Table of Contents, Slides of Quantum Mechanics

Download Table of Contents and more Slides Quantum Mechanics in PDF only on Docsity! 2022-2023 Academic Catalog 1 Table of Contents Physics...................................................................................................................1 Physics The School of Physics and Applied Physics offers graduate programs leading to the Master of Science degree with a major in physics and to the Doctor of Philosophy degree in Applied Physics. This program requires a $65 application fee that must be submitted with the application for Admissions to Graduate Study in Physics. Applicants must pay this fee by credit card. Master of Science (M.S.) in Physics Requirements In order to be considered for admission into the M.S. in Physics program, students must have a baccalaureate degree in Physics or equivalent. The applicant must have earned a grade point average (GPA) of 2.70 or better (A=4.00) on approximately the last 60 credit hours of undergraduate work. Applicants for admission to the M.S. in Physics program are strongly encouraged to submit GRE scores together with other application materials. In addition to the general requirements of the Graduate School for the M.S. in Physics degree, the student must complete PHYS 500A (or mathematics equivalent), PHYS 510, PHYS 520A, PHYS 520B, and PHYS 530A, PHYS 530B. For the M.S. in Physics, a thesis is required, based upon not more than six nor less than three hours of PHYS 599-level credit. The PHYS 599 credit requirement is in addition to the minimum 15-credit hour requirement at the 500 level as stated in this catalog and should be distributed preferably over several terms of enrollment. Each candidate for an M.S. in Physics degree is required to pass an examination, written or oral or both, covering graduate work including the thesis; the examination is administered by the student’s thesis committee. Each candidate for an M.S. in Physics degree is required to earn one credit in PHYS 581 by lecturing in the graduate seminar. An oral thesis defense satisfies this requirement. Non-Thesis/Research Paper Option In order to be considered for admission into the M.S. in Physics Non-Thesis Option program, students must have a baccalaureate degree in Physics, or equivalent. In addition to the general requirements of the Graduate School for the M.S. in Physics Non-Thesis Option degree, the student must complete PHYS 425, PHYS 450, PHYS 500A (or mathematics equivalent), PHYS 510, PHYS 520A, PHYS 520B and PHYS 530A. Those students enrolled in the M.S. in Physics Non-Thesis Option who have taken PHYS 425 and/or PHYS 450 as part of their undergraduate curriculum may replace those courses with any other 500-level course and/or 400-level course (after consulting with their respective advisory committee). An advanced experimental or computational, or theoretical project resulting in a research paper is required, based upon not less than four credit hours of PHYS 598. The research paper has to be completed by the end of the second year in the program. It should be written as a standard scientific text (i.e., with appropriate referencing), and it should be between 15 and 20 pages in length. The research paper should explain in detail the project undertaken by the student enrolled in the M.S. in Physics Non- 2022-2023 Academic Catalog 2 Thesis Option and must contain background and motivation (with proper literature review), and problem statement and goals of the project, results, a discussion related to the work undertaken in accomplishing the goals and objectives, conclusions and plans for future work. The style that should be used is that appropriate for a manuscript submitted to Phys. Rev. Further, it is also noted that the outcome of the project (in the form of the research paper) has to be approved by the student’s advisory committee. Once the research paper is approved, an electronic version of the research paper must be filed in the Graduate School by submission at Open SIU. Other specific requirements for the M.S. in Physics Non-Thesis Option are as follows: Each candidate for an M.S. in Physics Non-Thesis Option degree is required to have a CGPA of 3.0 (in 4.0 scale) throughout the program. Doctor of Philosophy (Ph.D.) in Applied Physics Program Description and Objectives The School of Physics and Applied Physics offers a graduate program at the doctoral level leading to the Ph.D. in Applied Physics. The Applied Physics doctoral program is designed to provide advanced studies both in the application of the concepts and methods of physics to various research areas, including: materials, nanoscience and nanotechnology, quantum computing, quantum error correction, quantum optics and information, computational materials physics, biomedical physics, condensed matter physics, magnetism, thin films, and in the application of the