Phys 453
Prof. P. Berman
Quantum Mechanics
Fall, 2011
_
Problem Set 4 - Solutions
Due Friday, October 7
First Exam: Tuesday, October 11, 5:30-7:30 in Room 340 West
Hall. All material through lecture on October 7. Bring a blue or
green book and a calculato
Phys 453
Prof. P. Berman
Quantum Mechanics
Fall, 2011
_
Problem Set 7 - Solutions
Second Exam: Tuesday, November 15, 5:30-7:30 in Room 340 West
Hall. All material through lecture on November 11. Bring a blue or
green book and a calculator. A review sessio
Phys 453
Prof. P. Berman
Quantum Mechanics
Fall, 2011
_
Problem Set 9 - Solutions
Second Exam: Tuesday, November 15, 5:30-7:30 in Room 340 West
Hall. All material through lecture on November 11. Bring a blue or
green book and a calculator. A review sessio
Phys 453
Prof. P. Berman
Quantum Mechanics
Fall, 2011
_
Problem Set 10 - Solutions
Note: No classes Nov. 23 and Dec. 2
0.1
Qualitative question
1. For bound state problems with spherical symmetry in quantum mechanics,
we always nd that ` must always be le
Phys 453
Prof. P. Berman
Quantum Mechanics I
Fall, 2011
_
Problem Set 2 - Solutions
First Exam: Tuesday, October 11, 5:30-7:30 in Room 340 West
Hall. All material through lecture on October 7. Bring a blue or
green book and a calculator. A review session
Phys 453
Prof. P. Berman
Quantum Mechanics
Fall, 2011
_
Problem Set 1
Due Friday, September 16
Problems are an essential part of the course. You can work in
groups on the problems, but must write up your answers individually.
It simple - to learn the mate
Phys 453
Prof. P. Berman
Quantum Mechanics
Fall, 2011
_
Problem Set 6
Due Friday, October 21
0.1
Qualitative question
For the potential step with energy above or below the barrier, how does the
quantum problem dier from the corresponding classical problem
Physics 453 Homework Assignment #2
Due January 20 in class
1. [f the functions f(x) and a(k) are Fourier transforms of one another, prove
Parseval's theorem
oo
Hf(x)|2dx=:f|a(k)|2dk
oo
2. Show that d(p) = (311)
dr ax
3. Grifths Problem 1.14
4. Grifths P
Physics 453 Homework Assignment #1
Due date ]onuary 13, 201 7 in class
1. Draw an energy level diagram for the hydrogen atom based on Bohrs theory, indicating
the energies of the four lowest energy states. Also indicate the radius. electron velocity and
a
Physics 4-53 - Homework Assignment #3
Due january 27 in class
1. Consider a Hermitian operator A with orthonormal eigenfunctions t1!" (x) that have
corresponding eigenvalues an. At a given time, the state of a single quantum system is
equal to
tit/(X) = N
Phys 453
Prof. P. Berman
Quantum Mechanics
Fall, 2011
_
Problem Set 12
Final Exam: Monday, December 19, 6:00-9:00 in Room 335 West
Hall. Bring two blue or green books and a calculator. A review
session will be held in 4404 Randall on Thursday, Dec. 15 fro
Phys 453
Prof. P. Berman
Quantum Mechanics
Fall, 2011
_
Problem Set 10
Due Wednesday, November 30
Recitation will be on Monday, Dec. 28 - No Recitation on Dec. 1
Final Exam: Monday, December 19, 6:00-9:00 in Room 335 West
Hall. Bring two blue or green boo
Phys 453
Prof. P. Berman
Quantum Mechanics
Fall, 2011
_
Problem Set 10
Due Friday, November 18
Second Exam: Tuesday, November 15, 5:30-7:30 in Room 340 West
Hall. All material through lecture on November 11. Bring a blue or
green book and a calculator. A
Phys 453
Prof. P. Berman
Quantum Mechanics
Fall, 2011
_
Problem Set 9
Due Friday, November 11
Second Exam: Tuesday, November 15, 5:30-7:30 in Room 340 West
