Quantum Mechanics II, Physics 4143: Assignment 2, Spring 2011.
1: We wish to describe the action of angular momentum operators in a space of xed angular
momentum j = 1. Construct the matrix representations of the operator Jx and Jy given the
following inf
Physics 4143: Quantum Mechanics II
Brian Kennedy
Hydrogen atom bound states via the hypergeometric equation, Spring 2011
For those who would like to test their understanding of the H-atom bound state calculation,
these notes/exercises take you through a s
Physics 4143: Some remarks on the two-state coupling problem and perturbation theory
Brian Kennedy, School of Physics, Georgia Institute of Technology, Atlanta, Georgia, 30332-0430
Consider a two state quantum mechanical system with unperturbed Hamiltonia
Physics 4143: Supplementary remarks on helium atomic structure - angular momentum labels
Brian Kennedy, School of Physics, Georgia Institute of Technology, Atlanta, Georgia, 30332-0430
The neutral helium atom has two electrons. The total orbital angular m
Quantum Mechanics II, Physics 4143: Assignment 8, Spring 2011.
Variational method and time-dependent perturbation theory examples.
1: Griths Problem 7.1: Variational method, basic examples with a gaussian trial
function.
2: Griths Problem 7.4: Variational
Quantum Mechanics II, Physics 4143: Assignment 7, Spring 2011.
Degenerate perturbation theory examples.
1: Griths Problem 6.7 This is similar to the problem we discussed in class, i.e., motion
on a circle, but with a dierent perturbation.
2: Griths Proble
Quantum Mechanics II, Physics 4143: Assignment 6, Spring 2011.
Nondegenerate perturbation theory examples.
1: Griths Problem 6.2 Harmonic oscillator: you may need to review the properties of
a and a operators from QM I, e.g. aun = nun1 ; a un = n + 1un+1
Quantum Mechanics II, Physics 4143: Assignment 5, Spring 2011.
1: Griths Problem 5.6 quantum statistics and average separation.
2: Griths Problem 5.7 Slater determinant.
3: Griths Problem 5.18 energy bands.
4: Griths Problem 5.33 Three particles.
5: Grith
Quantum Mechanics II, Physics 4143: Assignment 4, Spring 2011.
1: Griths Problem 4.56. Angular momentum as the generator of rotations.
2: Griths Problem 4.57
3: Griths Problem 5.1 and 5.2 Separating the two body problem.
4: Griths Problem 5.4 Normalizatio
Quantum Mechanics II, Physics 4143: Assignment 3, Spring 2011.
1: Griths Problem 4.33. This is an example of a problem with a time-dependent
Hamiltonian. In such a case the Hamiltonian has instantaneous eigenstates that change
continuously in time; nding
PHYSICS 4143: QUANTUM MECHANICS II (SPRING 2011)
Schedule for QMII
Instructor : Brian Kennedy, N119 Howey (oce hours: Monday 3 pm or by appointment)
Assistant : Tingnan Zhang: (to be announced)
Lectures : MWF 9.05-9.55 am L5
Goals
This is the second of a