Readings | Introductory Quantum Mechanics II | Chemistry

Recommended texts, general references, and other references are listed below the table.

Readings
Lec #	TOPICS	READINGS
1	Time-Independent Hamiltonian Two-Level System Density Matrix	Two Level System Mukamel, S. Chapter 2 in Principles of Nonlinear Optical Spectroscopy. New York, NY: Oxford University Press, 1995. Cohen-Tannoudji, Claude, Bernard Diu, and Franck Laloë. Quantum Mechanics. 2nd ed. Vols. 1 and 2. Paris, France: Wiley-Interscience, 2006, pp. 405, and 420. ISBN: 9780471569527. Density Matrix Blum, K. Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981. Ernst, R. R., G. Bodenhausen, and A. Wokaun. Principles of Nuclear Magnetic Resonance in One and Two Dimensions. New York, NY: Oxford University Press, 1987. McHale, J. L. Molecular Spectroscopy. Upper Saddle River, NJ: Prentice Hall, 1999. Sakurai, J. J. Modern Quantum Mechanics. Reading, MA: Addison-Wesley, 1994.
2	Quantum Dynamics; Time-Evolution Operator	Merzbacher, E. Chapter 14 in Quantum Mechanics. 3rd ed. New York, NY: Wiley, 1998. Sakurai, J. J. Chapter 2 in Modern Quantum Mechanics. Reading, MA: Addison-Wesley, 1994. Mukamel, S. Principles of Nonlinear Optical Spectroscopy. New York, NY: Oxford University Press, 1995. Cohen-Tannoudji, Claude, Bernard Diu, and Franck Laloë. Quantum Mechanics. 2nd ed. Vols. 1 and 2. Paris, France: Wiley-Interscience, 2006, p. 308. ISBN: 9780471569527.
3	Schrödinger/Heisenberg/Interaction Pictures	Sakurai, J. J. Chapter 2 in Modern Quantum Mechanics. Reading, MA: Addison-Wesley, 1994. Mukamel, S. Principles of Nonlinear Optical Spectroscopy. New York, NY: Oxford University Press, 1995. Cohen-Tannoudji, Claude, Bernard Diu, and Franck Laloë. Quantum Mechanics. 2nd ed. Vols. 1 and 2. Paris, France: Wiley-Interscience, 2006, p. 312. ISBN: 9780471569527.
4	Time-development of State Amplitudes/Resonant Driving of Two-Level System	Sakurai, J. J. Modern Quantum Mechanics. Reading, MA: Addison-Wesley, 1994. Cohen-Tannoudji, Claude, Bernard Diu, and Franck Laloë. Quantum Mechanics. 2nd ed. Vols. 1 and 2. Paris, France: Wiley-Interscience, 2006, p. 1340. ISBN: 9780471569527.
5	Perturbation Theory	Sakurai, J. J. Modern Quantum Mechanics. Reading, MA: Addison-Wesley, 1994. Cohen-Tannoudji, Claude, Bernard Diu, and Franck Laloë. Quantum Mechanics. 2nd ed. Vols. 1 and 2. Paris, France: Wiley-Interscience, 2006, p. 1285. ISBN: 9780471569527.
6	Fermi's Golden Rule Supplement: Slowly Applied Perturbation	Fermi's Golden Rule McHale, J. L. Chapter 4 in Molecular Spectroscopy. Upper Saddle River, NJ: Prentice Hall, 1999. Sakurai, J. J. Modern Quantum Mechanics. Reading, MA: Addison-Wesley, 1994. Cohen-Tannoudji, Claude, Bernard Diu, and Franck Laloë. Quantum Mechanics. 2nd ed. Vols. 1 and 2. Paris, France: Wiley-Interscience, 2006, p. 1299. ISBN: 9780471569527. Slowly Applied Perturbation Sakurai, J. J. Modern Quantum Mechanics. Reading, MA: Addison-Wesley, 1994.
7	Irreversible Relaxation	Merzbacher, E. Quantum Mechanics. 3rd ed. New York, NY: Wiley, 1998, p.510. Cohen-Tannoudji, Claude, Bernard Diu, and Franck Laloë. Quantum Mechanics. 2nd ed. Vols. 1 and 2. Paris, France: Wiley-Interscience, 2006, p. 1344. ISBN: 9780471569527.
8	Interaction of Light and Matter Supplement: Review of Electromagnetic Fields	Interaction of Light and Matter Baym, G. Lectures on Quantum Mechanics. London, UK: Benjamin/Cummings, 1969. Cohen-Tannoudji, Claude, Bernard Diu, and Franck Laloë. Quantum Mechanics. 2nd ed. Vols. 1 and 2. Paris, France: Wiley-Interscience, 2006. ISBN: 9780471569527. McHale, J. L. Molecular Spectroscopy. Upper Saddle River, NJ: Prentice Hall, 1999. Merzbacher, E. Quantum Mechanics. 3rd ed. New York, NY: Wiley, 1998. Sakurai, J. J. Modern Quantum Mechanics. Reading, MA: Addison-Wesley, 1994. Supplement: Review of Electromagnetic Fields Jackson, J. D. Chapter 6 and 7 in Classical Electrodynamics. New York, NY: Wiley. Chapter 6 describes vector and scalar potentials, and Chapter 7 talks about plane waves.
9	Time-Correlation Functions
10	Absorption Lineshape from Time-Correlation Functions
11	Electronic Spectroscopy: The Displaced Harmonic Oscillator Model
12	Lineshapes: Fluctuation and Relaxation
13	Förster Theory and Marcus Theory
14	Angular Momentum in Spherical Tensor Operations	Blum, K. Section 9.3.2.1 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.
15	3-j and 6-j Coefficients	Oxtoby, D. W. "Vibrational Population Relaxation in Liquids." Sections 3.5, 4.1, and 5.1 in Adv Chem Phys 47 (1981): 487-519.
16	Hund's Coupling Cases: Transformations of Basis Set	Oxtoby, D. W. "Vibrational Population Relaxation in Liquids." Sections 3.5, 4.1, and 5.1 in Adv Chem Phys 47 (1981): 487-519.
17	Bright State, Dark State, Pluck	Blum, K. Sections 9.1.1 and 9.4.4 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.
18	Frequency Domain Spectrum as FT of Autocorrelation Function	Blum, K. Section 9.1.3 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.
19	Dynamical Quantities: Visualization of Dynamics	Blum, K. Section 9.1.4 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.
20	Motion of Center of Wavepacket	Blum, K. Section 9.1.7 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.
21	Resonance Operators: Equation of Motion	Blum, K. Sections 9.1.8 and 9.4.9 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.
22	From Quantum Beats to Wavepackets	Blum, K. Sections 9.2.1-2 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.
23	Types of Wavepacket Supplement: Stationary Phase for Vibration-Electronic Spectra and Heller's Fractionation Index	Blum, K. Sections 9.3-4 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.
24	Complex Energy H^eff: Nondegenerate Perturbation Theory	Blum, K. Section 9.3 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.
25	Quasi-degenerate Perturbation Theory Strong and Weak Coupling Limits	Blum, K. Section 9.3 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.
26	Polyads, a, a⁺, N	Blum, K. Sections 9.4.4 - 9.4.9 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.
27	Dynamics in State Space and in Q, P Space	Blum, K. Sections 9.4.7, 9.4.8, and 9.4.11 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.
28	Chem. Phys. Lett. 320 (2000): 553 Visualizing IVR	Blum, K. Sections 9.4.9, and 9.4.10 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.
29	Normal-Local Modes: Classical, Morse, Minimal Model	Blum, K. Sections 9.4.12.1-4 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.
30	Normal-Local Modes: 6-Parameter Models	Blum, K. Section 9.4.12.5 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.
31	From Quantum Mechanical H^eff to Classical Mechanical H^eff	Blum, K. Section 9.4.13 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.
32	IVR, ISC, IC Extra Topics Diabatic-Adiabatic Electromagnetic Field-Dressed Potential Curves Coherent Control of Photofragment Branching Ratios	IVR, ISC, IC Blum, K. Sections 9.4.14-15 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981. Diabatic-Adiabatic Blum, K. Sections 3.31-3.34 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981. Electromagnetic Field-Dressed Potential Curves Blum, K. Section 3.35 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981. Coherent Control of Photofragment Branching Ratios Blum, K. Section 8.13 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.
	Final Exam

