Physics (PHYS)

PHYS 501
Methods of Theoretical Physics I

Vector analysis including curvilinear coordinates. Tensor algebra. Ordinary differential equations. Method of infinite series. Regular singularities, Frobenius method. First look at special functions. Gamma-, beta-, error functions. Airy function. Fourier series. Hilbert space, its basic properties. Sturm-Liouville theory. Orthogonal polynomials. Legendre, associated Legendre, Hermite, Laguerre etc. polynomials. Bessel functions, their properties, basic applications. Partial differential equations, their classification. Boundary conditions. Physical models with PDE. Separation of variables method, Cartesian system of coordinates. Separation of variables in cylindrical and spherical system of coordinates. Spherical functions. Fourier transform method.

Lecture: 3 Lab: 0 Credits: 3
PHYS 502
Methods of Theoretical Physics II

Group theory. Discrete groups, elementary examples and properties. Lie groups, Lie algebras, generators. Their fundamental properties. Group representations. O(3), SU(2), SU(3), Lorentz groups and their applications. Complex variables: algebra, Cauchy-Riemann conditions, harmonic functions. Complex variables integrals: Cauchy theorem, Cauchy formula. Laurent series. Residues calculus: isolated singular points, poles, calculation of integrals using residues, other applications. Branches, singularities on the path of integration. Conformal mapping and its applications. Green functions. Their connection to complex variables calculus. Advanced, retarded, causal GF, application in physics. Integral equations.

Lecture: 3 Lab: 0 Credits: 3
PHYS 505
Electromagnetic Theory

Special relativity, its kinematics and dynamics. Lorentz transformations. 4D tensors and their algebra. Covariant formulation of electrodynamics. Electromagnetic field strength tensor, Maxwell equations. Gauge transformations and gauge invariance. Electrostatics, boundary value problems. Multipole expansion. Magnetostatics. Electric charge motion in an external electromagnetic field. Macroscopic electrodynamics. Electromagnetic waves..Dipole, quadruple and magnetodipole radiation. Light scattering, radiation damping. Optics. Electromagnetic field of a relativistic charge. Synchrotron radiation. Vavilov-Cherenkov radiation.

Lecture: 3 Lab: 0 Credits: 3
PHYS 508
Analytical Dynamics

Hamilton?s Principle, Lagrange?s formalism, function, and equations. Invariance properties and conservation laws. One dimensional motion. Central force problem. Small harmonic oscillations. Nonlinear oscillations. Scattering theory. Rigid body motion. Non-inertial reference frames. Hamilton's formalism, function, and equations. Canonical transformations. Hamilton-Jacobi theory. Integrable systems and canonical perturbation theory.

Lecture: 3 Lab: 0 Credits: 3
PHYS 509
Quantum Theory I

Survey of solutions to the Schrodinger Equation in one, two, and three dimensions. Hydrogen, helium, and other atoms. Spin 1/2 particles. Entangled states. EPR Paradox. Bell's Theorem. Formalism of quantum mechanics. Magnetic fields in quantum mechanics. Aharonov-Bohm Effect. Berry's Phase. Time Independent Perturbation Theory. Spin-orbit coupling. Variational method. WKB Method. Many electron wavefunction. Pauli Principle. More detailed look at excited states of helium atom. Time Dependent Perturbation Theory. Fermi's Golden Rule. Lifetime of excited atomic states.

Lecture: 3 Lab: 0 Credits: 3
PHYS 510
Quantum Theory II

Second quantization. Multiparticle systems. Applications of second quantization. Rotations and angular momentum. Angular momenta algebra. Group theory applications in quantum mechanics. Spin and spinors. Scattering theory. Particle in a magnetic field. Landau levels. Path integral formulation of classical and quantum mechanics. Relativistic quantum mechanics. Klein-Gordon equation. Multiparticle interpretation. Dirac equation. ?-matrices and their algebra. Bispinors. Gauge invariance in QM. Spontaneous symmetry breaking.

