Readings

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

Lec #TOPICSREADINGS
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.

Amazon logo 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.

2Quantum 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.

Amazon logo 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.

3Schrödinger/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.

Amazon logo 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.

4Time-development of State Amplitudes/Resonant Driving of Two-Level System

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

Amazon logo 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.

5Perturbation Theory

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

Amazon logo 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.

6Fermi'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.

Amazon logo 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.

7Irreversible Relaxation

Merzbacher, E. Quantum Mechanics. 3rd ed. New York, NY: Wiley, 1998, p.510.

Amazon logo 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.

Amazon logo 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.

9Time-Correlation Functions 
10Absorption Lineshape from Time-Correlation Functions 
11Electronic Spectroscopy: The Displaced Harmonic Oscillator Model 
12Lineshapes: Fluctuation and Relaxation 
13Förster Theory and Marcus Theory 
14Angular Momentum in Spherical Tensor OperationsBlum, K. Section 9.3.2.1 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.
153-j and 6-j CoefficientsOxtoby, D. W. "Vibrational Population Relaxation in Liquids." Sections 3.5, 4.1, and 5.1 in Adv Chem Phys 47 (1981): 487-519.
16Hund's Coupling Cases: Transformations of Basis SetOxtoby, D. W. "Vibrational Population Relaxation in Liquids." Sections 3.5, 4.1, and 5.1 in Adv Chem Phys 47 (1981): 487-519.
17Bright State, Dark State, PluckBlum, K. Sections 9.1.1 and 9.4.4 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.
18Frequency Domain Spectrum as FT of Autocorrelation FunctionBlum, K. Section 9.1.3 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.
19Dynamical Quantities: Visualization of Dynamics
 
Blum, K. Section 9.1.4 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.
20Motion of Center of WavepacketBlum, K. Section 9.1.7 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.
21Resonance Operators: Equation of MotionBlum, K. Sections 9.1.8 and 9.4.9 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.
22From Quantum Beats to WavepacketsBlum, 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.
24Complex Energy Heff: 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.
26Polyads, a, a+, N
 
Blum, K. Sections 9.4.4 - 9.4.9 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.
27Dynamics in State Space and in Q, P SpaceBlum, 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.
29Normal-Local Modes: Classical, Morse, Minimal ModelBlum, K. Sections 9.4.12.1-4 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.
30Normal-Local Modes: 6-Parameter ModelsBlum, K. Section 9.4.12.5 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.
31From Quantum Mechanical Heff to Classical Mechanical Heff
 
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

Amazon logo 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.

Amazon logo 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

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

Amazon logo 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.

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

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

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

Other References

Electromagnetic Waves:

Amazon logo 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:

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

Amazon logo 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).

Amazon logo 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.