Physical quantities; rectilinear motion; motion in two and three dimensions; Newton's laws of motion; work and energy; momentum; conservation laws; collisions; rotational dynamics; gravitation; periodic motion; fluid motion.
Electric charge and electric field; Gauss's law; electric potential; dielectrics; electric circuits; magnetic field and magnetic forces; sources of magnetic field; electromagnetic induction; electromagnetic waves.
Equilibrium and stability analysis of the human body, dynamics of body motion, elasticity and strength of body organs, fluid mechanics and the blood circulation system, energy requirements and temperature regulation of the body, electrical characteristics of the nervous system, sound and hearing, optics and vision, electromagnetic waves and atomic structure, physics of medical imaging techniques such as x-ray computerized tomography and magnetic resonance imaging.
Equilibrium and stability analysis of the human body, dynamics of body motion, elasticity and strength of body organs, fluid mechanics and the blood circulation system, principle of centrifugation, diffusion and Brownian motion, energy requirements and temperature regulation of the body sound and hearing, the Doppler effect, ultrasound imaging.
Electromagnetism, electromagnetic waves, optics and vision, electrical characteristics of the nervous system, quantum theory of light, atoms, and molecules, intermolecular forces, interaction of light with matter, absorption, fluorescence, stimulated emission, physics of medical imaging techniques such as x-ray computerized tomography, magnetic resonance imaging, and positron emission tomography.
Review of vectors and matrices, orthogonal transformations; numerical simulations and animations of mechanical systems, kinematics and dynamics of particles; Newton's laws of motion; conservation laws; oscillations; central forces; orbits and scattering in a central force field; planetary motion; non-inertial reference frames; potential theory; the two-body problem.
Quantum mechanics, solution of the particle-in-a-box, harmonic oscillator and hydrogen atom; orbital concepts, the structure of many-electron atoms, molecular orbital theory, molecular symmetry and group theory; rotational, vibrational and electronic spectroscopy.
Periodic motion, fluid mechanics, mechanical waves, sound and hearing, temperature and heat, thermal properties of matter, the first law of thermodynamics, the second law of thermodynamics. Lab component.
The nature and propagation of light, geometric optics and optical instruments, interference, diffraction, relativity, photons electrons and atoms, the wave nature of particles, quantum mechanics, atomic structure, molecules and condensed matter, nuclear physics, particle physics and cosmology. Lab component.
Probability theory; entropy, temperature, partition function, grand partition function, black-body radiation, Fermi and Bose statistics; laws of thermodynamics; phase transition; kinetic theory and transport phenomena.
Review of vector calculus; electrostatics, Gauss' law, Poisson's equation, dielectric materials, electrostatic energy, boundary-value problems; magnetostatics, law of Biot and Savart, Ampere's law, magnetic forces and materials, magnetic energy; electromagnetic induction; Faraday's law; Maxwell's equations, Poynting's theorem.
Review of the active and passive circuit components: design and construction of various electrical and electronic devices such as power supplies, audio amplifiers, radio receivers, temperature controllers, and motion detectors. Practical aspects of electronic circuit design. Familiarity with basic electronics at the level of Physics 102 is required.
Nonlinear oscillations; numerical methods and visualizations for chaotic systems; linear stability analysis; calculus of variations; Lagrangian and Hamiltonian dynamics; canonical transformations and Hamilton-Jacobi theory; Poisson brackets; dynamics of systems of particles; dynamics of rigid bodies; coupled oscillations; dynamics of continuous systems; the special theory of relativity.
Review of Maxwell's equations; conservation laws; electromagnetic waves; propagation of electromagnetic waves in conductors and dielectrics; transmission lines; waveguides; potentials and fields; radiation theory; electrodynamics and special theory of relativity.
Introduction to semiconductors: crystals, energy bands, charge carriers and doping, the Fermi level, carrier lifetime and mobility, optical properties. Electronic devices: p-n junctions, diodes, transistors; Optoelectronic devices: LEDs, diode lasers, detectors.
Detailed examination of current topics in Physics.
Detailed examination of current topics in Physics.
Investigation of one or more topics of interest with the guidance of an instructor. Presentation of a research proposal at the end of the term.
Investigation of one or more topics of interest with the guidance of an instructor. Presentation of a research proposal at the end of the term.
Wave function; solutions of the Schödinger's equation; infinite square well; harmonic oscillator; potential barrier; formalism of quantum mechanics; statistical interpretation; hydrogen atom problem; angular momentum; spin; identical particle systems; many-electron atoms; solids; quantum statistics.
Time-independent perturbation theory; fine structure of the hydrogen spectrum; variational approximation; helium atom; WKB quantization; time-dependent perturbation theory; two-level systems; emission and absorbtion; adiabatic approximation; geometric phase.
Elementary crystal structure; the reciprocal lattice; lattice dynamics and phonons; thermal properties of materials; electron gas; Fermi-Dirac statistics and the Fermi surface; band theory, semiconductor physics and properties, semiconductor devices.
Selected experiments in physics. Single component and integrated solid state electronic device characteristics and applications in electronic circuits. Use of coherent and incoherent electromagnetic waves in modern physics experiments and contemporary technology applications with transmission, absorption, diffraction, and spectroscopic measurements. Laboratory technique, data recording and analysis, communication of results through written and oral reports.
Introduction of statistical mechanical concepts; statistical thermodynamics; structure dependent properties of condensed matter; dielectric and magnetic properties; chemical equilibrium conditions; transport phenomena; normal mode analysis; structure and energy minimizations; classical and quantum numerical molecular simulation methods; superconductivity; superfluidity.