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Department of Physics and Engineering Physics

Professors:ĚýJohn T. Birmingham, Guy Ramon, Christopher P. Weber (Department Chair), Betty A. Young (Lee and Seymour Graff Professor II)

Associate Professors:ĚýPhilip R. Kesten, Bachana Lomsadze

Assistant Professors: Christopher Ciccarino, Shan Wu

Teaching Professor: Kristin Kulas

Assistant Teaching Professors:ĚýJohn Jameson, Nathan Williams

Senior Instructors and Instructional Facilities Managers:ĚýOmid Ahmadi-Gorgi, Roxana Flacau

The Department of Physics and Engineering Physics offers major programs of lecture and laboratory instruction leading to the bachelor of science in physics and the bachelor of science in engineering physics (EP). The department also provides an academic minor in physics and required and elective courses for students majoring in other fields.

The undergraduate major programs in physics and EP are both appropriate preparation for graduate study in physics, areas of engineering, astrophysics and astronomy, biophysics, environmental science, geological science and geophysics, medical physics, medicine, patent law, oceanography, and other fields. The EP major emphasizes, to a greater extent than the traditional engineering major, the fundamental physics and modern scientific developments applicable to current and evolving new technologies. It does this by combining a large portion of the physics major curriculum with significant engineering and related course clusters carefully tailored to the career goals of the student.

Common career goals of physics majors include professional employment in industry, in a government lab, in an R&D space, or at a university. Approximately half of our majors pursue graduate study, while others choose to become entrepreneurs, work in the business, technology, engineering, or finance sectors, teach, go into public service or pursue other exciting opportunities. Popular second majors, or minors for physics and EP majors, include mathematics, computer science, chemistry, areas of engineering, music and more.Ěý

Research in the department is currently funded by the Department of Energy,ĚýNational Science Foundation, NASA and private industry. Majors in physics and engineering physics often participate in faculty research projects through PHYS 198 (Undergraduate Physics Research) or external grants, internships or fellowships, including Geoff and Josie Fox Summer Research Fellowships. Students also have opportunities for part-time employment assisting faculty in laboratory and related teaching activities.

A student whose GPA is below a 2.5 must obtain approval from the department chair to declare a Physics or Engineering Physics major.

Requirements for the Major

The department offers majors in physics and Ěýin engineering physics. In addition to fulfilling undergraduate Core Curriculum requirements for the bachelor of science degree in physics, students majoring in physics or engineering physics must complete the following departmental requirements (including any course-associated laboratory components):

Major in Physics

  • CHEM 11 or CHEM 14
  • MATH 11, 12, 13, 14
  • MATH 23 or AMTH 106
  • PHYS 31, 32 (preferred) or PHYS 11, 12
  • PHYS 33, 34, 70, 103, 111, 112, 120, 121, 122, 151, 192
  • One elective chosen from CSCI 10, CSEN 10, CSEN 11, MECH 45, CHEM 12 (CHEM 12 and CHEM 14 cannot both be taken for credit)
  • Three upper-division electives AND one supplemental laboratory chosen from: PHYS 104, 113, 113L, 116, 123, 123L, 141, 161, 162,

Major in Engineering Physics

  • CHEM 11 or CHEM 14
  • MATH 11, 12, 13, 14
  • AMTH 106 or MATH 23
  • One course chosen from CSCI 10, CSEN 10, CSEN 11, or MECH 45
  • PHYS 31, 32, 33, 34, 70, 103, 111, 112, 120 (or MECH 121 with permission from an EP program advisor), 121, 192
  • One upper-division physics elective chosen from PHYS 104, 113, 116, 122, 123, 141, 151, 161, 162
  • PHYS 120 (preferred) or MECH 121
  • At least four courses chosen from CHEM 12, CHEM 14 (CHEM 12 and CHEM 14 cannot both be taken for credit), MECH 10, MECH 11, MECH 15, MECH 122, MECH 143 or ECEN 123 or CSEN 123, CENG 41, CENG 43, CSEN 11 or CSCI 60, ECEN 21 or CSEN 21, ECEN 100, ECEN 110, ECEN 115, ECEN 118, ECEN 144. Similar relevant courses might be considered as substitutions, but an EP program advisor must authorize the substitution in advance.
  • An approved cluster of five additional technical courses focused in a specific area chosen by the student and subject to advisor consent. A few of the popular course cluster areas include: computational, electronics, materials science, solid state, and mechanical. See the engineering physics program coordinator for additional information or go to the Physics and Engineering Physics Department website.

