PHYS3036 Spring 2012
Elementary Quantum Mechanics I
Homework VII
Due Fri March 30, 2012 before noon
Hand in to my office in Rm4447. Do not hand in to any TA/IA.
WARNING: You are encouraged to work on the homework in groups. But each
individual should writ
PHYS3036 Spring 2012
Elementary Quantum Mechanics I
Homework VI
No need to hand in
1. Griffiths Problem 3.13, P. 112
2. Griffiths Problem 3.23, P. 124
3. Griffiths Problem 3.38, P. 129
PHYS3036 Spring 2012
Elementary Quantum Mechanics I
Homework V
Due Mon March 12, 2012 before noon
Hand in to my office in Rm4447. Do not hand in to any TA/IA.
WARNING: You are encouraged to work on the homework in groups. But each
individual should write
PHYS3036 Spring 2012
Elementary Quantum Mechanics I
Homework IV
Due Fri March 2, 2012 before noon
Hand in to my office in Rm4447. Do not hand in to any TA/IA.
WARNING: You are encouraged to work on the homework in groups. But each
individual should write
PHYS3036 Spring 2012
Elementary Quantum Mechanics I
Homework III
Due Fri Feb. 24, 2012 before noon
Hand in to my office in Rm4447. Do not hand in to any TA/IA.
WARNING: You are encouraged to work on the homework in groups. But each
individual should write
PHYS3036 Spring 2012
Elementary Quantum Mechanics I
Homework II
Due Fri Feb. 17, 2012 before noon
Hand in to my office in Rm4447. Do not hand in to any TA/IA.
WARNING: You are encouraged to work on the homework in groups. But each
individual should write
PHYS3036 Spring 2012
Elementary Quantum Mechanics I
Homework I
Due Fri Feb. 10, 2012 before noon
Hand in to my office in Rm4447. Do not hand in to any TA/IA.
WARNING: You are encouraged to work on the homework in groups. But each
individual should write u
PHYS234 Elementary Quantum Mechanics I
Sample Final Examination Questions
Formulae:
NOTE: not every formula listed here is needed in answering this exam paper
1D time-independent Schrdinger equation
2 d 2
2m dx 2 V ( x) ( x) E ( x)
Time-dependence of st
Intended Learning Outcomes of this lecture:
After this lecture you can
1. describe qualitatively how the screening effects of electrons changes the relative
energy levels of a hydrogen-like atom.
2. build up the periodic table by filling up these energy l
Intended Learning Outcomes of this lecture:
After this lecture you can
1. generalize exact results for the hydrogen atom to exact results for hydrogen-like
atoms.
2. build up approximate wavefunction for a multielectron atom based on hydrogen-like
atom an
Intended Learning Outcomes of this lecture:
After this lecture you can
1. understand how the symmetry requirement on the spatial wavefunction leads to an
effective interaction or force.
2. describe the stability of a covalent bond using the symmetry prope
PHYS3036 Spring 2012
Elementary Quantum Mechanics I
Homework VIII
Due Fri April 13, 2012 before noon
Hand in to my office in Rm4447. Do not hand in to any TA/IA.
WARNING: You are encouraged to work on the homework in groups. But each
individual should wri
PHYS3036 Spring 2012
Elementary Quantum Mechanics I
Homework IX
Due Fri April 20, 2012 before noon
Hand in to my office in Rm4447. Do not hand in to any TA/IA.
WARNING: You are encouraged to work on the homework in groups. But each
individual should write
PHYS3036 Spring 2012
Elementary Quantum Mechanics I
Homework X
Due Fri April 27, 2012 before noon
Hand in to my office in Rm4447. Do not hand in to any TA/IA.
WARNING: You are encouraged to work on the homework in groups. But each
individual should write
PHYS3036 Spring 2012
Elementary Quantum Mechanics I
Homework VIII Solution
Q1)
Q2)
(Optional)
Q3)
L2 + L2 = L2 L2 = 3(4)2 (3)2 = 32 with Probability 1
x
y
z
PHYS3036 Spring 2012
Elementary Quantum Mechanics I
Homework XII
Due Fri May 11, 2012 before noon
Mandatory:
This problem is based on Griffiths Problem 5.6, P. 210
Consider two non-interacting particles, each of mass m, in an infinite square well.
Suppose
PHYS3036 Spring 2012
Elementary Quantum Mechanics I
Homework XI
Due Fri May 4, 2012 before noon
Hand in to my office in Rm4447. Do not hand in to any TA/IA.
WARNING: You are encouraged to work on the homework in groups. But each
individual should write up
Intended Learning Outcomes of this lecture:
After this lecture you can
1. find the wavefunction (product wavefunction) and energy (sum of two individual
energies) of two non-interacting particles.
2. interpret product wavefunction as the join probability
Intended Learning Outcomes of this lecture:
After this lecture you can
1. write down the rules for adding any two (not just S = ) angular momenta.
2. interpret addition of two angular momenta as a change of basis set.
3. look up Clebsch-Gordon coefficient
Intended Learning Outcomes of this lecture:
After this lecture you can
1. combine real space wavefunction and spinor to form a total wavefunction.
2. derive, as the simplest example, the addition of two S = angular momenta to form
singlet and triplet stat
Intended Learning Outcomes for revision:
After this lecture you can
1. describe the physical meaning of bound and scattering states.
2. tell the mathematical condition that distinguishes between a bound and scattering
state in terms of it energy.
3. do si