Prerequisite(s): (PHYS 405 and PHYS 406) or PHYS 509 with min. grade of C
Lecture: 3 Lab: 0 Credits: 3
PHYS 515
Statistical Mechanics

Ensembles and distribution functions. Classical gases and magnetic systems. Ideal Quantum Gases. Interacting systems. Real Space Renormalization group and critical phenomena. Quantum Statistical Mechanics: Superfluidity and superconductivity. Fluctuations and dissipation.

Lecture: 3 Lab: 0 Credits: 3
PHYS 518
General Relativity

Lorentz transformations, Minkowski space, 4D vectors and tensors, kinematics and dynamics of special relativity. Riemann geometry, Christoffel symbols, covariant derivatives, geodesics, curvature tensor, Einstein equations. Classical experiments of general relativity, Schwarzschild solution, physics of black holes. Cosmology, Big Bang theory, gravitational waves. Instructor permission required.

Lecture: 3 Lab: 0 Credits: 3
PHYS 520

In this multidisciplinary course, we will examine the basic science behind nanotechnology and how it has infused itself into areas of nanofabrication, biomaterials, and molecular medicine. This course will cover materials considered basic building blocks of nanodevices such as organic molecules, carbon nanotubes, and quantum dots. Top-down and bottom-up assembly processes such as thin film patterrning through advanced lithography methods, self-assembly of molecular structures, and biological systems will be discussed. Students will also learn how bionanotechnology applies to modern medicine, including diagnostics and imaging and nanoscale, as well as targeted, nanotherapy and finally nanosurgery.

Lecture: 3 Lab: 0 Credits: 3
PHYS 537
Solid State Physics I

Crystal structure and crystal binding. Free electron model of metals and semiconductors. Energy band theory. Elastic Properties. Lattice Waves, Dielectric properties.

Prerequisite(s): PHYS 510 and PHYS 509
Lecture: 3 Lab: 0 Credits: 3
PHYS 538
Solid State Physics II

Higher order susceptibility, spin-orbit coupling, optical absorption, superconductivity. Properties of metals, semiconductors, and insulators. Device physics. Magnetic properties of materials.

Prerequisite(s): PHYS 510 and PHYS 509
Lecture: 3 Lab: 0 Credits: 3
PHYS 539
Physical Methods of Characterization

A survey of physical methods of characterization including x-ray diffraction and fluorescence surface techniques including SEM, TEM, AES and ESCA, thermal methods and synchrotron radiation methods. Same as CHEM 509.

Lecture: 3 Lab: 0 Credits: 3
PHYS 545
Particle Physics I

The course is an introduction to and overview of the field of elementary particle physics. No previous exposure is assumed. The first third of the course is devoted to the symmetries of the strong interaction. The second third is a modern introduction to the gauge theories of the electromagnetic, strong, and weak interactions, and their leading evaluation via Feynman diagrams. The final third introduces topics of current and speculative research.

Prerequisite(s): PHYS 510 and PHYS 509
Lecture: 3 Lab: 0 Credits: 3
PHYS 546
Particle Physics II

The course is a continuation of PHYS 545, but it is self-contained. The goal is to provide a functional understanding of particle physics phenomenology of QED, QCD, and electroweak physics. Topics include QED: Spin-dependent cross sections, crossing symmetries, C/P/CP; QCD: Gluons, parton model, jets; Electroweak interactions: W, Z, and Higgs. Weak decays and production of weak bosons; Loop calculations: Running couplings, renormalization.

Prerequisite(s): PHYS 510 and PHYS 509
Lecture: 3 Lab: 0 Credits: 3
PHYS 550
Instrumentation for Health Physics

Detecting and measuring radioactive material and radiation levels depends upon many types of detectors and instrumentation. Theory of detectors ranging from chambers operating in pulse and current producing modes to solid state detectors is applied to measuring and monitoring systems. Electronics ranging from simple rate meters and scalers to high speed multi-channel analyzers are used. Computer-linked instrumentation and computer-based applications are applied to practical problems.