methods and techniques of physics to the study of industrial processes and products. The Ph.D. in Applied Physics provides students with broad, in- depth knowledge of the fundamentals of those areas of physics relevant to applications, as well as with advanced specialized knowledge in applied areas. The ultimate goal of this program is to produce graduates that are competent scientific researchers in Applied Physics, i.e., researchers that are capable of initiating and completing an independent investigation in a specific sub-field of Applied Physics. The graduates of this program will be able to fill the needs of academia, industry and government in the area of Applied Physics. Admissions Applicants will be admitted into the Ph.D. in Applied Physics following one of three routes: 1. Direct admission: this option requires the applicant to have completed a Bachelor’s degree in Physics (or its equivalent) with a grade point average of at least 3.25 (in exceptional cases, the School may solicit the Graduate School to waive this requirement). 2. Accelerated admission: students are admitted into the Master’s degree program and after one semester they can be considered for admission into the doctoral program if they show exceptional research potential and have accumulated a GPA of 3.25. 3. Regular admission: for students who have completed a M.S. in Physics or equivalent and have accumulated a GPA of 3.25 in graduate level courses (in exceptional cases, the School may solicit the Graduate School to waive this requirement). The students obtaining their M.S. in Physics at SIUC will have satisfied most of the core course requirements for the Ph.D. in Applied Physics. All applicants for admission to the doctoral program in Applied Physics must submit Graduate Record Examination (GRE) scores together with other required application materials. Course Requirements In addition to the general requirements of the Graduate School, the student must complete a sequence of Required Basic Core Courses, and Elective Courses that includes: Required Basic Core Courses • PHYS 500A: Mathematical Methods in Physics (3 CH) • PHYS 510: Classical Mechanics (3 CH) • PHYS 520A, PHYS 520B: Electromagnetic Theory (6 CH) 2022-2023 Academic Catalog 5 The Graduate Committee will evaluate all four points of the Qualifying Procedure for each student applicant and will decide on admission to candidacy for each applicant. The Graduate Committee will decide on what weight will be given to the different portions of the Qualifying Procedure. Upon successful completion of the Qualifying Procedure, the School will request the Graduate School to admit the student to candidacy for the doctoral degree, once the applicant has completed the required 24 credit hour residency period. Dissertation Committee and Dissertation Examination No later than six months after admission to candidacy, the student will request the appointment of a dissertation committee to supervise the student’s dissertation. This committee will include five faculty members, with at least one from outside the School of Physics and Applied Physics, at least one doing research in theoretical physics, and at least one doing research in experimental physics. The majority of the committee shall consist of faculty members from the School of Physics and Applied Physics. The committee will be chaired, in most cases, by the student’s dissertation supervisor. The committee will meet within two months after its formation to determine if any specific coursework, beyond the core curriculum, is to be required of the student, and to determine if any special requirements might be appropriate for the student’s particular research area. At this time (i.e., no later than eight months after admission to candidacy), the committee will be given a formal, written dissertation proposal and an oral presentation on the proposed research by the student. Dissertation Defense Upon completion of a dissertation demonstrating the student’s ability to conduct independent research, the dissertation committee will administer a final oral examination. This oral examination shall consist of a defense of the dissertation. Upon the satisfactory completion of both the dissertation and the final examination, the committee will recommend the student for the doctoral degree. Physics Courses PHYS420 - Electricity and Magnetism II Induced electromotive force, quasisteady currents and fields, Maxwell's equations, electromagnetic waves and radiation, with applications. Prerequisite: PHYS 320 with grade of C or better. Credit Hours: 3 PHYS424 - Electronics for Scientists Coordinated two-hour lecture and four-hour laboratory study of electronics. Emphasis is on overall modern electronics and its applications in the experimental research laboratory setting. Topics include DC and AC circuit theory, measurement techniques, semiconductor active