Requirements for the Minor

Students must fulfill the following requirements for a minor in physics:

  • PHYS 31, 32, 33, 34, 192
  • Four additional and approved physics courses numbered 70–162

Lower-Division Courses

1. Hands-On Physics!

How do scientists know what they “know?” The course is taught in a “Workshop Physics” style emphasizing hands-on experimentation and timely topics in today’s world. Instrumentation and “learning by doing” are emphasized. Includes student-designed, peer-reviewed group projects. (4 units)

2. Introduction to Astronomy: The Solar System

An introduction to astronomy with a particular focus on the origin and evolution of the solar system, planets, and their satellites. Topics include a brief history of the science of astronomy, telescopes and observational methods, gravitation, spectra and the sun, asteroids, comets, astrobiology, searches for new planetary bodies, and Earth science. Students should be familiar with arithmetic and basic algebra. Evening observational lab meets five times during the quarter. (4 units)

3. Introduction to Astronomy: The Universe

An introduction to astronomy with a particular focus on the origin and evolution of the universe, galaxies, and stars. Topics include a brief history of the science of astronomy, understanding the night sky and phases of the moon, telescopes and observational methods, gravitation, spectra and the sun, the big bang, and the expansion and ultimate fate of the universe. Special emphasis is given to stellar evolution, from the birth of stars to their ultimate demise, and stellar remnants such as neutron stars and black holes. Students should be familiar with arithmetic and basic algebra. Evening observational lab meets five times during the quarter. (4 units)

4. The Physics of Dance

An exploration of the connection between the art of dance and the science of motion with both lecture/discussion sessions and movement laboratories. Topics include mass, force, equilibrium, acceleration, energy, momentum, torque, rotation, and angular momentum. Movement laboratory combines personal experience of movement with scientific measurements and analysis, in other words: “dance it” and “measure it.” This is a lab science course, not a dance technique course. Also listed as DANC 4. (4 units)

5. Physics and Technology for Future Leaders

Examples of how science and technology impact daily life are ubiquitous. Each day brings new comforts and challenges to communities around the world. Leaders in government, industry, finance, and elsewhere are expected to make important and impactful decisions every day on issues related to power consumption, new materials technology, transportation, terrorism, global resources, radiation, climate change, energy sources, conservation, and more. To make the best decisions, leaders must be literate in modern science and technology. This course aims to help students understand the need-to-know physics behind many of the debates impacting our world today. Most importantly, the course aims to give students, the future leaders of our world, the basic tools needed to independently and critically analyze technologically relevant material presented in the media everyday. Assumes basic algebra only. Ěý(4 units)Ěý

7. Physics of Music

The course explores the physical foundations underlying the production, propagation, and perception of music. No prior knowledge of either physics or music is expected, and math will be restricted to basic algebra and trigonometry. At the end of this course, students should possess a basic understanding of the nature of sound; the basic workings of string, wind, and brass instruments, as well as the human voice and ear; knowledge of basic musical notation; and a familiarity with some acoustical problems and their solutions. Through laboratory investigations, students will become familiar with methods of scientific exploration and gain an appreciation of the experimental method. Also listed as MUSC 19 (4 units)

11. General Physics I

One-dimensional motion. Vectors. Two-dimensional motion. Newtonian laws of motion. Law of gravitation. Planetary motion. Work. Kinetic and potential energy. Linear momentum and impulse. Torque and rotational motion. Rotational energy and momentum. Equilibrium. Elastic deformation of solids. Density and pressure of fluids. Bernoulli’s principle. Buoyant forces. Surface tension. Includes weekly laboratory. Prerequisite: MATH 11, orĚý35,Ěýor permission of the instructor. The PHYS 31/32/33 sequence and the PHYS 11/12/13 sequence cannot both be taken for credit. (5 units)

