Introduction to Quantum Mechanics and Spectroscopy
CHEM 312

Fall 2014
Problems to try on your own:
McQ: Chapter 1
Examples: 114
Problems: 14 (E: energy), 68, 11, 1343, 4651
Problem Set to be handed in:
Homework Assignment A, due 11:00 Tuesday, September 23,
no lates accepted!
Do the problems individually
Some exam ques
Introduction to Quantum Mechanics and Spectroscopy
CHEM 312

Fall 2014
CHEM 312: Home assignment C
Submit the solutions by Tuesday, Oct 18, 9.30 a.m. to Roman Krems
No late submissions will be accepted
C1: In each case, show that f (x) is the eigenfunction of A.
(a) A = d2 /dx2 ,
f (x) = cos(x)
(b) A = 4d2 /dx2 + 2d/dx + 7,
Introduction to Quantum Mechanics and Spectroscopy
CHEM 312

Fall 2014
CHEM 312: Home assignment A
Return the solutions by Tuesday, Sept 20, 9.30 a.m. to Roman Krems
No late submissions will be accepted
A1: Show that, in the limit of long wavelength (low frequency), the Plank radiation law:
(, T )d =
1
8h 3 h/kT
e
1
d
c3
goe
Introduction to Quantum Mechanics and Spectroscopy
CHEM 312

Fall 2014
CHEM 312: Home assignment B
Submit the solutions by Tuesday, Oct 4, 9.30 a.m. to Roman Krems
No late submissions will be accepted
B1: Calculate the de Broglie wavelengths for an electron in the first and second Bohr orbits of a
Hydrogen atom. In each case
Introduction to Quantum Mechanics and Spectroscopy
CHEM 312

Fall 2014
This examination consists of 7 consecutively numbered pages. Please check that your paper is complete
before starting work. All work must be shown in this booklet.
Name:
Student number:
(print, surname first)
Signature:
University of British Columbia
Midt
Introduction to Quantum Mechanics and Spectroscopy
CHEM 312

Fall 2013
Well Behaved Functions
Compton Effect
1. The Compton Effect was first observed by studying the scattering of Xrays by a
graphite target. Although the incident Xrays were monochromatic, the scattered Xrays
contained an additional component of longer wav
Introduction to Quantum Mechanics and Spectroscopy
CHEM 312

Fall 2013
De Broglie's Matter Waves
The Rutherford and Bohr models are based on the concept that the ultimate components
of matter are particles. An alternative picture began to emerge in the 1920's when Louis
de Broglie suggested in his doctoral thesis (1923) that
Introduction to Quantum Mechanics and Spectroscopy
CHEM 312

Fall 2013
Function vs Relation
A "relation" is just a relationship between sets of information. Think of all the people in
one of your classes, and think of their heights. The pairing of names and heights is a
relation. In relations and functions, the pairs of name
Introduction to Quantum Mechanics and Spectroscopy
CHEM 312

Fall 2013
Eigen Functions
Eigenfunctions and eigenvalues are quite important mathematical concepts in science.
Perhaps no where is this more true than with quantum mechanics. Indeed, the primary
equation of quantum chemistry  Schrdinger's equation  is itself an e
Introduction to Quantum Mechanics and Spectroscopy
CHEM 312

Fall 2014
This examination consists of 7 consecutively numbered pages. Please check that your paper is complete
before starting work. All work must be shown in this booklet.
Name:
Student number:
(print, surname first)
Signature:
University of British Columbia
Midt
Introduction to Quantum Mechanics and Spectroscopy
CHEM 312

Fall 2014
This examination consists of 6 consecutively numbered pages. Please check that your paper is complete
before starting work. All work must be shown in this booklet.
Name:
Student number:
(print, surname first)
Signature:
University of British Columbia
Midt
Introduction to Quantum Mechanics and Spectroscopy
CHEM 312

Fall 2014
Problems to try on your own:
McQ: Chapter 1
Examples: 114
Problems: 14 (E: energy), 68, 11, 1343, 4651
Problem Set to be handed in:
Homework Assignment A, due 11:00 Tuesday, September 23,
no lates accepted!
Do the problems individually
Some exam ques
Introduction to Quantum Mechanics and Spectroscopy
CHEM 312

Fall 2014
Quiz 0
Quiz 0 will be released this Friday and due on Monday, Sept 15
This quiz is not for marks but do it!
Tutorials
Tuesday, 2  3 pm in Room D215 located in Main Chemistry Building
Friday, 2  3 pm in Room D217 (Note the room is dierent) located
in Mai
Introduction to Quantum Mechanics and Spectroscopy
CHEM 312

