Prof. Masatsugu Sei Suzuki
Department of Physics, SUNY-Binghamton


This is a Prof. Masatsugu Suzuki's personal web page, where his lecture notes are posted.

Prof. Suzuki's official page:
Research Information
Publication List
Advisors & Collaborators

Lecture Notes:
General Physics
Computational Physics-about
Computational Physics-contents
Method of Theoretical Physics
Modern Physics
Solid State Physics
Quantum Mechanics - Graduate course
Quantum Mechanics I
Quantum Mechanics II
Senior Laboratory
Statistical Thermodynamics

 

Lecture Notes of Computational Physics (Mathematica)  

The Computational Physics 468 was taught at the State University of New York at Binghamton during the Spring Semester, 2010. Both undergraduate students and graduate students attended this class and learn how to solve various kinds of problems of physics and mathematics by using a Mathematica 7.0, and understand the essence of physics including classical mechanics, electricity and magnetism, solid state physics, special relativity, statistical mechanics, and so on.

See some of updated Mathematica notebooks in Itsuko Suzuki's Lecture Notes.

REFERENCES

((Mathematica))

  1. E. Don, Schaum’s outline of Theory and Problems of Mathematica (McGraw-Hill, New York, 2001).
  2. R.J. Zimmerman and F.I. Olness, Mathematica for Physics, 2nd edition (Addison Wesley, New York, 2002).
  3. M. Trott, The Mathematica Guide Book vol. 1 (Programming), vol.2 (Graphics), vol.3 (Numerics), and vol.4 (Symbolics) (Springer, Berlin, 2006).
  4. N. Boccara, Essentials of Mathematica With Applications to Mathematics and Physics (Springer, 2007).
  5. P.K. Kythe, P. Puri, and M.R. Schäferkotter, Partial Differential Equations and Mathematica (CRC Press, Boca Raton,1997).

((Quantum mechanics))

  1. L.D. Landau and I.M. Lifshitz, Quantum Mechanics (Pergamon Press, Oxford, 1977).

  2. L. Schiff, Quantum Mechanics, 3rd edition (McGraw-Hill, New York, 1968).

  3. E. Merzbacher, Quantum Mechanics, 3rd edition (John Wiley & Sons, New York, 1998).
  4. J.J. Sakurai, Modern Quantum Mechanics, Revised Edition (Addison-Wesley, Reading Massachusetts, 1994).
  5. C. Cohen-Tannoudji and B. Diu, and F. Laloe, Quantum Mechanics, vol.1 and vol. 2 (John Wiley & Sons, New York, 1977).
  6. J.S. Townsend, A Modern Approach to Quantum Mechanics (McGraw-Hill, Inc., New York, 1992).
  7. D.J. Griffiths, Introduction to Quantum Mechanics (Prentice Hall, Englewood Cliffs, New Jersey, 1995).
  8. R. Shankar, Principles of Quantum Mechanics, 2nd edition (Kluwer Academic/Plenum Publishers, New York, 1994).
  9. R.P. Feyman and A.R. Hibbs, , Quantum Mechanics and Path Integrals (McGraw-Hill, New York, 1965).
  10. S. Brandts and H.D. Dahmen, The Picture Book of Quantum Mechanics 3rd edition (Springer-Verlag, New York, 2001).
  11. S. Brandts, H.D. Dahmen, and T. Stroh, Interactive Quantum Mechanics (Springer-Verlag, New York, 2003).
  12. Y. Peleg, R. Pnini, and E. Zaarur, Schaum’s Outline of Theory and Problems of Quantum Mechanics (McGraw-Hill, New York, 1998).

((Classical mechanics))

  1. H. Goldstein, C.P. Poole, and J.L.Safko, Classical Mechanics, 3rd edition (Addison Wesley, San Francisco, 2002).
  2. J.M. Finn, Classical Mechanics (Infinity Science Press LLC, Hingham, Massachusetts, 2008).
  3. P. Hamill, Intermediate Dynamics (Jones and Bartlett Publisher Sudbury, Massachusetts, 2010).
  4. J.E. Hasbun, Classical Mechanics with Matlab Applications (Jones and Bartlett Publishers, Sundbury Massachusetts, 2009).
  5. C. Kittel, Mechanics, Berkeley Physics Courses vol.1 second edition (McGraw-Hill, New York, 1973).
  6. V. Barger and M. Olsson, Classical Mechanics: A Modern Perspective, 2nd edition (McGraw-Hill, New York, 1995).
  7. A.B. Pippard, The physics of vibration, vol.1 (Cambridge University Press, Cambridge, 1978).
  8. A.B. Pippard, The physics of vibration, vol.2 (Cambridge University Press, Cambridge, 1983).
  9. G.L. Baker and J.A. Blackburn, The Pendulum A case study in physics (Oxford University Press, Oxford, 2005).

((Electricity and magnetism))

  1. J.D. Jackson, Classical Electrodynamics (John Wiley & Sons, Inc., New York, 1999).
  2. E.M. Purcell, Electricity and Magnetism, Berkeley Physics Courses vol.2 second edition (McGraw-Hill, New York, 1985).
  3. J. Schwinger, L.L. DeRaad, Jr, K.A. Milton, and W.-Y. Tsai, Classical Electrodynamics (Perseus Book, Reading, Massachussetts, 1998).
  4. H.C. Ohanian, Classical Electrodynamics (Infinity Science Press LLC, Hingham, Massachusetts, 2007).
  5. C.A. Brau, Modern Problems in Classical Electrodynamics (Oxford University Press, New York, 2004).
  6. D.J. Griffiths, Introduction to Electrodynamics (Prentice Hall, Upper Saddle River, New Jersey, 1999).
  7. V.D. Barger and M.G. Olsson, Classical Electricity and Magnetism; A Contemporary Perspective (Allyn Bacon, Inc. Boston, 1987)
  8. H.A. Atwater, Introduction to Microwave Theory (McGraw-Hill, New York, 1962).