12. General Physics II

Temperature. Thermal expansion of solids and liquids. Thermal energy. Heat transfer. Specific heat. Mechanical equivalent of heat. Work and heat. Laws of thermodynamics. Kinetic theory of gases. Ideal gas law. Entropy. Vibration and wave motion. Hooke’s Law. Sound. Electric charges, fields, and potential. Gauss’s Law. Ohm’s Law. Potential difference. Electric potential. Capacitors. Electric current. Resistance and resistivity. Electric energy and power. Kirchhoff’s Rules. RC circuits. Magnetic fields and forces. Ampere’s Law. Induced EMF. Faraday’s Law. Lenz’s Law. Self-inductance. Includes weekly laboratory. Prerequisite: PHYS 11. The PHYS 31/32/33 sequence and the PHYS 11/12/13 sequence cannot both be taken for credit. (5 units)

13. General Physics III

RLC series circuit. Power in an AC circuit. Resonance. Transformers. Optics: reflection, refraction, mirrors, and lenses. Total internal reflection. Diffraction. Young’s double slit interference. Polarization. Optical Instruments. Relativity. Wave-particle duality. Photoelectric effect. X-rays. Pair production and annihilation. Bohr Atom. Spectra. Uncertainty principle. Quantum numbers. Radioactivity. Nuclear particles and reactions. Subnuclear particles. Includes weekly laboratory. Prerequisite: PHYS 12. The PHYS 31/32/33 sequence and the PHYS 11/12/13 sequence cannot both be taken for credit. (5 units)

31. Physics for Scientists and Engineers I

Measurement. Vectors. Straight-line kinematics. Kinematics in two dimensions. Laws of inertia, mass conservation, and momentum conservation. Center-of-mass and reference frames. Force. Newtonian mechanics and its applications. Work and kinetic energy. Potential energy and energy conservation. Rotational dynamics. Statics. Gravitation. Kepler’s Laws. Includes weekly laboratory. ĚýThe PHYS 31/32/33 sequence and the PHYS 11/12/13 sequence cannot both be taken for credit. Prerequisite: MATH 11. (5 units)

31H. Physics 31H Honors Supplement

Weekly seminar for 15–20 students that extends the treatment of PHYS 31 topics to more challenging/thought-provoking problems. The seminar is being offered so that PHYS 31 can count for Honors credit. Students who are not in the Honors Program but who have a strong math background and some physics experience, and who want the added fun of working on intriguing problems and solution techniques, may also enroll. (1 unit).

32. Physics for Scientists and Engineers II

Fluids. Thermodynamics. Oscillations. Waves. Sound. Interference, diffraction, and polarization. Quantization of light and matter waves. Blackbody radiationĚýand theĚýphotoelectric effect. Bragg diffraction and X-ray spectra. Wave-particle duality. Includes weekly laboratory. ĚýThe PHYS 31/32/33 sequence and the PHYS 11/12/13 sequence cannot both be taken for credit. Prerequisites: PHYS 31 and MATH 12 or by permission of instructor. Recommended prerequisite: CHEM 11 or 14.Ěý(5 units)

32H. Physics 32H Honors Supplement

Weekly seminar for 15–20 students that extends the treatment of PHYS 32 topics to more challenging/thought-provoking problems. The seminar is being offered so that PHYS 32 can count for Honors credit. Students who are not in the SCU Honors Program but have a strong interest in physics or math, and who want the added fun of working on intriguing problems and solutions techniques, may also enroll. (1 unit)

33. Physics for Scientists and Engineers III

Electrostatics. Gauss’s Law. Potential. Capacitance. Electric current. Resistance. Ohm’s law. RC circuits. ĚýMagnetic force. Ampere’s Law. Electromagnetic induction. Maxwell’s equations. Atoms. Balmer-Rydberg series. Bohr model. Hydrogen-like ions. X-ray spectra. Includes weekly laboratory. ĚýThe PHYS 31/32/33 sequence and the PHYS 11/12/13 sequence cannot both be taken for credit.ĚýPrerequisites: PHYS 32 and MATH 13 or by permission of instructor.Ěý(5 units)

