Quantum Mechanics II (40454) Homework Assignment #15
Due Feb. 9 in class
Please complete the following problems found in your text:
6.13 - You need to solve 4.43(a) and (c) as part of this problem.
6.
Midterm Exam Solutions - Quantum Mechanics II (PHYS40454)
(Dated: March 7, 2011)
PROBLEM I
a. The orthonormality is seen by
l |l =
1
2
2
ei(l l) d = l,l .
0
That the given wave functions are eigenfunc
Midterm Exam - Quantum Mechanics II (PHYS40454)
(Dated: March 7, 2011)
INSTRUCTIONS: Write your NAME on the front of the blue exam booklet and
sign it.
The exam is open book; you may use your textbook
Midterm Exam Solutions - Quantum Mechanics II (40454)
(Dated: March 2, 2010)
PROBLEM I
a. The Hydrogen ground state wave function is
100 =
1
a3
er/a .
Then the rst-order correction to the ground stat
Midterm Exam - Quantum Mechanics II (40454)
(Dated: March 2, 2010)
INSTRUCTIONS: Write your NAME on the front of the blue exam booklet and
sign it.
The exam is open book; you may use your textbook, no
Midterm Exam Solutions - Quantum Mechanics II (40454)
(Dated: March 5, 2009)
PROBLEM I
a. We take the know ground state wave function for the one-dimensional harmonic oscillator
from Griths Eqs. 2.71
Midterm Exam - Quantum Mechanics II (40454)
(Dated: March 5, 2009)
INSTRUCTIONS: Write your NAME on the front of the blue exam booklet and sign it.
The exam is open book; you may use your textbook, no
Final Exam Solutions - Quantum Mechanics II (PHYS40454)
(Dated: May 9, 2011)
PROBLEM I
a. Lithium is element number 3 with electron conguration (1s)2 (2s)1 . It is therefore most reasonable
to assume
Final Exam - Quantum Mechanics II (PHYS40454)
(Dated: May 9, 2011)
INSTRUCTIONS: Write your NAME on the front of the blue exam booklet and
sign it.
The exam is open book; you may use your textbook, no
Final Exam Solutions - Quantum Mechanics II (40454)
(Dated: May 5, 2010)
PROBLEM I
a. In two dimensions one state occupy an area of 2 /A in k -space. The k -space area with k < kF is
given by
12
2 kF
Final Exam - Quantum Mechanics II (40454)
(Dated: May 5, 2010)
INSTRUCTIONS: Write your NAME on the front of the blue exam booklet and
sign it.
The exam is open book; you may use your textbook, notes,
Final Exam Solutions - Quantum Mechanics II (40454)
(Dated: May 4, 2009)
PROBLEM I
a. The perturbation is
H (t) = q E(t) r = eE0
2
z.
t2 + 2
b. Dipole transition requires that the matrix elements
n l
Final Exam - Quantum Mechanics II (40454)
(Dated: May 4, 2009)
INSTRUCTIONS: Write your NAME on the front of the blue exam booklet and sign it.
The exam is open book; you may use your textbook, notes,
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