((Mathematical physics))

  1. G.B. Arfken and H.J. Weber, Mathematical Methods for Physicists (Elsevier, New York, 2005).
  2. B.R. Kusse and E.A. Westwig, Mathematical Physics; Applied Mathematics for Scientists and Engineers, 2nd edition (Wiley-VCH Verlag GmbH & Co. KGaA, Winheim, 2006).
  3. J.J. Kelly, Graduate Mathematical Physics with Mathematica Supplement (Wiley-VCH Verlag GmbH & Co. KGaA, Winheim, 2006).
  4. F.Y. Wang, Physics with Maple (Wiley-VCH Verlag GmbH & Co. KGaA, Winheim, 2006).
  5. K.F. Riley, M.P. Hobson, and S.J. Bence, Mathematical Methods for Physics and Engineering, 3rd edition (Cambridge University Press, Cambridge, 2006).

((Solid state physics))

  1. N.W. Ashcroft and N.D. Mermin, Solid State Physics (Holt, Rinedhart & Winston, New York, 1976).
  2. C. Kittel, Introduction to Solid State Physics, 7-th edition (John Wiley & Sons, New York, 1996).
  3. S.L. Altman, Band Theory of Metals (Pergamon Press, New York, 1970).
  4. R.M. White, Quantum Theory of magnetism, 3rd edition (Springer-Verlag, Berlin, 2007).
  5. C.P. Slichter, Principles of Magnetic Resonance (Harper & Row, New York, 1963).

((Statistical physics and thermodynamics))

  1. L.D. Landau and E.M. Lifshitz, Statistical Physics 3rd edition, revised and enlarged, Part 1 (Pergamon Press, New York, 1980).
  2. F. Reif, Fundamentals of Statistical and Thermal Physics (McGraw-Hill New York. 1965).
  3. C. Kittel and H. Kroemer, Thermal Physics, second edition (W.H. Freeman and Company, New York, 1980).

((Superconductivity))

  1. P.G. de Gennes, Superconductivity of Metals and Alloys (W.A. Benjamin, New York, 1966).
  2. M. Tinkham, Introduction to Superconductivity, Reprint edition (Robert E. Krieger Publishing Company, INC, Malabar, Florida, 1980).

  3. J.B. Ketterson and S.N. Song, Superconductivity (Cambridge University Press, 1999).

((Introductory physics))

  1. R.P. Feynman, R.,B. Leighton, and M. Sands, The Feynman Lectures in Physics, 6th edition (Addison Wesley, Reading Massachusetts, 1977).

((Special relativity))

  1. A.P. French, Special relativity (W.W. Norton & Company INC., New York 1968).
  2. C. Møller, The Theory of Relativity, 2nd edition (Clarendon Press, Oxford, 1972).
  3. L.D. Landau and E.M. Lifshitz, The Classical Theory of Fields, Fourth Revised English Edition (Pergamon Press, New York, 1975).
  4. W. Rindler, Introduction to Special Relativity (Clarendon Press, Oxford, 1982).

((Optics))

  1. E. Hecht and A. Zajac, Optics (Addison Wesley, Reading, Massachusetts, 1979).

((Lecture Notes))

M. Suzuki and I.S. Suzuki (http://bingweb.binghamton.edu/~suzuki/research.html )

  1. Oscillations and waves
  2. Coupled pendulum
  3. Physics of simple pendulum, case study of nonlinear dynamics
  4. x-ray diffraction
  5. Lattice waves
  6. Free electron Fermi gas model, specific heat and Pauli paramagnetism
  7. Bloch theorem and energy band
  8. de Haas-van Alphen effect
  9. Ginzburg-Landau theory for superconductivity.
  10. Mean field theory for ferromagnetism.
  11. Spin Hamiltonian of transition metal ions in crystal field.
  12. Superexchange interaction.
  13. Josephson Junction and DC SQUID.
  14. Fraunhofer diffraction and double-slit experiment.
  15. Measurement of mutual inductance from the frequency dependence of impedance of AC coupled circuit using dual-phase lock-in amplifier.
  16. Lecture Notes in Introductory Physics Course (Phys.131 and 132).

((Master Thesis))

Lyubov Anisimova, Thesis of Master Degree in Physics, State University of New York at Binghamton (2009). Nonlinear susceptibility study in superconductors based on Bean and Kim-Anderson models.

CONCLUSION

One can easily find so many fancy Mathematica programs through the Internets and many Mathematica books. Unfortunately, the author (physicist, but not an expert of Mathematica) has some difficulty in understanding such sophisticated techniques used in the Mathematica programs.

In the above lecture notes, we do not use any sophisticated techniques to make programs. So many students and researchers who are not so familiar with the use of Mathematica, can easily understand the essence of physics; how to solve the physics problems (by visualizing). I think that there are mistakes and typo in this lecture note. They will be revised in near future.

Finally, I would like to thank my students in the class of Phys.468 (Spring 2010) for collaboration with me on the making many kinds of Mathematica programs.

 

Revised: October 5, 2017