34. Physics for Scientists and Engineers IV

Special relativity. Schrödinger equation. Pauli exclusion principle. Periodic table. Fermions and Bosons. Spontaneous emission and selection rules. Lasers. Spin phenomena. Introduction to solids and semiconductor physics. Nuclear structure and decay. Fission and fusion. Introduction to particle physics. Includes weekly laboratory. Prerequisite: PHYS 33. (5 units)

70. Electronic Circuits for Scientists

DC analysis. Kirchoff’s laws, series and parallel combinations, network theorems (Thevenin and Norton), RC, LR and LRC circuits. AC analysis, phasors, filters. Diode circuits. Physics of devices. p-n junction. Junction diodes, field-effect devices, bipolar junction transistors. Elementary amplifiers. Small-signal device models. Operational amplifier circuits. Linear amplifier bias circuits. Logic gates, digital integrated circuits, Boolean algebra, registers, counters, memory. Includes weekly laboratory. Prerequisite: PHYS 33. (5 units)

Upper-Division Courses

103. Numerical Methods in Physics

Basic elements of programming in MATLAB. Ordinary and partial differential equations. Fourier transforms and spectral analysis. Linear regression and curve fitting. Numerical integration. Stochastic methods. Selected applications include planetary motion, diffusion, Laplace and Poisson equations, and waves. Weekly computer lab. Prior exposure to basic linear algebra will be helpful but is not required. Prerequisite: MATH 23 or AMTH 106. Strongly recommended prerequisite: CSCI 10Ěýor CSEN 10Ěýor MECH 45. (5 units)

104. Analytical Mechanics

Calculus of variations. Hamilton’s principle. Lagrangian and Hamiltonian approaches to classical dynamics. Central force motion. Noninertial reference frames. Dynamics of rigid bodies. Selected topics in classical dynamics such as coupled oscillators, special relativity, and chaos theory. Prerequisites: PHYS 31 and MATH 23 or AMTH 106. (5 units)

111. Electromagnetic Theory I

Review of vector calculus. Dirac delta function. Electrostatic fields. Work and energy. Laplace and Poisson equations. Separation of variables. Fourier’s trick. Legendre equation. Multipole expansion. Computational problems. Prerequisites: PHYS 33 and MATH 23 or AMTH 106. Co-requisite: PHYS 103. (5 units)

112. Electromagnetic Theory II

Magnetostatics. Induced electromotive forces. Maxwell’s equations. Energy and momentum in electrodynamics. Electromagnetic stress tensor. Electromagnetic waves. Potential formulation. Computational problems. Dipole radiation. Prerequisite: PHYS 111 or ECEN 104. (5 units)

113. Advanced Electromagnetism and Optics

Geometric optics. Polarization and optically active media. Interferometry. Optical signal and noise in detection and communication. Interaction of light with metals, dielectrics, and atoms. Thermal radiation. Laser operation. Most students will take 113 and 113L simultaneously. Prerequisite: PHYS 112 or consent of instructor. Also listed without lab as ECEN 725. (4Ěýunits)

113L. Advanced Electromagnetism and Optics Lab

Weekly lab to accompany PHYS 113. Most students will take PHYS 113 and PHYS 113L simultaneously. Corequisite: PHYS 113 OR consent of instructor. (1 unit)

116. Physics of Solids

Crystal structure. Phonons. Free electron theory of metals. Band theory of solids. Semiconductors. Electrical and thermal transport properties of materials. Magnetism. Superconductivity. Topics from current research literature. PHYS 116 is taught as a capstone course. Prerequisites: PHYS 120, 121, and senior standing. (5 units)

120. Thermal Physics

Laws of thermodynamics with applications to ideal and non-ideal systems. Kinetic theory of gases. Entropy. Classical and quantum statistical mechanics. Bose and Fermi systems. Selected topics from magnetism, materials, Ěýand low-temperature physics. Prerequisites: PHYS 34 and PHYS 103 or AMTH 118. Recommended prerequisite: PHYS 121. (5 units)