Texts

Recommended Texts

McHale, J. L. Molecular Spectroscopy. Upper Saddle River, NJ: Prentice Hall, 1998. ISBN: 9780132290630.
This text covers light matter interactions, correlation functions, and various molecular spectroscopies.

Mukamel, S. Principles of Nonlinear Optical Spectroscopy. New York, NY: Oxford University Press, 1999. ISBN: 9780195132915.
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

Baym, G. Lectures on Quantum Mechanics. Boulder, CO: Westview Press, 1974. ISBN: 9780805306675.

Ernst, R. R., G. Bodenhausen, and A. Wokaun. Principles of Nuclear Magnetic Resonance in One and Two Dimensions. New York, NY: Oxford, 1987. ISBN: 9780198556299.
Includes discussion of time-evolution in quantum systems, correlation functions, linear response.

McQuarrie, D. A. Statistical Mechanics. Sausalito, CA: University Science Books, 2000. ISBN: 9781891389153.
Useful for correlation function description of spectroscopy.

Merzbacher, E. Quantum Mechanics. 3rd ed. New York, NY: Wiley, 1997. ISBN: 9780471887027.
General physics text for quantum dynamics, perturbation theory, light matter interactions.

Sakurai, J. J. Modern Quantum Mechanics. Reading, MA: Addison-Wesley, 1994. ISBN: 9780201539295.

Other References

Electromagnetic Waves:

Jackson, J. D. Classical Electrodynamics. New York, NY: Wiley, 1998. ISBN: 9780471309321.
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:

Eyring, Henry, D. Henderson, and W. Jost. Physical Chemistry: An Advanced Treatise. New York, NY: Academic Press, 1971. ISBN: 9780122456015.

Berne, B. J., and R. Pecora. Dynamic Light Scattering. Malabar, FL: R. E. Krieger Publishing Co., 1990. ISBN: 9780894644238.

Gordon, R. G. "Correlation Functions for Molecular Motion." Adv Magn Reson 3, no.1 (1968).

Wang, C. H. Spectroscopy of Condensed Media: Dynamics of Molecular Interactions. Orlando, FL: Academic Press, 1985. ISBN: 9780127347806.

Zwanzig, R. "Time-Correlation Functions and Transport Coefficients in Statistical Mechanics." Annu Rev Phys Chem 16 (1965): 67-102.

Density Matrix and Relaxation:

Slichter, Charles P. Principles of Magnetic Resonance with Examples from Solid State Physics. New York, NY: Harper & Row, 1963.
Useful for discussion of density matrix and relaxation.

Blum, K. Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.
Includes description of density matrix and relaxation.

Förster and Marcus Theory:

Barbara, P. F., T. J. Meyer, and M. A. Ratner. "Contemporary issues in electron transfer research." J Phys Chem 100 (1996): 13148-13168.

Jortner, J. "Temperature Dependent Activation Energy for Electron Transfer between Biological Molecules." J Chem Phys 64 (1976): 4860.