Quantum Mechanics

Question 1

Quantum Square Well Energies and Wavefunctions (0 to L)

Answer 1

Question 2

Quantum Harmonic Oscillator Hamiltonian (in terms of x,p and a+,a)

Answer 2

Question 3

X and P in terms of A and A+

Answer 3

Question 4

First order transition amplitude in time dependent perturbation theory

Answer 4

Question 5

First order and second order energies and first order correction to state in perturbation theory

Answer 5

Question 6

X and P Wavefunction and Fourier Relations

Answer 6

Question 7

Probability of transition to another state - time evolution in QM

Answer 7

Question 8

First two terms of U in interaction picture

Answer 8

Question 9

Describe the differential cross section in scattering theory

Answer 9

Question 10

Fermi’s Golden Rule

Answer 10

Question 11

Important Expressions from Scattering Theory

Answer 11

Question 12

Important Angular Momentum Commutation and Eigenvalue Relations

Answer 12

Question 13

Spherical Harmonics Orthoganality

Answer 13

Question 14

WKB Approximation

Answer 14

Question 15

Input to WKB Approximation for potential with: No Barriers, One Barrier, and Radial

Answer 15