| 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 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. |
| 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 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
|
| Final Exam |
Table of Contents
Study Materials
Readings
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Recommended texts, general references, and other references are listed below the table.
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.
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.