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6.728

Applied Quantum and Statistical Physics

Graduate · Historical course

Fall 2006

6.728 is offered under the department's "Devices, Circuits, and Systems" concentration. The course covers concepts in elementary quantum mechanics and statistical physics, introduces applied quantum physics, and emphasizes an experimental basis for quantum mechanics. Concepts covered include: Schrodinger's equation applied to the free particle, tunneling, the harmonic oscillator, and hydrogen atom, variational methods, Fermi-Dirac, Bose-Einstein, and Boltzmann distribution functions, and simple models for metals, semiconductors, and devices such as electron microscopes, scanning tunneling microscope, thermonic emitters, atomic force microscope, and others.

Readings

  • Hagelstein, Peter L., Stephen D. Senturia, and Terry P. Orlando. Introduction to Applied Quantum and Statistical Physics . New York, NY: Wiley, 2004. ISBN: 0471202762.
    Listed reading
  • All course readings are taken from the textbook:
    Listed reading
  • SES #: L1 · TOPICS: Introduction: Classical and Quantum Mechanics · READINGS: Chapter 1
    Reading assignment
  • SES #: L2 · TOPICS: Probability Amplitudes and Development of Quanta · READINGS: Chapters 2 and 3
    Reading assignment
  • SES #: L4 · TOPICS: Operators and Ehrenfest’s Theorem · READINGS: Chapter 5
    Reading assignment
  • SES #: R2 · TOPICS: Examples of Operators and Ehrenfest’s Theorem · READINGS: Chapter 5
    Reading assignment
  • SES #: L6 · TOPICS: Finite Well and 1D Box · READINGS: Chapters 7 and 8
    Reading assignment
  • Chapters 7 and 8
    Listed reading
  • SES #: L8 · TOPICS: Simple Harmonic Oscillator · READINGS: Chapters 9 and 10
    Reading assignment
  • SES #: R3 · TOPICS: Tunneling Examples, STM, SHO · READINGS: Chapters 7 and 8
    Reading assignment
  • SES #: L10 · TOPICS: LC Circuit & SHO Wavepackets · READINGS: Chapters 11 and 12
    Reading assignment
  • SES #: L11 · TOPICS: WKB Approximation, Variational Method · READINGS: Chapters 13, 14, and 15
    Reading assignment
  • SES #: L12 · TOPICS: Finite Basis Set Approximation · READINGS: Chapter 16
    Reading assignment
  • SES #: L13 · TOPICS: Two-level System (dc drive) · READINGS: Chapter 17
    Reading assignment
  • SES #: L14 · TOPICS: Two-level System (cont.) · READINGS: Chapter 17
    Reading assignment
  • SES #: R4 · TOPICS: Examples of Two-level Systems · READINGS: Chapters 17-19
    Reading assignment
  • SES #: L16 · TOPICS: Coupled Systems · READINGS: Chapter 19
    Reading assignment
  • SES #: R5 · TOPICS: Two-level Examples and Coupled System · READINGS: Chapter 20
    Reading assignment
  • SES #: L18 · TOPICS: 2D and 3D; Density of States · READINGS: Chapter 23
    Reading assignment
  • SES #: L19 · TOPICS: Quantization of the E and M Fields · READINGS: Chapters 21 and 22
    Reading assignment
  • SES #: L20 · TOPICS: Fermi’s Golden Rule · READINGS: Chapter 24
    Reading assignment
  • SES #: L21 · TOPICS: Statistical Physics · READINGS: Chapter 25
    Reading assignment
  • SES #: R7 · TOPICS: Examples of Statistical Physics · READINGS: Chapter 26
    Reading assignment
  • SES #: L23 · TOPICS: Metals and Semiconductors I · READINGS: Chapter 27
    Reading assignment
  • SES #: L24 · TOPICS: Metals and Semiconductors II · READINGS: Chapter 27
    Reading assignment
  • SES #: L25 · TOPICS: H-Atom 1 · READINGS: Chapter 28
    Reading assignment
  • SES #: L26 · TOPICS: H-Atom II · READINGS: Chapter 29
    Reading assignment
  • SES #: R10 · TOPICS: H-Atom Examples · READINGS: Chapter 30
    Reading assignment
  • Polkinghorne, J. Quantum Theory: A Very Short Introduction . New York, NY: Oxford University Press, 2002. ISBN: 0192802526.
    Listed reading
  • Liboff, R. L. Introductory Quantum Mechanics . 3rd ed. Reading, MA: Addison-Wesley Longman, 1998. ISBN: 0201878798.
    Listed reading
  • Greenstein, George, and Arthur G. Zajonc. The Quantum Challenge: Modern Research on the Foundations of Quantum Mechanics . 2nd ed. Sudbury, MA: Jones and Bartlett Publishers, 2006. ISBN: 076372470X.
    Listed reading
  • Kroemer, Herbert. Quantum Mechanics . Englewood Cliffs, NJ: Prentice Hall, 1994. ISBN: 0137470983.
    Listed reading
  • Gasiorowicz, Stephen. Quantum Physics . 2nd ed. New York, NY: John Wiley, 1996. ISBN: 0471857378.
    Listed reading
  • Reif, F. Fundamentals of Statistical and Thermal Physics . New York, NY: McGraw Hill, 1965.
    Listed reading
  • Griffiths, David J. Introduction to Quantum Mechanics . Englewood Cliffs, NJ: Prentice Hall, 1995. ISBN: 0131244051.
    Listed reading
  • Morrison, Michael A. Understanding Quantum Physics . Englewood Cliffs, NJ: Prentice Hall, 1990. ISBN: 0137479085.
    Listed reading
  • Morrison, Michael A., Thomas L. Estle, and Neal F. Lane. Understanding More Quantum Physics . Englewood Cliffs, NJ: Prentice Hall, 1991. ISBN: 0139283005.
    Listed reading
  • Harrison, Walter A. Applied Quantum Mechanics . River Edge, NJ: World Scientific, 2000. ISBN: 9810243944.
    Listed reading
  • Eisberg, Robert, and Robert Resnick. Quantum Physics . 2nd ed. New York, NY: John Wiley, 1985. ISBN: 047187373X.
    Listed reading
  • Kittel, Charles, and Herbert Kroemer. Thermal Physics . 2nd ed. San Francisco, CA: W. H. Freeman, 1980. ISBN: 0716710889.
    Listed reading
  • Mandl, Franz. Statistical Physics . 2nd ed. New York, NY: John Wiley, 1988. ISBN: 0471915335.
    Listed reading
  • James, J. F. A Student’s Guide to Fourier Transforms: With Applications in Physics and Engineering . New York, NY: Cambridge University Press, 1995. ISBN: 0521468299.
    Listed reading
  • Brigham, E. O. The Fast Fourier Transform . Englewood Cliffs, NJ: Prentice Hall, 1974. ISBN: 013307496X.
    Listed reading
Sources