121. Quantum Mechanics I

The Schrödinger equation. The wave-function and its interpretation. One dimensional potentials. Harmonic oscillator. Methods in linear algebra including matrix operations, unitary transformations and rotations, eigenvalue problems and diagonalization. Hilbert space, observables, operators, and Dirac notation. The hydrogen atom. Angular momentum. Prerequisites: PHYS 34 and PHYS 103 or AMTH 118. Recommended prerequisite:ĚýMATH 53. (5 units)

122. Quantum Mechanics II

Angular momentum and spin. Electrons in EM field. Addition of angular momenta. Identical particles. Time-independent perturbation theory. Fine and hyperfine structure. Time-dependent perturbation theory and its application to light-matter interaction. Fermi’s golden rule. Variational principle. WKB approximation. Prerequisite: PHYS 121. (5 units)

123. Quantum Mechanics III

Scattering theory. Single-particle relativistic quantum theories, Klein-Gordon and Dirac equations. Quantum paradoxes. Introduction to quantum electrodynamics and/or quantum computation: qubits, quantum gates and circuits, quantum teleportation, quantum algorithms, error correction codes. Quantum computer implementations. ĚýMost students will take PHYS 123 and PHYS 123L simultaneously. ĚýPrerequisite: PHYSĚý122. (4Ěýunits)

123L. Quantum Mechanics III Lab

Weekly lab to accompany PHYS 123. Most students will take PHYS 123 and PHYS 123L simultaneously. Prerequisite: PHYS 121 and consent of instructor. (1 unit)

141. Modern Topics in Physics

A course focused on a topic in current physics research selected by junior and senior Physics majors in consultation with department faculty. Recent topics have included quantum information and quantum computation, quantum paradoxes, superconductivity and magnetism, general relativity, and high-energy physics. May be repeated for credit. (4–5 units)

151. Advanced Laboratory

Students conduct intensive laboratory-based experiments in the areas of atomic, nuclear, quantum and condensed matter physics, RF detection, signal processing and more. Emphasis on in-depth understanding of underlying physics, experimental techniques, data analysis, and dissemination of results. Additional design and implementation of independent table-top project also required. Introduction to LabVIEW programming and LaTeX. Written and oral presentations. Prerequisite: Senior standing in physics or consent of instructor. (5 units)

161. Introduction to Astrophysics

A survey of astronomy for science majors focused on the physics and mathematics that astronomers use to interpret observations of planets, stars, and galaxies. Topics include the kinematics of objects in the solar system, the nature of stars and their evolution, and the evolution and formation of galaxies. Prerequisite: PHYS 33. PHYS 34 recommended but not required. (5 units)

162. Cosmology

A survey of cosmology for science majors. Much of the course will focus on the properties of an idealized, perfectly smooth, model universe. Topics include the formation of galaxies and clusters in an evolving universe, the Benchmark Model of the universe, dark matter and dark energy, the cosmic microwave background and its fluctuation spectrum, recent results from such experiments as WMAP and Planck, Big Bang nucleosynthesis, and problems with the standard Big Bang models and inflation theory. Prerequisite: PHYS 33. PHYS 34 recommended but not required.. Knowledge of calculus through differential equations is assumed. (5 units)

190. Senior Seminar

Advanced topics in selected areas of physics. Enrollment by permission of instructor. (2 units)

192. Physics and Society

Colloquium course that focuses on Physics research topics with significant societal impact. Weekly speakers come from academia, the private sector, industry, non-profits, and government laboratories. Students participate in weekly discussions and write short reflection papers. Prerequisite: PHYS 34. (1 unit)

198. Undergraduate Physics Research

Departmental work under close professorial direction on research in progress. Permission of the professor directing the research must be secured before registering for this course. (1–5 units)

199. Directed Reading in Physics

Detailed investigation of some area or topic in physics not covered in the regular courses; supervised by a faculty member. Permission of the professor directing the study must be secured before registering for this course. (1–5 units)