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 o
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
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 q
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
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
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
quantu
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 y
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-
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
sessio
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 s
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 st
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(
Physics 453, Fall 2017 Homework #3
Problem 1: Derive the solutions for the angular wave equation in spherical coordinates for
any spherically symmetric potential.
Problem 2: Derive the energy levels a
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 Novem
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 Novemb
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 b
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,
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 d
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
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 r
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 r
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
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, eve
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.
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
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 Novembe
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 Novembe
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 in