Quantum Mechanics
Physics 403
Homework Assignment 11
Angular Momentum and Spin
1) Introduction to Quantum Mechanics 2nd ed., Griths Chapter 4
4.18
4.23
4.29
4.34
4.35
2) A particle of mass is xed at one end of a rigid rod of negligible mass and lengt
Quantum Mechanics
Physics 403
Homework Assignment 12
Perturbation Theory
1) Introduction to Quantum Mechanics 2nd ed., Griths Chapter 6
6.1
6.4
6.7
2) A plane rigid rotator having a moment of Inertia I and an
electric dipole moment d is placed in a hom
Quantum Mechanics
Physics 403
Homework Assignment 13
Fine and Hyperne structure
1) Introduction to Quantum Mechanics 2nd ed., Griths Chapter 6
6.14
6.18
6.21
2) The relativistic shift in the energy levels of a hydrogen atom due to the relativistic
depe
Quantum Mechanics
Physics 403
Homework Assignment 8
(Functional Spaces)
1) Introduction to Quantum Mechanics 2nd ed., Griths Chapter 2
3.17
3.23
3.31
2) Let T (N ) be the set of all trigonometric functions of the form
N 1
f (x) =
[an sin(nx) + bn cos(n
Quantum Mechanics
Physics 403
Homework Assignment 4
(Harmonic Oscillators in Quantum Mechanics)
1) Introduction to Quantum Mechanics 2nd ed., Griths Chapter 2
2.10
2.11
2.15
2.17
2) In quantum mechanics, by analogy with classical mechanics, a system d
Quantum Mechanics
Physics 403
Homework Assignment 3
(Time Independant Schrdinger Equation)
o
1) Introduction to Quantum Mechanics 2nd ed., Griths Chapter 2
2.1
2.3
2.5
2.9
2) Show that if the potential energy V (r) can be written as a sum of functions
Quantum Mechanics
Physics 403
Homework Assignment 10
Hydrogen Wave Functions
1) Introduction to Quantum Mechanics 2nd ed., Griths Chapter 4
4.10
4.11
4.13
4.16
2) Use a computer to plot out the surfaces of constant |2 for the rst four energy states
of
Quantum Mechanics
Physics 403
Homework Assignment 2
(Normalization and Expectation Values)
1) Introduction to Quantum Mechanics, Griths Chapter 1
1.12
1.13
1.14
2) (a) Calculate the expectation values of the kinetic energy and the potential energy for
Quantum Mechanics
Physics 403
Homework Assignment 6
(Step Potentials and Scattering)
1) Introduction to Quantum Mechanics 2nd ed., Griths Chapter 2
2.34
2.46
2.52
2) Consider the potential
V (x) =
,
if x < 0,
(x a), if x 0,
where a and are real positiv
Quantum Mechanics
Physics 403
Homework Assignment 5
(Free Particle and the Delta Function)
1) Introduction to Quantum Mechanics 2nd ed., Griths Chapter 2
2.19
2.22
2.23
2.25
2) Two expressions [D1 (x)andD2 (x)] involving delta functions are said to be
Quantum Mechanics
Physics 403
Homework Assignment 9
(Schrdinger equation in three dimensions)
o
1) Introduction to Quantum Mechanics 2nd ed., Griths Chapter 4
4.2
4.3
4.6
4.8
2) The 3-d harmonic oscilator has the potentail
Kx x 2 Ky y 2 Kz z 2
+
+
2
2