Students are encouraged to print and read the course lecture notes in advance of lectures. The other suggested references and readings for these topics are included in the following table by lecture. A legend with citations for the readings can be found below the table.
Course readings
| Lec # |
Topics |
readings |
| 1 |
Time-Independent Hamiltonian
Two-Level System
Density Matrix
|
A (pp. 405-420)
B (Chapter 1)
D (Chapter 2)
|
| 2 |
Quantum Dynamics: The Time-Evolution Operator
|
H (Chapter 14)
I (Chapter 2)
D
A (p. 308) |
| 3 |
The Schrödinger, Heisenberg, and Interaction Pictures |
I
A (p. 1340) |
| 4 |
Time-Development of State Amplitudes: Resonant Driving of a Two-Level System |
I (Chapter 2)
D
B (Chapter 4)
A (p. 312) |
| 5 |
Perturbation Theory I |
I
A (p. 1285)
B (Chapter 4) |
| 6 |
Perturbation Theory II |
|
| 7 |
Fermi's Golden Rule |
C (Chapter 4)
I
A (p. 1299) |
| 8 |
Irreversible Relaxation |
H (p. 510)
A (p. 1344) |
| 9 |
Interaction of Light and Matter
Electric Dipole Hamiltonian |
B (Chapter 5)
E
A
C
H
I |
| 10 |
Electric Dipole Hamiltonian and Absorption of Light |
B (Chapter 5)
E
A
C
H
I |
| 11 |
Spectroscopy of Aggregates |
U |
| 12 |
Spectroscopy of Aggregates (cont.) |
|
| 13 |
Time-Correlation Functions |
C
G (Chapter 21)
K-OD
B (Chapter 10) |
| 14 |
Absorption Lineshape from Time-Correlation Functions |
C
M
B
G (Chapter 21) |
| 15 |
Electronic Spectroscopy: The Displaced Harmonic Oscillator Model |
D
V |
| 16 |
Displaced Harmonic Oscillator |
D (Chapter 8) |
| 17 |
Displaced Harmonic Oscillator (cont.) |
D (Chapter 8) |
| 18 |
Lineshapes: Fluctuation and Relaxation |
R
S
B (Chapter 10) |
| 19 |
Quantum Fluctuations |
P
Q
T
B (Chapter 11) |
| 20 |
Vibrational Relaxation |
P
Q
T
B (Chapter 11) |
| 21 |
Förster Theory and Marcus Theory |
L
N
F |
| 22 |
Linear Response Theory |
D (Chapter 5) |
| 23 |
Nonlinear Spectroscopy I |
D (Chapter 5) |
| 24 |
Nonlinear Spectroscopy II |
|
| 25 |
Nonlinear Spectroscopy III |
|
| 26 |
Nonlinear Spectroscopy IV |
|
Recommended Texts
(A) Cohen-Tannoudji, Claude, Bernard Diu, and Franck Laloë. Quantum Mechanics. Vols. 1 and 2, 2nd ed. Paris, France: Wiley-Interscience, 1977. ISBN: 0471569526. [Covers several topics in the first half of the class with a somewhat different approach.]
(B) Schatz, George C., and Mark A. Ratner. Quantum Mechanics in Chemistry. Mineola, NY: Dover Publications, 2002. ISBN: 0486420035. [This is an important book to have. It has the most overlap with the topics we will cover, uses a similar language and notation, and treats the problems at a similar level.]
(C) McHale, J. L. Molecular Spectroscopy. Upper Saddle River, NJ: Prentice Hall, 1999. ISBN: 0132290634. [This text covers basic light matter interactions, correlation functions, and various molecular spectroscopies.]
(D) Mukamel, S. Principles of Nonlinear Optical Spectroscopy. New York, NY: Oxford University Press, 1995. ISBN: 0195132912. [This is an advanced text that treats quantum dynamics, correlation functions, response functions, coupling of a system to a bath, and nonlinear spectroscopy.]
General References
(E) Baym, G. Lectures on Quantum Mechanics. London, UK: Benjamin/Cummings, 1969.
(F) Ernst, R. R., G. Bodenhausen, and A. Wokaun. Principles of Nuclear Magnetic Resonance in One and Two Dimensions. New York, NY: Oxford, 1987. [Includes discussion of time-evolution in quantum systems, correlation functions, linear response.]
(G) McQuarrie, D. A. Statistical Mechanics. New York, NY: Harper and Row, 1976. [Useful for correlation function description of spectroscopy.]
(H) Merzbacher, E. Quantum Mechanics. 3rd ed. New York, NY: Wiley, 1998. [General physics text for quantum dynamics, perturbation theory, light matter interactions.]
(I) Sakurai, J. J. Modern Quantum Mechanics. Reading, MA: Addison-Wesley, 1994.
Other References
Electromagnetic Waves
(J) Jackson, J. D. Classical Electrodynamics. New York, NY: Wiley. [Useful for light-matter interactions. Chapter 6 describes vector and scalar potentials and chapter 7 talks about plane waves.]
Correlation Functions and Linear Response Theory
(K) Berne, B. J. Physical Chemistry: An Advanced Treatise. Vol. VIIIB. Edited by D. Henderson. New York, NY: Academic Press, 1971.
(L) Berne, B. J., and R. Pecora. Dynamic Light Scattering. Malabar, FL: R. E. Krieger Publishing Co., 1990.
(M) Gordon, R. G. "Correlation functions for molecular motion." Adv Magn Reson 3, no. 1 (1968).
(N) Wang, C. H. Spectroscopy of Condensed Media: Dynamics of Molecular Interactions. Orlando, FL: Academic Press, 1985.
(O) Zwanzig, R. "Time-Correlation Functions and Transport Coefficients in Statistical Mechanics." Annu Rev Phys Chem 16 (1965): 67-102.
Density Matrix and Relaxation
(P) Slichter, Charles P. Principles of Magnetic Resonance with Examples from Solid State Physics. New York, NY: Harper and Row, 1963. [Useful for discussion of density matrix and relaxation.]
(Q) Blum, K. Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981. [Includes description of density matrix and relaxation.]
Förster and Marcus Theory
(R) Barbara, P. F., T. J. Meyer, and M. A. Ratner. "Contemporary issues in electron transfer research." J Phys Chem 100 (1996): 13148-13168.
(S) Jortner, J. "Temperature dependent activation energy for electron transfer between biological molecules." J Chem Phys 64 (1976): 4860-4867.
Vibrational Relaxation
(T) Oxtoby, D. W. "Vibrational population relaxation in liquids." Adv Chem Phys 47 (1981): 487-519.
Molecular Spectroscopy of Aggregates
(U) Knoester, J. "Optical Properties of Molecular Aggregates." In Proceedings of the International School of Physics "Enrico Fermi" Course CXLIX. Edited by M. Agranovich, and G. C. LaRocca. Amsterdam: IOS Press, 2002, pp. 149-186.
Semiclassical Methods for Spectroscopy
(V) Heller, E. "The semiclassical way to molecular spectroscopy." Acc Chem Res 14 (1981): 368-375.