Lecture: 1 Lab: 4 Credits: 3
PHYS 553
Quantum Field Theory

Quantum field theory is a language to understand large numbers of degrees of freedom in most areas of physics such as high energy, statistical, and condensed matter physics. Topics covered include: canonical quantization of fields; path integral quantizations of scalar, Dirac, and gauge theories; symmetries and conservation laws; perturbation theory and generating functionals; regularization and renormalization.

Prerequisite(s): PHYS 510
Lecture: 3 Lab: 0 Credits: 3
PHYS 561
Radiation Biophysics

Energy loss by ionizing radiation. Target theory. Direct and indirect action. Radiation effects in biomolecules. Radiation inactivation of enzymes, nucleic acids, and viruses. Biological effects of ultraviolet radiation. Photosensitization. Radiation protection and sensitization. Radiation effects in vivo, radiation therapy, and phototherapy.

Prerequisite(s): PHYS 410
Lecture: 3 Lab: 0 Credits: 3
PHYS 563
Project Management: Business Principles

The course will cover a wide range of business principles highlighting project management and the components of business that employees may encounter. The goal of the course is to help the student understand basic business principles and project management skills, help the student understand the application of organizational behavior in today's workplace and equip the student to function more effectively both independently and as a team in today's organizations.

Lecture: 2 Lab: 0 Credits: 2
PHYS 566
Environmental Health Physics

Impact of ionizing radiation and radionuclides on the environment. Identifying environmental effects of specific natural and artificial nuclides. Models for deposition and transport of nuclides, including air and water disbursement. Environmental dosimetry and remediation. Facility decommissioning and decontamination.

Prerequisite(s): PHYS 572
Lecture: 2 Lab: 0 Credits: 2
PHYS 570
Introduction to Synchrotron Radiation

Production and characterization of synchrotron radiation, dynamical and kinematical diffraction, absorption and scattering processes, x-ray optics for synchrotron radiation and x-ray detectors. Overview of experimental techniques including XAFS, XPS, SAXS, WAXS, diffraction, inelastic x-ray scattering, fluorescence spectroscopy, microprobe, tomography and optical spectroscopy.

Lecture: 3 Lab: 0 Credits: 3
PHYS 571
Radiation Physics

Fundamentals of Radiation Physics will be presented with an emphasis on problem-solving. Topics covered are review of atomic and nuclear physics; radioactivity and radioactive decay law; and interaction of radiation with matter, including interactions of heavy and light charged particles with matter, interactions of photons with matter, and interactions of neutrons with matter.

Lecture: 3 Lab: 0 Credits: 3
PHYS 572
Introduction to Health Physics

Health Physics profession; Units in radiation protection; Radiation sources; Interaction od ionizing radiation with matter; Detectors for radiation protection; Biological effects of ionizing radiation; Introduction to microdosimetry; Medical health physics; Fuel cycle health physics; Power reactor health physics; University health physics; Accelerator health physics; Environmental health physics; Radiation accidents.

Prerequisite(s): PHYS 571
Lecture: 3 Lab: 0 Credits: 3
PHYS 573
Standards, Statutes and Regulations

This course studies the requirements of agencies that regulate radiation hazards, their basis in law and the underlying US and international standards. An array of overlapping requirements will be examined. The effect regulatory agencies have upon the future of organizations and the consequences of noncompliance are explored.

Lecture: 3 Lab: 0 Credits: 3
PHYS 574
Introduction to the Nuclear Fuel Cycle

This course introduces the concept and components of nuclear fuel cycle that originated from the mining of uranium through the production and utilization of nuclear fuel to the nuclear/radioactive waste generation and disposal. The mechanisms of normal operations through the fuel cycle process will be discussed as well as the accidental situations with expanded coverage on nuclear reactor issues. Emphasis will be placed on the radiological health and safety aspects of the operations. The study will also include key regulatory compliance issues.

Lecture: 2 Lab: 0 Credits: 2
PHYS 575
Case Studies in Health Physics

This is a non-instructional course designed to promote the understanding of radiation safety through lessons learned from the past incidents. The focus will be on the means for improving the future operations of the acilities/devices. The course is recommended to be among the last courses taken by students who have gained at least one year of academic exposure in health physics and with some level of capability in to address the underlying technical aspects.