Hall. All material through lecture on November 11. Bring a blue or
green book and a calculator. A r
Phys 453
Prof. P. Berman
Quantum Mechanics
Fall, 2011
_
Problem Set 8
Due Friday, November 4
Second Exam: Tuesday, November 15, 5:30-7:30 in Room 340 West
Hall. All material through lecture on November 11. Bring a blue or
green book and a calculator. A re
Phys 453
Prof. P. Berman
Quantum Mechanics
Fall, 2011
_
Problem Set 3 - Solutions
First Exam: Tuesday, October 11, 5:30-7:30 in Room 340 West
Hall. All material through lecture on October 7. Bring a blue or
green book and a calculator. A review session wi
Phys 453
Prof. P. Berman
Quantum Mechanics
Fall, 2011
_
Problem Set 5 - Solutions
0.1
Qualitative question
1. Why is the maximum possible degeneracy in one-dimensional problems equal
to 2? In general, under what conditions is there degeneracy in one-dimen
Phys 453
Prof. P. Berman
Quantum Mechanics
Fall, 2011
_
Problem Set 6 - Solutions
0.1
Qualitative question
For the potential step with energy above or below the barrier, how does the
quantum problem dier from the corresponding classical problem? If the po
Phys 453
Prof. P. Berman
Quantum Mechanics
Fall, 2011
_
Problem Set 8 - Solutions
Second Exam: Tuesday, November 15, 5:30-7:30 in Room 340 West
Hall. All material through lecture on November 11. Bring a blue or
green book and a calculator. A review sessio
Phys 453
Prof. P. Berman
Quantum Mechanics
Fall, 2011
_
Problem Set 11 - Solutions
Final Exam: Monday, December 19, 6:00-9:00 in Room 335 West
Hall. Bring two blue or green books and a calculator. A review
session will be held in 4404 Randall on Thursday,
Phys 453
Prof. P. Berman
Quantum Mechanics
Fall, 2011
_
Problem Set 12 - Solutions
Final Exam: Monday, December 19, 6:00-9:00 in Room 335 West
Hall. Bring two blue or green books and a calculator. A review
session will be held in 4404 Randall on Thursday,
Phys 453
Prof. P. Berman
Quantum Mechanics
Fall, 2011
_
Problem Set 2
Due Friday, September 23
Warning: Although the surgeon general has ruled that problem
solving is good for your health, some of the problems for this course
may have some "bugs". Let me
Phys 453
Prof. P. Berman
Quantum Mechanics
Fall, 2011
_
Problem Set 3
Due Friday, September 30
0.1
Qualitative question
1. Why doesn the momentum distribution change in time for a free partit
cle, even though the wave function changes? How would you expec
Phys 453
Prof. P. Berman
Quantum Mechanics
Fall, 2011
_
Problem Set 4
Due Friday, October 7
First Exam: Tuesday, October 11, 5:30-7:30 in Room 340 West
Hall. All material through lecture on October 7. Bring a blue or
green book and a calculator. A review
Phys 453
Prof. P. Berman
Quantum Mechanics
Fall, 2011
_
Problem Set 5
Due Friday, October 14
First Exam: Tuesday, October 11, 5:30-7:30 in Room 340 West
Hall. All material through lecture on October 7. Bring a blue or
green book and a calculator. A review
Phys 453
Prof. P. Berman
Quantum Mechanics
Fall, 2011
_
Problem Set 7
Due Friday, October 28
Second Exam: Tuesday, November 15, 5:30-7:30 in Room 340 West
Hall. All material through lecture on November 11. Bring a blue or
green book and a calculator. A re
Phys 453
Prof. P. Berman
Quantum Mechanics I
Fall, 2011
_
Problem Set 1 - Solutions
1. The theory and experiment diered at high frequencies where the theory
predicted that the energy density should increase, but experiment showed a decrease. The theory wa