Source Drives
Overview of class topics - Adam Green
Classical Mechanics Lecture Notes - Professor Tsai - Fasi Malik
Thermodynamics & Statistical Mechanics I - Professor Vivek Aji - Fasi Malik
HW1: Engine Cycles, Entropy, Work
Kayla
HW3: Elastic Ribbon Problem, More on Gases, Microcanconical Ensembles, Adiabatic Processes
Kayla
HW4: Finding the Partition Function of Gases by Integrating over Phase Space
Kayla
HW5: Grand Canonical Partition Function, Cumulent Expansion
Kayla
HW6: Finding Quantum Energy Level Partition Functions, Quantum Gases
Kayla
HW7: Fermi and Bose Statistics and Obtaining Thermodynamic Quantities from Them
Kayla
HW 1: Ch1 Sakurai (these are done terribly, just look at my redone sakurai problems here, also located on the Notes & Solutions page
HW 2: Ch 1 Sakurai - continued (see above comment)
HW 3: Self-Adjoint Operators, Projectors, Density Matrices, Entanglement, Gaussian Wave Packets
HW 4: Sakurai Ch2 problems, these are done well/okay
HW1: Probability current, 1D particle scattering, Green's function and "ie-prescription", Fermi's golden rule, cross section, differential cross section
HW2: Born Approximation of Gaussian Potential, Validity of Born Approximation for Yukawa Potential, estimating highest angular momentum of a scattering process, partial wave analysis of an attractive square well, optical theorem, resonances using a 1D potential
HW3: two particles interaction potential, identical particles, Pauli spin matrix identities and particles in a B field, Hamiltonian describing a spin-1/2 electron, Dirac Hamiltonian, Dirac particle in a uniform B field, qubits and mixed states, Schmidt number, Schmidt decompositions of a two qubit system
HW4: Quantization of the Dirac field, anticommutation and Fourier coefficients, teleporting a state, function mapping n bits to 1 bit, Toffoli gate circuit, Shor's quantum code
Final Term Paper: Physical realization of a quantum computer using trapped ion qubits
Electromagnetism 1 Lecture Notes - Professor Pryadko - Fasi Malik
Electromagnetism 3 Lecture Notes - Professor Vivek Aji - Fasi Malik
HW1: Symmetric Static Charge Configurations
HW2: Vector Identities & Submarine Problem
HW3: Electrostatic Pressure, Image Charges, Capacitance matrix, Quadruple Moment, Dipole Moment
HW4: Conducting Sphere in a uniform E field, Snell's Dielectric Sphere in External field, Metallic Sphere in water, Capacitance - rising liquid, Method of Images for Dielectrics, charge distributions on dielectrics
HW5: Electrostatic uniqueness, symmetric potentials, Cartesian separation of variables for potential
HW6: Electric dipole and Quadruple moments, method of images for: a conducting sphere, cylinders, uniform array of strings of line density, incompressible liquid,
HW7: Potential of Electrostatic dipoles, Legendre polynomials, dielectric sphere in a quadruple electric field, potential of a uniformly charged ring, uniformly charged line segment, point charge located a distance from a dielectric sphere
HW8: Potential inside a cylindrical cavity, mechanical energy of a dielectric sphere, Phi-dependent potential on a sphere, dielectric sphere with phi-dependent charge density, potential given on each hemisphere
HW9: Bessel equation, forms of Bessel equation solutions, properties of Bessel functions semi-infinite cylinder with endcap fixed, finite cylinder with grounded curved side and endcap but other endcap specified
Quizzes & Exams
Quiz 1 - Alec
HW1: Imaginary Arg Bessel, charge distribution varying along z of a cylinder, Green's functions, calculating the resistance of a spherical and cylindrical capacitor, weakly conducting dielectrics, steady state current density in cylindrical conductor with periodically varying resistivity along z
HW2: Magnetostatic problems: field from a square loop, circular loop, force on a square loop next to a current carrying wire, equations of motion of an electron in a uniform B and E fields, rotating sphere with a charge, magnetic field of an elliptical loop, field of a solenoid, field of a toroidal solenoid
HW3: rotating charged ring, liquid cylindrical conductor finding the pressure of the interaction of the current with its own magnetic field, image current density, invariance of magnetization vector, permanent cylindrical magnet, field of a toroidal solenoid with a gap
HW4: Electric field of long wire, poynting vector for power calculation, magnetic dipole in the center if a uniform electric charge distribution, solenoid with moveable core, rotating LCR circuit, displacement field D, copper sphere in a alternating magnetic field
HW5: energy of a conducting sphere in an alternating magnetic field, non-conducting cylinder in a rotating external field, natural frequencies of oscillation of two inductively coupled LCR circuits, maglev train induction currents, fixed magnetization of a sphere force between hemispheres, energy loss to eddy currents in a magnet, skin effect
HW6: gauge transformations, capacitor filled with frequency dependent dielectric, frequency dependent dielectric locality and approximations, sum rules for e(\omega), Kramers-Kronig relations, wave packet, wave packet dispersion
HW7: monochromatic linearly polarized wavepackets energy density, conducting sphere in a uniform oscillating magnet field, skin depth calculations, light ray on 60-60-60 glass prism, partially polarized light and degree of polarization, circularly polarized light, characterizing polarization, polarization as a function of incidence
HW8: angle of incidence, reflection coefficient of a metal surface with surface impedance, radius of curvature of a ray propagating in a transparent medium, Laplace's theorem, construction of caustic surfaces for a 2D wave front, focal distances for thin lens, dispersion and waves in electronic plasma
HW1: Electric and magnetic fields of a good conductor, intrinsic impedance for good conductor, dielectric, and vacuum, surface impedance, plane waves, linearly polarized wave
HW2: waves supported by two parallel straight wires, transmission line made up of two planar conducting strips, waveguide with triangular geometry, phase and group velocities of rectangular and circular waveguides. conditions which TE waves with circular polarizations exist, dielectric rectangular waveguide
HW3: coaxial cable waveguide, power attenuated along a transmission line, circular waveguide, cutoff frequencies for different modes, resonant modes of a right circular cavity, TE mode in a semi-infinite rectangular wave guide, Q values, infinite rectangular waveguide
HW4: energy emitted by a dielectric sphere placed in external electric, thin linear antenna, maximum power emitted by an antenna, lifetime estimations, period of small oscillations, total power radiated, electromagnetic power emitted by a rotating neutron star, total radiated energy emitted in a head on collision
HW5: antenna made out of 4 dipoles solving for the angular distribution of emitted radiation intensity, conducting sphere in an oscillating magnetic field, square loop antenna, rotating charges finding the electric and magnetic dipole moment and quadruple moment and radiated power and electric dipole radiation
HW6: monochromatic wave on a perfectly conducting thin disc, plane wave scattered off a dielectric sphere, optical theorem
HW7:
HW8:
HW9: Lienard-Wiechart potential, radiation and relativistic systems