Updated
on 12/07/2011
Solution to questions #2 and #4 of the final
exam (2011) has been posted
NW
Regional Cconference for Undergraduate Women_in_Physics, Seattle Jan
2012
__________________________________________________________________________________________________________________
PH 411/511 ECE 598
INTRODUCTION TO QUANTUM
MECHANICS
Fall-2011
Dr. Andres La Rosa
Room SRTC
(former SB2) 101
Lab:
SB-1-Room 30
T & Th 16:40 - 18:30
Ph:725-8397 andres@pdx.edu
Office Hours: T & Th 16:10-16:40 and 18:30-19:15
___________________________________________________________________________________________________________________
Textbook: No
specific textbook required. Students should
be able to follow this course with any standard Quantum Mechanics
textbook, plus the lecture notes.
The
lectures notes have been developed mainly following Richard
Feynman, “The Feynman Lectures on Physics,”
Volume
III, Addison Wesley, 1989. I have placed one copy of this
book
in the Library Reserve Room.)
Another
good complementary reference is R. Eisberg and R. Resnick,
“Quantum Physics,” 2nd Edition, Wiley, 1985
(although
I have not used it as much as the Feynman book.). This book fits well
the interest of both engineering and physics
majors.
A copy is also available in the Library Reserve Room.
If
you decided to purchase a textbook I
would suggest:
B. H. Bransdem and C. J. Joachin "
Quantum Mechanics," 2nd Ed.
Prentice Hall
"Introduction to Quantum Mechanics" by David Griffiths; 2nd
Edition, Pearson Prentice Hall.
Grading: Homework 40% To be
assigned regularly
1st Exam
30% Tuesday,
November 1st. Time 16:40 - 18:30
Final
exam
40% Tuesday,
December 6th. Time 17:30 - 19:20 Solution
to question #2
Solution to question #4
95-100 A
90-94 A-
85-89 B+ 80-85 B
70-79 B-
65-69
C+ 60-64 C
55-59 C-
Homework:
Homework 1
Homework 2
Homework 3
References that
might be helpful answering for Question #3
in HW-3
Damped
Harmonic Oscillator
Forced
Harmonic Oscillator and Resonance
Complex
variable
Homework 4
Homework 5
Additional
practice
problems on probabilities
Homework 6
Homework 7
Homework 8
LECTURE NOTES:
CHAPTER-1 INTRODUCTION
CHAPTER-2 CLASSICAL
PHYSICS: ELECTROMAGNETISM and RELATIVITY
(Review)
Reading
references:
Richard
Feynman, “The Feynman
Lectures on Physics,” Volume I,
Chapter 15, 16, 17
R.
Eisberg and R. Resnick,
“Quantum
Physics,” 2nd Ed., Wiley, 1985. Appendix A
CHAPTER-3 CHAPTER-3
THE ORIGIN OF QUANTUM PHYSICS _Part-1 Part-2
Appendix-1
Symmetry of the Physics Laws at the miicro-scale / Kirchoff
Law
Appendix-2
Emission of Radiation by an accelerated
charge
Appendix-3
Light Scattering and Radiation
Damping
Reading
reference:
Richard
Feynman, “The Feynman
Lectures on Physics,” Volume I,
Chapter 32 (Sections 32-1 to 32-3)
and
Chapeter 41 (Sections 41-2
and 41-3)
COMPLEMENT:
Counting electromagnetic
modes
C.1 Einstein's
Eistein's
Postulate of Quantized Radiation
C.1a
Calculation of the Electromagnetic Energy Density U inside a
cavity at temperature T
Concept of
electromagnetic modes, counting modes
present in a cavity, average energy
stored in a mode
C.1b
Relationship between U (energy density) and I (light
spectral density)
C.2 Light-matter
Interaction: Einstein's Law of Radiation
C.2a
Einstein's calculation of the average energy of an electromagnetic
mode
Extension of
Planck's
quantization energy of matter to light energy
quantization
C.2b
Einstein's extension of light energy quantization to light-matter
interaction
Einstein's
coefficients: absorption of light, spontaneous and stimulate
emission of light
C.2c
Sustained Stimulated Emission: LASER
Optical pumping,
laser resonator, absorption coefficient and population
inversion
Reading
references:
Richard
Feynman, “The Feynman
Lectures on Physics,” Volume I,
Chapter 32 (Sections 32-1 to 32-3)
and
Chapeter 41 (Sections 41-2
and 41-3)
R.
Eisberg and R. Resnick,
“Quantum
Physics,” 2nd Ed., Wiley, 1985. Chapters
1 and 3
CHAPTER-4 WAVEPACKETS
DESCRIPTION OF THE FREE-PARTICLE
MOTION
Appendix:
Complex variable, Addition of waves by the
PHASORS method
Reading
references:
R. Eisberg and R. Resnick,
“Quantum Physics,” 2nd
Edition, Wiley, 1985. Chapter 3.
(Section 3.2)
D. Griffiths,
"Introduction to Quantum
Mechanics"; 2nd
Ed., Pearson
Prentice Hall. Chapter 2.
CHAPTER-5 QUANTUM
BEHAVIOR of PARTICLES and the HEISENBERG's UNCERTAINTY PRINCIPLE
Practice
problems on probabilities
Reading
references:
Richard
Feynman, “The Feynman
Lectures on Physics,” Volume III,
Chapter 1
Related
references
[1]
E. Altewischer,
M. P. van Exter & J. P. Woerdman “Plasmon-assisted transmission of
entangled
photons,” NATURE 418, 304 ( 2002).
CHAPTER-6 THE
AMLITUDE PROBABILITY
Appendix-1: The
Fermat's principle
Appendix-2: Amplitude
probability and the leat time principle (Example of
how to calculate amplitude probabilities in Optics)
Reading
references:
Richard
Feynman, “The Feynman
Lectures on Physics,” Volume III,
Chapter 3
R. Eisberg and R. Resnick,
“Quantum Physics,” 2nd
Edition, Wiley, 1985. Sections
8-1 to 8-3
B. H.
Bransdem and C. J. Joachin " Quantum
Mechanics," 2nd Ed. Prentice Hall. Section 1.5
CHAPTER-7
THE
HAMILTONIAN MATRIX. How do states evolve with time?
Reading
references:
Richard
Feynman, “The Feynman
Lectures on Physics,” Volume III,
Chapter 8
CHAPTER-8 From
the HAMILTONIAN Eqs to the SCHRODINGER EQUATION
The
case of an electron propagating in a crystal
lattice
Reading
references:
Richard
Feynman, “The Feynman
Lectures on Physics,” Volume III,
Chapters 13 and 16.
CHAPTER-9
OPERATORS
and OBSERVABLES
File updaded on 12-02-2011
Construction of the QM Operators
based on the mean vaue of the corresponding physical quantity.
Reading
references:
Richard
Feynman, “The Feynman
Lectures on Physics,” Volume III,
Chapter 20.
L. D. Landau
and E. M.
Lifshitz, “Quantum
Mechanics, Non-Relativistic Theory,” Prgamon Press, 1965;
Chapter 1, Section 3 (Operators).
CHAPTER-10 SOLVING
the SCHRODINGER EQUATION
The Hydrogen
atom
Reading
references:
D. Griffiths,
"Introduction to Quantum
Mechanics"; 2nd
Ed., Pearson
Prentice Hall. Chapter 4.
B. H.
Bransdem and C. J. Joachin " Quantum
Mechanics," 2nd Ed. Prentice Hall. Sections
6.3,
7.2 and 7.5.
CHAPTER-11 IDENTICAL
PARTICLES