25Aug15
. See also the description of Max Planck's "trick" in Eisberg and Resnick, sections 1.2-1.4, especially page 16. Hilbert space from
Wikipedia
and from
Wolfram
Concept of the Photon
27Aug15
.
01Sep15
. See also
Complex numbers
,
Roots of Unity
,
Eigenvalues and eigenvectors
.
03Sep15
. See also
Gaussian Integrals
and
Separation of Variables
.
08Sep15
. See also
Particle in a box
.
10Sep15
. See also
Expectation value
and
Schrödinger cat states
.
15Sep15
. See also
Particle in a two-dimensional box
,
Sound matrix
.
17Sep15
. See also
Hermite polynomials
.
22Sep15
. See also
Ladder operators (Raising and lowering operators)
,
Creation and annihilation operators
.
24Sep15
. See also
Aleph null
.
29Sep15
. See also
Georg Cantor's diagonalization proof
Fourier transform
from Wikipedia
Fourier transform
sinc(x)=sin(x)/x function
- Fourier transform of top-hat function
Plancherel theorem
Parseval's theorem
Dirac delta function
from Wikipedia
Dirac delta function
from Wolfram World
PHYS 4321 slides on the Dirac delta
01Oct15
. See also
Delta potential
06Oct15 - Midterm examination preparation
Quantum Mechanics Conceptual Survey
Colorado Learning Attitudes about Science Survey
DO NOT ENTER YOUR SMU STUDENT ID NUMBER!
15Oct15
.
20Oct15
. See also
Finite square well bound states
Finite square well scattering states
22Oct15
. See also
Quantum tunnelling
27Oct15
.
29Oct15
. See also
When I was your age, we
programmed in BASIC
. And we liked it. Not really.
First-order Euler method
for solving differential equations
Runge-Kutta method
Numerical solution for the SHO
- first-order Euler
Numerical solution for the square well with a bump
- first-order Euler
Numerical solution for the SHO
- Mathematica built-in differential equation solver
03Nov15
.
05Nov15
. See also
SpectralDecomp
Mathematica notebook
10Nov15
. See also
Del in cylindrical and spherical coordinates
12Nov15
. See also
Legendre functions
17Nov15
. See also
Hydrogen wavefunctions
19Nov15
. See also
Angular momentum operator
24Nov15
. See also
Levi-Civita symbol
01Dec15
. See also
L=1 3x3 matrices - Mathematica notebook
,
PDF version
,
The SO(4) symmetry of hydrogen
,
The SO(4) symmetry of the hydrogen atom (slides)
.
03Dec15
. See also
Complete set of commuting observables(CSCO)