Fall 2014
Problems to try on your own:
McQ: Chapter 1
Examples: 114
Problems: 14 (E: energy), 68, 11, 1343, 4651
McQ: Chapter 3
Examples: 17
Problems: 110, 1234 (nd errors in 22 & 23!)
Problem Set to be handed in:
Homework Assignment A, due 11:00 Tuesday, S
Introduction to Quantum Mechanics and Spectroscopy
CHEM 312

Fall 2014
Quiz 1  starts this Friday, due on Monday
For next week, read: Chapter 4
Problems to try on your own:
McQ: Chapter 4
Examples: 110
Problems: 13, 516, 1824, 2629
Problem Set to be handed in:
Homework assignment 2 is now posted. It is due on Oct 7.
So
Introduction to Quantum Mechanics and Spectroscopy
CHEM 312

Fall 2014
This week: Quiz 1 (goes online on Friday, due by Monday).
For next week, read: Chapter 4
Problems to try on your own:
McQ: Chapter 4
Examples: 110
Problems: 13, 516, 1824, 2629
Problem Set to be handed in:
Homework assignment 2 is now posted. It is d
Introduction to Quantum Mechanics and Spectroscopy
CHEM 312

Fall 2014
CHEM 312: Home assignment A
Return the solutions by Tuesday, Sept 23, 11 a.m. to Roman Krems
No late submissions will be accepted
A1: Show that, in the limit of long wavelength (low frequency), the Plank radiation law:
(, T )d =
8h 3 h/kT
e
1
c3
1
d
goes
Introduction to Quantum Mechanics and Spectroscopy
CHEM 312

Fall 2014
CHEM 312: Home assignment B
Submit the solutions by Tuesday, Oct 7, 11 a.m. to Roman Krems
No late submissions will be accepted
B1: Calculate the de Broglie wavelengths for an electron in the rst and second Bohr orbits of a
Hydrogen atom. In each case, ho
Introduction to Quantum Mechanics and Spectroscopy
CHEM 312

Fall 2014
CHEM 312: Home assignment D
Submit the solutions by Tuesday, November 3, 9.30 a.m. to Roman Krems
No late submissions will be accepted
D1: Consider a particleinabox prepared in a quantum state described by the wave function
= Ax2 (a x). Although this
Introduction to Quantum Mechanics and Spectroscopy
CHEM 312

Fall 2014
CHEM 312: Home assignment E
Submit the solutions by Tuesday, November 24, 9.30 a.m. to Roman Krems
Note that the submission date is extended to Nov 24
No late submissions will be accepted
E1: The l = 0 to l = 1 transition for carbon monoxide (12 C16 O) oc
Introduction to Quantum Mechanics and Spectroscopy
CHEM 312

Fall 2014
CHEM 312: Home assignment B
Submit the solutions by Tuesday, Oct 6, 9.30 a.m. to Roman Krems
No late submissions will be accepted
B1: Calculate the de Broglie wavelengths for an electron in the first and second Bohr orbits of a
Hydrogen atom. In each case
Introduction to Quantum Mechanics and Spectroscopy
CHEM 312

Fall 2014
CHEM 312: Home assignment A
Return the solutions by Tuesday, Sept 22, 11 a.m. to Roman Krems
No late submissions will be accepted
A1: Show that, in the limit of long wavelength (low frequency), the Plank radiation law:
(, T )d =
1
8h 3 h/kT
e
1
d
3
c
goes
Introduction to Quantum Mechanics and Spectroscopy
CHEM 312

Fall 2014
CHEM 312: Home assignment C
Submit the solutions by Tuesday, Oct 20, 9.30 a.m. to Roman Krems
No late submissions will be accepted
C1: In each case, show that f (x) is the eigenfunction of A.
(a) A = d2 /dx2 ,
f (x) = cos(x)
(b) A = 4d2 /dx2 + 2d/dx + 7,
Introduction to Quantum Mechanics and Spectroscopy
CHEM 312

Fall 2014
This examination consists of 7 consecutively numbered pages. Please check that your paper is complete
before starting work. All work must be shown in this booklet.
Name:
Student number:
(print, surname first)
Signature:
University of British Columbia
Midt
Introduction to Quantum Mechanics and Spectroscopy
CHEM 312

Fall 2013
Harmonic Oscillator
The 1D Harmonic Oscillator
The harmonic oscillator is an extremely important physics problem. Many potentials look
like a harmonic oscillator near their minimum. This is the first nonconstant potential for
which we will solve the Schr