Particle motion in one dimension. Simple harmonic oscillators. Motion in two and three dimensions, kinematics, work and energy, conservative forces, central forces, and scattering. Systems of particles, linear and angular momentum theorems, collisions, linear spring systems, and normal modes. Lagrange’s equations and applications to simple systems. Introduction to moment of inertia tensor and to Hamilton’s equations.
An introduction to the science underlying the description of atmospheric processes and air pollution control, including: composition of atmosphere; sources, transport, and fate of pollutants; chemical and photochemical reactions; properties of aerosols and effects of air pollution on climate and water; and adsorption, absorption, filtration, and chemical destruction pollutants in air pollution control systems.
This course is an introduction to Schrödinger wave mechanics for students in physics and engineering, with an emphasis on engineering applications. This is a required course for all physics undergraduates, as well as students in the Microelectronics and Photonics M.S./M.E. degree program and other professional M.S./M.E. degree programs. Topics discussed include one-dimensional infinite and finite quantum wells, barrier penetration and scattering in one dimension, linear harmonic oscillator, Kronig-Penney model, angular momentum, central force problems, including the hydrogen atom, and spin. Typical texts: Introductory Quantum Mechanics by R. L. Liboff and Quantum Mechanics Fundamentals and Applications to Technology by J. Singh.
Ordinary differential equations of first and second order, homogeneous and non-homogeneous equations; improper integrals, Laplace transforms; review of infinite series, series solutions of ordinary differential equations near an ordinary point; boundary-value problems; orthogonal functions; Fourier series; separation of variables for partial differential equations. Close
Simple harmonic motion, oscillations and pendulums; Fourier analysis; wave properties; wave-particle dualism; the Schrödinger equation and its interpretation; wave functions; the Heisenberg uncertainty principle; quantum mechanical tunneling and application; quantum mechanics of a particle in a "box," the hydrogen atom; electronic spin; properties of many electron atoms; atomic spectra; principles of lasers and applications; electrons in solids; conductors and semiconductors; the n-p junction and the transistor; properties of atomic nuclei; radioactivity; fusion and fission. Spring Semester. Close
This course treats scattering, absorption and emission of electromagnetic radiation in planetary media. The radiative transfer equation is derived, approximate solutions are found. Important heuristic models (Lorentz atom, two-level atom, vibrating rotator) as well as fundamental concepts are discussed including reflectance, absorptance, emittance, radiative warming/cooling rates, actinic radiation, photolysis and biological dose rates. A unified treatment of radiative transfer within the atmosphere and ocean is provided, and extensive use of two-stream and approximate methods is emphasized. Applications to the climate problem focus on the role of greenhouse gases, aerosols and clouds in explaining the temperature structure of the atmosphere and the equilibrium temperature of the earth. The course is suitable for beginning graduate and upper-level undergraduate students.
Ordinary differential equations of first and second order, homogeneous and non-homogeneous equations; improper integrals, Laplace transforms; review of infinite series, series solutions of ordinary differential equations near an ordinary point; boundary-value problems; orthogonal functions; Fourier series; separation of variables for partial differential equations. Close
Simple harmonic motion, oscillations and pendulums; Fourier analysis; wave properties; wave-particle dualism; the Schrödinger equation and its interpretation; wave functions; the Heisenberg uncertainty principle; quantum mechanical tunneling and application; quantum mechanics of a particle in a "box," the hydrogen atom; electronic spin; properties of many electron atoms; atomic spectra; principles of lasers and applications; electrons in solids; conductors and semiconductors; the n-p junction and the transistor; properties of atomic nuclei; radioactivity; fusion and fission. Spring Semester. Close
This course is meant as the first in a two-course sequence on non-relativistic quantum mechanics for physics graduate students, with an emphasis on applications to atomic, molecular, and solid state physics. Undergraduate students may take this course as a Technical Elective. Topics covered include: review of Schrödinger wave mechanics; operator algebra, theory of representation, and matrix mechanics; symmetries in quantum mechanics; spin and formal theory of angular momentum, including addition of angular momentum; and approximation methods for stationary problems, including time independent perturbation theory, WKB approximation, and variational methods. Typical text: Quantum Mechanics by E. Merzbacher.
Particle motion in one dimension. Simple harmonic oscillators. Motion in two and three dimensions, kinematics, work and energy, conservative forces, central forces, and scattering. Systems of particles, linear and angular momentum theorems, collisions, linear spring systems, and normal modes. Lagrange’s equations and applications to simple systems. Introduction to moment of inertia tensor and to Hamilton’s equations. Close
This course is an introduction to Schrödinger wave mechanics for students in physics and engineering, with an emphasis on engineering applications. This is a required course for all physics undergraduates, as well as students in the Microelectronics and Photonics M.S./M.E. degree program and other professional M.S./M.E. degree programs. Topics discussed include one-dimensional infinite and finite quantum wells, barrier penetration and scattering in one dimension, linear harmonic oscillator, Kronig-Penney model, angular momentum, central force problems, including the hydrogen atom, and spin. Typical texts: Introductory Quantum Mechanics by R. L. Liboff and Quantum Mechanics Fundamentals and Applications to Technology by J. Singh. Close
An introduction to the principles and control of air pollution, including: types and measurement of air pollution; air pollution chemistry; atmospheric dispersion modeling; compressible fluid flow; particle dynamics; ventilation systems; inertial devices; electrostatic precipitators; scrubbers; filters; absorption and adsorption; combustion; and condensation.