devices, operational amplifiers and feedback, digital circuits, Boolean algebra, microprocessors and large scale integration, digital to analog/analog to digital conversion, and data acquisition. Prerequisite: PHYS 203B or 205B and MATH 111 with a grade of C or better. Credit Hours: 4 PHYS425 - Solid State Physics I Structure of a crystalline solid; lattice vibrations and thermal properties; electrons in metals; band theory; electrons and holes in semiconductors; opto-electronic phenomena in solids; dielectric and magnetic properties; superconductivity. Prerequisite: PHYS 310, 320, and 430 with grade of C or better. Credit Hours: 3 PHYS428 - Modern Optics and Lasers Properties of electromagnetic waves in space and media, polarization and interference phenomena and devices, electro- and magneto-optic effects, optical gain, and lasers. Prerequisite: PHYS 420 with grade of C or better. Credit Hours: 3 PHYS430 - Quantum Mechanics I An introduction to quantum phenomena, wells, barriers, Hydrogenic atoms, angular momentum and identical particles. Prerequisite: PHYS 305, 310, and 320 with a grade of C or better. Prior or concurrent enrollment in PHYS 420 is desirable. Credit Hours: 3 PHYS431 - Atomic and Molecular Physics I Atomic spectra and structure; molecular spectra and structure. Prerequisite: PHYS 430 with a grade of C or better. Credit Hours: 3 2022-2023 Academic Catalog 6 PHYS432 - Nuclear Physics I Basic nuclear properties and structure; radioactivity, nuclear excitation, and reactions, nuclear forces; fission and fusion. Prerequisite: PHYS 430 with grade of C or better. Credit Hours: 3 PHYS440 - Applications of Quantum Mechanics Applications of quantum mechanics to include time- independent and time-dependent perturbation theory, variational methods, introduction to solid-state physics and materials. Prerequisite: PHYS 430 with grade of C or better. Credit Hours: 3 PHYS445 - Thermodynamics and Statistical Mechanics Laws of thermodynamics; Principles and Applications of Classical and Quantum Statistical Mechanics; Introduction to Phase Transitions. Prerequisites: PHYS 305 and PHYS 301 both with a grade of C or better; MATH 251 with a grade of C or better. Credit Hours: 3 PHYS450 - Advanced Laboratory Techniques Introduces students to experimental research and encourages them to develop and carry out experiments. Prerequisite: PHYS 305 and PHYS 355 with a grade of C or better. Lab fee: $50. Credit Hours: 3 PHYS458 - Laser and Optical Physics Laboratory Properties of laser beams and resonators, fluorescence and two photon spectroscopy, diffraction, Fourier transformation and frequency filtering, electro- and magneto-optic modulation, fiber propagation and related experiments. Prerequisite: PHYS 428 with grade of C or better. Credit Hours: 2 PHYS470 - Special Projects Each student chooses or is assigned a definite investigative project or topic. Prerequisite: PHYS 310, 320 or consent of instructor. Credit Hours: 1-3 PHYS475 - Special Topics in Physics These courses are advanced special topics in physics designed to enable undergraduate and graduate students to become well-versed in a particular and current research area of physics with the intention of preparing them for future research and/or industrial applications. They are offered as the need arises and interest and time permit. Students are required to give presentations. Special approval needed from the instructor. Credit Hours: 3-6 PHYS476B - Introduction to Biological Physics This course provides an introduction to how physics principles and techniques are applied to study and describe complex and emergent processes found at the biological and biomolecular level. This course combines several topics not usually covered in standard undergraduate science courses to qualify and quantify cell structure, mechanics, dynamics, self- assembly, and biological functionality. Prerequisites: Two semesters of an introductory physics sequence (PHYS 203A,B or PHYS 205A,B) with minimum grades of C, MATH 150 or concurrent enrollment. Credit Hours: 3 PHYS476C - Introduction to Computational Physics This course provides foundational knowledge in the usage of computers for solving natural problems in different types of physical systems. The class will give a thorough understanding of various numerical techniques such as interpolating/extrapolating data, integrating ordinary and partial differential equations, and solving linear algebra problems. Students will be guided to write programs for solving several applied physics problems in classical and modern physics. A brief survey of High Performance Computing will also be presented giving students a working knowledge of scientific computing. Prerequisites: Two semesters of an introductory physics sequence (PHYS 203A,B or PHYS 205A,B), with minimum grades of C and concurrent enrollment in PHYS 305. PHYS 301, PHYS 310 and PHYS 