in areas not covered in regular courses. Offered by arrangement and for variable credit. Staff/Offered every semester

299.2 Special Projects in Physics
Independent research project in experimental, theoretical, or applied physics, with the guidance of a faculty advisor. Normally taken in the senior year to fulfill the senior project requirement. Students may enroll in Physics 299 more than once. Offered for variable credit. Faculty advisor permission required. Staff/Offered every semester

299.8 Honors Course
Primarily for majors seeking departmental honors in physics. Offered for variable credit. Prerequisites: Physics 299.1 and advisor permission. Staff/Offered every semester

301 Classical Dynamics
Graduate level course in classical mechanics. Topics are similar to Physics 201, but are treated in greater depth. Mr. Davies/Offered every fall

302 Classical Electrodynamics
Graduate level course in classical electromagnetism. Topics are similar to Physics 202, but are treated in greater depth. Mr. Davies/Offered every spring

303 Research Apprenticeship
Research apprentices participate actively in an experimental or theoretical research group. Ph.D. students enroll in the course for three semesters with a minimum of one semester in a theoretical group and one semester in an experimental group. M.A. students take a minimum of one semester. Staff/Offered every semester

305 Quantum Mechanics Part I/Lecture, Discussion
Physics 305 and 306 are a comprehensive introduction to quantum mechanics and its application in physics and chemistry. Topics include the foundations of quantum mechanics, symmetries and angular momentum, particle in a central potential, electron spin, and perturbation theory. Mr. Davies/Offered every fall

306 Quantum Mechanics Part II/Lecture, Discussion
Physics 306 is a continuation of Physics 305. Topics include scattering theory, interaction of radiation with matter, second quantization, applications to simple atoms and molecules, and an introduction to many-body theory. Mr. Davies/Offered every spring

309 Statistical Mechanics/Lecture, Discussion
Examines statistical mechanics with applications to physical and chemical systems. Topics include ensemble theory, the statistical basis of thermodynamics, quantum statistics, the virial expansion of a classical gas, ideal Bose and Fermi systems, the renormalization group, and fluctuations. Mr. Gould, Mr. Phillies/Offered every fall

310 Solid State Physics/Lecture, Discussion
Examines experimental properties and quantum theory of solids. Topics include crystal and reciprocal lattice structures, the free electron theory of metals, electronic band structure and the Fermi surface, lattice vibrations, and the elementary excitations of solids. Prerequisite: Physics 305 or permission of instructor. Mr. Landee/Offered every spring

317 Solid State Spectroscopy/Seminar
Theoretical and experimental review of the physics of solids observed using spectroscopic methods. Staff/Offered periodically

319 Advanced Statistical Mechanics/Lecture, Discussion
Treats the statistical mechanics of interacting systems, including the theory of critical phenomena and kinetic theory. Other advanced topics of current research interest are discussed. Prerequisite: Physics 309. Mr. Gould/Offered periodically

320 Advanced Seminar in Physics
Provides for special coverage of topics in physics of current research interest. Offered for variable credit. Staff/Offered periodically

325 Research Seminar
Student participation seminar on current research problems. Offered for variable credit. Staff/Offered periodically

390 Colloquium
Weekly invited lecturers speak on current research topics. Required for all graduate students and recommended for undergraduates involved in research. Not offered for credit. Staff/Offered every semester

398 Research
Thesis and dissertation preparation. Offered for variable credit. Staff Updated 10 January 2003.