Koc University
Department of Physics
Spring 2015 Term
PHYS402/OEPE542 Quantum Mechanics II
Homework:8
Due 14 May 2015
Problem:1 Consider a 2-level atomic system that is harmonically perturbed
in the rotating wave approximation. Take
H0 =
E1 0
0 E2
!
where

Ko
c University
Department of Physics
Spring 2015 Term
PHYS402/OEPE542 Quantum Mechanics II
Homework:3 (Extra Problems)
Due 26 March 2015
Problem:1 The lowest order approximation to the ground state energy Eg of
a He-atom is given by the multiple integral

Koc University
Department of Physics
Spring 2015 Term
PHYS402/OEPE542 Quantum Mechanics II
Homework:1
Due 26 February 2015
Problem:1 Suppose that a one-dimensional simple harmonic oscillator is
given in a superposition state described by
1
| >=
14
1
2
3

Ko
c University
Department of Physics
Spring 2015 Term
PHYS402/OEPE542 Quantum Mechanics II
Homework:5
Due 14 April 2015
Problem:1 An electrically charged point mass with q and m is moving in a
~ along the z-axis.
plane transverse to a constant, uniform m

Koc University
Department of Physics
Spring 2015 Term
PHYS402/OEPE542 Quantum Mechanics II
Homework:7
Due 7 May 2015
Problem:1 Show that the leading relativistic correction to the hydrogen
atom energy levels in first order perturbation theory can be given

Koc University
Department of Physics
Spring 2015 Term
PHYS402/OEPE542 Quantum Mechanics II
Homework:6
Due 30 April 2015
Problem:1 A point mass m is put in a 1-dimensional -potential well of
width L that has a step at the bottom:
(
H1 =
, L/2 < x < L
0, ot

Ko
c University
Department of Physics
Spring 2015 Term
PHYS402/OEPE542 Quantum Mechanics II
Homework:4
Due 2 April 2015
Problem:1 Take the classical Hamiltonian function
1
q~
p~ A
2m
c
H(~x, p~) =
2
+ q
and show that the corresponding Hamiltons equations