320 are not required but recommended. Credit Hours: 3 PHYS476M - Introduction to Materials Science and NanoPhysics This course will serve as an introductory course in Materials Science and Nanoscale Physics. Topics to be covered include: The need for studying Materials Science, classification of materials, advanced concepts in materials manufacturing, modern materials, nanoscale materials, electrical, thermal, magnetic and optical properties of materials, tailoring materials for application development, Techniques of Materials characterization, Nanomaterials and Nanotechnology, and Societal Impact. Prerequisites: Two semesters of an introductory physics sequence (PHYS 203A,B or PHYS 205A,B), with minimum grades of C, MATH 150 or concurrent enrollment. Credit Hours: 3 PHYS476Q - Quantum Entanglement This course provides an introduction to the theory of quantum entanglement and its use in quantum information science, especially for the task of communication. 2022-2023 Academic Catalog 7 Topics include quantum teleportation, entanglement measures, and nonlocality. Prerequisite: MATH 221 with a grade of C or better. Credit Hours: 3 PHYS500A - Mathematical Methods in Physics Vector spaces and operators in physics. Hilbert spaces and complete orthonormal sets of functions. Elements and applications of the theory of analytic functions. Methods for the solution of partial differential equations of physics. Credit Hours: 3 PHYS500B - Mathematical Methods in Physics Vector spaces and operators in physics. Hilbert spaces and complete orthonormal sets of functions. Elements and applications of the theory of analytic functions. Methods for the solution of partial differential equations of physics. Credit Hours: 3 PHYS510 - Classical Mechanics Generalized coordinates and forces. Lagrangian, Hamiltonian, and variational formulations of mechanics. Noether's Theorem. Central forces, oscillations. Credit Hours: 3 PHYS520A - Electromagnetic Theory Determination of static, electrostatic, and magnetostatic fields. Microscopic and macroscopic theory of insulators and conductors. Maxwell's equations; radiation, propagation and scattering of electromagnetic waves. Electrodynamics and special theory of relativity. Selected topics. Credit Hours: 3 PHYS520B - Electromagnetic Theory Determination of static, electrostatic, and magnetostatic fields. Microscopic and macroscopic theory of insulators and conductors. Maxwell's equations; radiation, propagation and scattering of electromagnetic waves. Electrodynamics and special theory of relativity. Selected topics. Credit Hours: 3 PHYS530A - Quantum Mechanics II Basic principles; the harmonic oscillator and the hydrogen atom; scattering; approximation and perturbation methods; spin, statistics. Credit Hours: 3 PHYS530B - Quantum Mechanics II Basic principles; the harmonic oscillator and the hydrogen atom; scattering; approximation and perturbation methods; spin, statistics. Credit Hours: 3 PHYS531A - Advanced Quantum Mechanics Quantum theory of radiation; applications of field theory to elementary particles; covariant quantum electrodynamics; renormalization; special topics. Content varies somewhat with instructor. Prerequisite: PHYS 530. Special approval needed. Credit Hours: 3 PHYS535A - Atomic and Molecular Physics II Recent experimental methods in atomic and molecular spectroscopy with applications. Detailed quantum mechanical and group theoretical treatment of atomic and molecular systems. Reactions between atomic systems. Special approval needed from the instructor. Credit Hours: 3 PHYS545A - Statistical Mechanics II Principles of classical and quantum equilibrium statistics; fluctuation phenomena; special topics in equilibrium and non-equilibrium phenomena. Credit Hours: 3 PHYS545B - Statistical Mechanics II Principles of classical and quantum equilibrium statistics; fluctuation phenomena; special topics in equilibrium and non-equilibrium phenomena. Credit Hours: 3 PHYS550 - Computational Physics Using modern computers to solve physics problems. Integration of ordinary and partial differential equations, interpolation and extrapolation, finite element analysis, linear and nonlinear equations, eigensystems, optimization, root finding, Monte Carlo simulations, etc. Credit Hours: 3 PHYS560A - Nuclear Physics II Fundamental properties and systematics of nuclei, scattering theory, nuclear two-body problem, nuclear models, nuclear many-body problem, electromagnetic properties of nuclei, radioactivity, nuclear reactions. Prerequisite: PHYS 530. Special approval needed from the instructor. Credit Hours: 3 PHYS565A - Solid State Physics II Fundamental concepts in solid state physics. Lattice vibrations, band theory of solids, the Fermi surface, dynamics of electrons. Transport, cohesive, optical, magnetic and other properties of solids. Special approval needed from the instructor. Credit Hours: 3