PHYS431 QUANTUM MECHANICS
HOMEWORK ASSIGNMENT #3
Due: Friday, March 22, 2013 (before 13:40)
Q1) Consider the motion of a particle of mass m in the potential
corresponding to a 3-dimensional harmonic o
PHYS 431 QUANTUM MECHANICS
HOMEWORK ASSIGNMENT #5
Solutions
Q1)
a) Since =
11
) = is Hermitian
1 1
then is unitary. Then we have = = . Let us calculate this:
11 1 11 1
12 0
10
=
(
)
(
)= (
)=(
) =
0
PHYS 431
QUANTUM MECHANICS
HOMEWORK ASSIGNMENT #6
Due: Monday, May 13, 2013 (before 12:30)
(Solutions will be announced at 14:00)
2
( ). What is the probability that a measurement of the
1
= 1 (3 + 4
PHYS431 QUANTUM MECHANICS
HOMEWORK ASSIGNMENT #4
Due: Thursday, April 4, 2013 (before 17:30)
Q1) A particle of mass m is constrained to move between two concentric impermeable spheres
of radii
and
. T
PHYS 431 QUANTUM MECHANICS
HOMEWORK ASSIGNMENT #5
Due: Friday, April 26, 2013 (before 17:30)
Q1) Consider the operator , which is represented by the matrix
a)
b)
c)
d)
Is Hermitian?
Is unitary?
Find T
PHYS431 QUANTUM MECHANICS
HOMEWORK ASSIGNMENT #1
Due: Friday, March 8, 2013 (before 13:40)
Q1) Use problem 9.14 from the Liboffs book, to show that
and
Q2) Consider a molecule which may be represented
PHYS431 QUANTUM MECHANICS
HOMEWORK ASSIGNMENT #2
Due: Friday, March 15, 2013 (before 13:40)
Q1) Suppose that is measured for a rigid rotator and the value
is found.
(a) If
is then measured, what possi