Introductory Quantum Mechanics II

Nitzan, Abraham. Chemical Dynamics in Condensed Phases . New York, NY: Oxford University Press, 2006. ISBN: 9780198529798. This is a wonderful new book that thoroughly covers all topics that you might care to learn about for time-dependent quantum mechanics relevant to the condensed phase. We will follow the treatment of several topics in this book.

Schatz, George C., and Mark A. Ratner. Quantum Mechanics in Chemistry . Mineola, NY: Dover Publications, 2002. ISBN: 9780486420035. 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.

[Nitzan] = Nitzan, Abraham. Chemical Dynamics in Condensed Phases . New York, NY: Oxford University Press, 2006. ISBN: 9780198529798. This is a wonderful new book that thoroughly covers all topics that you might care to learn about for time-dependent quantum mechanics relevant to the condensed phase. We will follow the treatment of several topics in this book.

[Schatz] = Schatz, George C., and Mark A. Ratner. Quantum Mechanics in Chemistry . Mineola, NY: Dover Publications, 2002. ISBN: 9780486420035. 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.

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

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

[Mukamel] = 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.

[Sakurai] = Sakurai, J. J. Modern Quantum Mechanics . Reading, MA: Addison-Wesley, 1993. ISBN: 9780201539295.

[Tannor] = Tannor, D. J. Introduction to Quantum Mechanics: A Time-Dependent Perspective . Sausilito, CA: University Science Books, 2006. ISBN: 9781891389238. This appears to be a wonderful new quantum textbook at the level of this class. It was just published, so I haven’t had time to digest it yet, but it clearly will be an excellent reference.

[Jackson] = Jackson, J. D. Classical Electrodynamics . New York, NY: John Wiley & Sons, 1998. ISBN: 9780471309321. Useful for light-matter interactions. Chapter 6 describes vector and scalar potentials and chapter 7 talks about plane waves.

[Berne] = Berne, B. J. Physical Chemistry: An Advanced Treatise. Vol. VIIIB . Edited by D. Henderson. New York, NY: Academic Press, 1972. ISBN: 9780122456589.

[Zwanzig] = Zwanzig, R. Annual Review of Physical Chemistry 16 (1965): 67.

[Gordon] = Gordon, R. G. Adv Magn Reson 3 (1968): 1.

[McQuarrie] = McQuarrie D. A. Statistical Mechanics . New York, NY: Harper and Row, 1976. ISBN: 9780060443665. Useful for correlation function description of spectroscopy.

[Wang] = Wang, C. H. Spectroscopy of Condensed Media: Dynamics of Molecular Interactions . Burlington, MA: Academic Press, 1985. ISBN: 9780127347806.

[Blum] = Blum, K. Density Matrix Theory and Applications . New York, NY: Academic Press Inc, 1996. ISBN: 9780306453410.

[Slichter] = Slichter, C. P. Principles of Magnetic Resonance with Examples from Solid State Physics . New York, NY: Harper and Row, 1963.

LEC #: 1 · TOPICS: Time-independent Hamiltonian · READINGS: [Nitzen] Chapter 2

LEC #: 3 · TOPICS: Irreversible relaxation · READINGS: [Nitzen] Chapter 9

[Schatz] Chapter 5; [Nitzen] Chapter 3; [McHale]; [Merzbacher]; [Sakurai]

LEC #: 5 · TOPICS: Time correlation functions · READINGS: [Nitzen] Chapter 6; [McHale]; [McQuarrie] Chapter 21; [Berne]; [Zwanzig]; [Gordon]; [Wang]; [Blum]

LEC #: 6 · TOPICS: Absorption lineshapes · READINGS: [Schatz] Chapter 10; [Nitzen] Section 12.5

LEC #: 9 · TOPICS: Fluctuations: Gaussian stochastic model · READINGS: [Nitzen] Chapters 7 and 12; [Mukamel]; [Blum]

LEC #: 11 · TOPICS: Vibrational relaxation · READINGS: [Nitzen] Chapters 9 and 13

LEC #: 12 · TOPICS: Density matrix · READINGS: [Slichter]

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.

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.

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.

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.

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.

Fermi’s Golden Rule

McHale, J. L. Chapter 4 in Molecular Spectroscopy . Upper Saddle River, NJ: Prentice Hall, 1999.

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

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.

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.

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.

Lec #: 14 · TOPICS: Angular Momentum in Spherical Tensor Operations · READINGS: Blum, K. Section 9.3.2.1 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.

Lec #: 15 · TOPICS: 3-j and 6-j Coefficients · READINGS: Oxtoby, D. W. “Vibrational Population Relaxation in Liquids.” Sections 3.5, 4.1, and 5.1 in Adv Chem Phys 47 (1981): 487-519.

Lec #: 16 · TOPICS: Hund’s Coupling Cases: Transformations of Basis Set · READINGS: Oxtoby, D. W. “Vibrational Population Relaxation in Liquids.” Sections 3.5, 4.1, and 5.1 in Adv Chem Phys 47 (1981): 487-519.

Lec #: 17 · TOPICS: Bright State, Dark State, Pluck · READINGS: Blum, K. Sections 9.1.1 and 9.4.4 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.

Lec #: 18 · TOPICS: Frequency Domain Spectrum as FT of Autocorrelation Function · READINGS: Blum, K. Section 9.1.3 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.

Lec #: 19 · TOPICS: Dynamical Quantities: Visualization of Dynamics · READINGS: Blum, K. Section 9.1.4 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.

Lec #: 20 · TOPICS: Motion of Center of Wavepacket · READINGS: Blum, K. Section 9.1.7 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.

Lec #: 21 · TOPICS: Resonance Operators: Equation of Motion · READINGS: Blum, K. Sections 9.1.8 and 9.4.9 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.

Lec #: 22 · TOPICS: From Quantum Beats to Wavepackets · READINGS: Blum, K. Sections 9.2.1-2 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.

Blum, K. Sections 9.3-4 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.

Lec #: 24 · TOPICS: Complex Energy H eff : Nondegenerate Perturbation Theory · READINGS: Blum, K. Section 9.3 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.

Blum, K. Section 9.3 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.

Lec #: 26 · TOPICS: Polyads, a, a + , N · READINGS: Blum, K. Sections 9.4.4 - 9.4.9 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.

Lec #: 27 · TOPICS: Dynamics in State Space and in Q, P Space · READINGS: 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.

Chem. Phys. Lett. 320 (2000): 553

Blum, K. Sections 9.4.9, and 9.4.10 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.

Lec #: 29 · TOPICS: Normal-Local Modes: Classical, Morse, Minimal Model · READINGS: Blum, K. Sections 9.4.12.1-4 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.

Lec #: 30 · TOPICS: Normal-Local Modes: 6-Parameter Models · READINGS: Blum, K. Section 9.4.12.5 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.

Lec #: 31 · TOPICS: From Quantum Mechanical H eff to Classical Mechanical H eff · READINGS: Blum, K. Section 9.4.13 in Density Matrix Theory and Applications. New York, NY: Plenum Press, 1981.

Extra Topics

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.

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.

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.

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.

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.

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.

Cohen-Tannoudji, Claude, Bernard Diu, and Franck Laloë. Quantum Mechanics. 2nd ed. Vol. 1 and 2. Paris, France: Wiley-Interscience, 2006. ISBN: 9780471569527. Covers several topics in the class with a different approach.

Lefebvre-Brion, H., and R. Field. “Dynamics.” Chapter 9 in Spectra and Dynamics of Diatomic Molecules. 2nd ed. Burlington, MA: Academic Press, 2004. ISBN: 9780124414563.