This is an archival listing of my notes from 2015.

December 17, 2015 Particle in charged uniform electric and magnetic fieldsDecember 16, 2015 Non-interacting particles in a box

December 16, 2015 Totally asymmetric potential

December 16, 2015 Commutators for some symmetry operators

December 16, 2015 Plane wave and spinor under time reversal

December 15, 2015 Time reversal behaviour of solutions to crystal spin Hamiltonian

December 15, 2015 Spin three halves spin interaction

December 14, 2015 Angular momentum expectation

December 14, 2015 Expectation of spherically symmetric 3D potential derivative

December 13, 2015 Quadradic Zeeman effect

December 13, 2015 (L_y) perturbation

December 11, 2015 Lz and Ls eigenvalues and probabilities for a wave function

December 10, 2015 Van der Wall potential and Stark effect

December 10, 2015 Pertubation theory

December 07, 2015 2D SHO xy perturbation

December 07, 2015 Simplest perturbation two by two Hamiltonian

December 05, 2015 Harmonic oscillator with energy shift

December 04, 2015 Energy estimate for an absolute value potential

December 04, 2015 Non-degenerate pertubation

December 03, 2015 Pertubation theory

December 02, 2015 Variational problems

November 27, 2015 AlternateDiracEquation

November 27, 2015 Variational method

November 26, 2015 Approximation methods

November 24, 2015 Expansion of the squared angular momentum operator

November 22, 2015 Angular momentum

November 21, 2015 Clebsch-Gordan

November 19, 2015 Dirac delta function potential

November 17, 2015 Addition of angular momenta

November 17, 2015 Symmetries

November 14, 2015 Two spin time evolution

November 12, 2015 angular momentum rotation representation, and angular momentum addition

November 11, 2015 Angular momentum (cont.)

November 08, 2015 Position operator in momentum space representation

November 07, 2015 Time reversal (cont.)

November 05, 2015 Symmetry (cont.)

November 04, 2015 A curious proof of the Baker-Campbell-Hausdorff formula

November 04, 2015 more on coherent states

November 02, 2015 Determining the rotation angle and normal for a rotation through Euler angles

November 01, 2015 Ensembles for spin one half

October 31, 2015 Unimodular transformation

October 30, 2015 Some spin problems

October 29, 2015 Symmetries in QM

October 29, 2015 Dirac equation

October 22, 2015 Commutators of angular momentum and a central force Hamiltonian

October 20, 2015 1D Dirac scattering off potential step

October 20, 2015 Aharonov-Bohm effect and Landau levels

October 18, 2015 Plane wave ground state expectation

October 16, 2015 Aharonov-Bohm effect and Landau levels

October 15, 2015 Time evolution of spin half probability and dispersion

October 15, 2015 Dirac equation (cont.)

October 15, 2015 Expectations for SHO Hamiltonian, and virial theorem.

October 13, 2015 Dirac equation in 1D

October 07, 2015 Coherent states, virial theorem, and correlation function

October 07, 2015 1D SHO linear superposition that maximizes expectation

October 06, 2015 Electromagnetic gauge transformation and Aharonov-Bohm effect

October 01, 2015 time evolution of coherent states, and charged particles in a magnetic field

September 30, 2015 Density matrix and spin

September 29, 2015 Quantum Harmonic oscillator and coherent states

September 28, 2015 Can anticommuting operators have a simulaneous eigenket?

September 26, 2015 Lagrangian for magnetic portion of Lorentz force

September 24, 2015 Density matrix (cont.)

September 24, 2015 Constant magnetic solenoid field

September 22, 2015 Lighting review

September 20, 2015 Entropy when density operator has zero eigenvalues

September 17, 2015 Lighting review

September 17, 2015 Gauge transformed probability current

September 15, 2015 Gauge transformation

September 10, 2015 Generalized Gaussian integrals

September 07, 2015 Free particle propagator

September 05, 2015 Partition function and ground state energy

September 05, 2015 Correlation function

September 02, 2015 Momentum space representation of Schrodinger equation

September 02, 2015 SHO translation operator expectation

September 01, 2015 Quantum Virial Theorem

August 31, 2015 A symmetric real Hamiltonian

August 29, 2015 Operator matrix element

August 21, 2015 Hermite polynomial normalization constant

August 19, 2015 Relation of probability flux to momentum

August 19, 2015 Diagonalizating the Quantum Harmonic Oscillator

August 14, 2015 Heisenberg picture position commutator

August 13, 2015 Heisenberg picture spin precession

August 13, 2015 Dynamics of non-Hermitian Hamiltonian

August 07, 2015 Translation operator problems

August 05, 2015 More ket problems

July 28, 2015 Cascading Stern-Gerlach

July 27, 2015 Bra-ket and spin one-half problems

July 23, 2015 bra-ket manipulation problems

July 21, 2015 Pauli matrix problems

July 19, 2015 An observation about the geometry of Pauli x,y matrices

July 06, 2015 Schwartz inequality in bra-ket notation

May 16, 2015 Impedance transformation

May 06, 2015 Plane wave solution directly from Maxwell's equations

May 05, 2015 coupled wave equation in cylindrical coordinates

May 04, 2015 Tangential and normal field components

April 15, 2015 Aperture and Patch Antennas

March 29, 2015 Antenna array design

March 23, 2015 Antenna array design with Chebychev polynomials

March 22, 2015 Chebychev antenna design

March 16, 2015 Reciprocity theorem

March 16, 2015 Corner cube image factor

March 14, 2015 Image theorem

March 13, 2015 Tschebyscheff polynomials

March 11, 2015 Dipoles and corner cube antennas

March 09, 2015 Circumference of an ellipse

March 08, 2015 Parallel projection of electromagnetic fields with Geometric Algebra

March 07, 2015 Resolving fields into components parallel to the reflecting plane

March 02, 2015 Duality transformation

February 27, 2015 Duality transformation of the far field fields.

February 22, 2015 Maxwell's equations in tensor form with magnetic sources

February 21, 2015 Reciprocity theorem in Geometric Algebra

February 20, 2015 energy momentum conservation with magnetic sources

February 17, 2015 Fundamental parameters and Field radiation

February 16, 2015 Linear wire antennas

February 03, 2015 Phasor form of (extended) Maxwell's equations in Geometric Algebra

February 03, 2015 Maxwell's (phasor) equations in Geometric Algebra

February 01, 2015 Maxwell's (phasor) equations in Geometric Algebra

January 31, 2015 On Tai and Pereira's half power beamwidth approximations

January 28, 2015 Maxwell's equations

January 26, 2015 Fundamental parameters of Antennas

January 24, 2015 Polarization review

January 22, 2015 Fundamental parameters of Antennas

Reading notes for chapter 2.