Prerequisite(s): PHYS 571 and PHYS 573 and PHYS 572
Lecture: 3 Lab: 0 Credits: 3
PHYS 576
Radiation Dosimetry

This course is to study the science and technique of determining radiation dose and is fundamental to evaluating radiation hazards and risks to humans. This course covers both external dosimetry for radiation sources that are outside the human body and internal dosimetry for intake of radioactive materials into the human body. Topics will include: dosimetry recommendations of ICRP for occupational exposure; US NRC and DOE requirements for particular work environments; and MIRD methodology for medical use of radionuclides.

Prerequisite(s): PHYS 571* and PHYS 572*, An asterisk (*) designates a course which may be taken concurrently.
Lecture: 3 Lab: 0 Credits: 3
PHYS 577
Operational Health Physics

Covers the basic principles for establishing and maintaining an effective institutional radiation safety program including the following: facility design criteria; organizational management issues; training; internal and external radiation control; radioactive waste disposal; environmental monitoring; radiation safety instrumentation; ALARA program; and emergency response planning. The course will also cover facility licensing/registration with state and federal agencies and legal issues such as institutional and individual liability, fines, violations, and worker rights and responsibilities.

Lecture: 2 Lab: 0 Credits: 2
PHYS 578
Medical Health Physics

Medical Health Physics (MHP) profession; sources of radiation in the medical environment; radioisotopes in nuclear medicine; diagnostic use of X-rays (radiography, mammography, CT, fluoroscopy); therapeutic use of X-ray and gamma radiation (Co-60 and LINAC based radiation therapy); radiotherapy using sealed radioisotopes (brachytherapy); radiation protection in diagnostic and interventional radiology; radiation protection in nuclear medicine; radiation protection in external beam radiotherapy; radiation protection in brachytherapy; radiation accidents in medicine.

Lecture: 2 Lab: 0 Credits: 2
PHYS 580
Introduction to Radiochemistry

This course is designed to introduce the fundamental principle of radiation science for students majoring in radiochemistry.

Lecture: 3 Lab: 0 Credits: 3
PHYS 581
Radiochemistry Laboratory

This laboratory-related course will offer opportunities for students to have hands-on experience in samples preparation, source preparation, and counting measurements.

Lecture: 1 Lab: 2 Credits: 3
PHYS 582
Applications of Radiochemistry

This course will provide discussion and overview of practical applications of radiochemistry. Various special topics in the following five general series of practical radiochemistry will be offered. Each series covers different topics related to that particular discipline.

Lecture: 3 Lab: 0 Credits: 3
PHYS 585
Physics Colloquium

Lectures by invited scientists in areas of physics generally not covered in the department. May be taken twice by M. S. students to fulfill course credit requirements.

Lecture: 0 Lab: 1 Credits: 1
PHYS 591
Research and Thesis M.S.

(Credit: variable)Prerequisite: Instructor permission required.

Credit: Variable
PHYS 594
Research Project

Special research and development projects in X-ray optics, instrumentation, X-ray techniques for industrial applications, mechanical and opto-mechanical design and instrumentation, and thermal management techniques and systems.

Credit: Variable
PHYS 597
Reading and Special Problems

Independent study to meet the special needs of graduate students in department-approved graduate degree programs. Requires the written consent of the instructor. May be taken more than once. Receives a letter grade. (Credit: variable) Prerequisite: Instructor permission required.

Credit: Variable
PHYS 600
Continuation of Residence

Lecture: 0 Lab: 1 Credits: 1
PHYS 685
Physics Colloquium

Lectures by invited scientists in areas of physics generally not covered in the department. Must be taken twice by M. S. students and four times by Ph. D. students. May be substituted by PHYS 585 for M. S. students.

Lecture: 0 Lab: 1 Credits: 0
PHYS 691
Research and Thesis Ph.D.

(Credit: Variable)

Credit: Variable