Advanced Quantum Mechanics Flashcards
1
Q
X in terms of ladder operators
A
X = sqrt(h/2mw) (a+ + a)
2
Q
Commutators of L with L, X and P
A
See lecture 5.1
3
Q
Rotation operator
A
U(theta) = exp(- i/h theta * L)
4
Q
Fourier transforms
A
see notes
5
Q
EM Hamiltonian
A
H = 1/2m(p - e/c A )^2 + e phi
6
Q
A and phi (electro)
A
curl B = A, div phi = E
7
Q
Time evolution operator
A
-
8
Q
Time evolution in the Heisenberg picture
A
-
9
Q
Stationary perturbation theory
A
-
10
Q
Neumann series
A
11
Q
Transition amplitude
A
12
Q
Translation operator
A
13
Q
Rotation operator
A
14
Q
Gauge transformations
A
15
Q
Pauli equations
A
16
Q
Expectation values with Density operator
A
17
Q
von Neumann equation
A
18
Q
Entanglement entropy
A
