Courses:

Introductory Quantum Mechanics II >> Content Detail



Study Materials



Readings

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There are no required books for the class, but you will need to read on the lecture topics in some of the following references. Specific readings are suggested in the table below, where the texts are referred to by number.



Strongly Recommended Texts


(1) Amazon logo 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.

(2) Amazon logo 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.



General References


These are excellent readings for the lecture topics, and problems are often drawn from them.

(3) Amazon logo Cohen-Tannoudji, Claude, Bernard Diu, and Franck Laloë. Quantum Mechanics. Vols. 1 and 2. 2nd ed. Paris: Wiley-Interscience, 1977. ISBN: 9780471569527.
Covers several topics in the first half of the class with a somewhat different approach.

(4) Amazon logo McHale, J. L. Molecular Spectroscopy. Upper Saddle River, NJ: Prentice Hall, 1999. ISBN: 9780132290630.
This text covers basic light matter interactions, correlation functions, and various molecular spectroscopies.

(5) Amazon logo Merzbacher, E. Quantum Mechanics. 3rd ed. New York, NY: John Wiley & Sons, 1998. ISBN: 9780471887027.
General physics text for quantum dynamics, perturbation theory, light-matter interactions.

(6) Amazon logo Mukamel, S. Principles of Nonlinear Optical Spectroscopy. New York, NY: Oxford University. Press, 1995. 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.

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

(8) Amazon logo Tannor, D. J. Introduction to Quantum Mechanics: A Time-Dependent Perspective. Sausilito, CA: University Science Books, 2007. 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.



Other references




Electromagnetic Waves


(9) Amazon logo 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.



Correlation Functions and Linear Response Theory


(10) Amazon logo Berne, B. J. Physical Chemistry: An Advanced Treatise. Vol. VIIIB. Edited by D. Henderson. New York, NY: Academic Press, 1971. ISBN: 9780122456589.

(11) Amazon logo Berne, B. J., and R. Pecora. Dynamic Light Scattering. Minneola, NY: Dover Publications, 2000. ISBN: 9780486411552.

(12) Gordon, R. G. Adv Magn Reson 3 (1968): 1.

(13) Amazon logo McQuarrie D. A. Statistical Mechanics. New York, NY: Harper and Row, 1976. ISBN: 9780060443665.
Useful for correlation function description of spectroscopy.

(14) Amazon logo Wang, C. H. Spectroscopy of Condensed Media: Dynamics of Molecular Interactions. Orlando: Academic Press, 1985. ISBN: 9780127347806.

(15) Zwanzig, R. Annual Review of Physical Chemistry 16 (1965): 67.



Suggested Readings



LEC #TOPICSREADINGS
1Introduction; Time-independent Hamiltonian(1) - Chapter 2; (2) - Chapter 1; (3) - pp. 405-420; (6) - Chapter 2
2Time-development of state amplitudes: Resonant driving of a two-level system(7); (3) - p. 1340
3Quantum dynamics: The time-evolution operator(5) - Chapter 14; (7) - Chapter 2; (6); (3) - p. 308
4The Schrodinger, Heisenberg, and interaction pictures(7) - Chapter 2; (6); (2) - Chapter 4; (1) - Section 2.7; (3) - p. 312
5Perturbation theory(7); (3) - p. 1285; (2) - Chapter 4
6Fermi's golden rule(4) - Chapter 4; (7); (3) - p. 1299
7Irreversible relaxation(5) - p. 510; (1) - Chapter 9; (3) - p. 1344
8Interaction of light and matter(2) - Chapter 5; (3); (4); (5); (7); (9)
9Electric dipole Hamiltonian and absorption of light

(2) - Chapter 5; (3); (4); (5); (7)

10Time-correlation functions(1) - Chapter 6; (4); (13) - Chapter 21; (10-12); (14); (15)
11Absorption lineshape from time-correlation functions(4); (12); (2); (13) - Chapter 21; (1) Section 6.2
12Electronic spectroscopy: The displaced harmonic oscillator model(6); (2) - Chapter 10; (1) - Section 12.5

 








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