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
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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 Note of Phys.474 and Phys.514: Method of Theoretical Physics

(*)S: Supplementary chapter.

Abstract:

The author has been teaching Phys.474 and Phys 514 (Method of Theoretical Physics) for almost 8 years since 1986 at the Department of Physics. In this course, the mathematics which is necessary for studying physics (classical mechanics, electricity and magnetism, thermodynamics, statistical mechanics, quantum mechanics, optics, circuits, and so on), is taught to both undergraduate and graduate students majoring in physics. In Fall 2010, I had an opportunity to teach Phys.474 and Phys.514. Before the class started, I realized that my lecture notes were not well organized. Main parts of my lecture notes were written before the SUNY system got a license for the use in Mathematica (around 2003). I spent a lot of time to revise my lecture notes. Many calculations are carried out using the Mathematica program.

My lecture notes are presented here. In the class, of course, the entire topics have not been covered because of such limited times. Although my lecture notes are far from completeness, it is our hope that these notse may be useful for physics students who want to understand the essence of physics from the side of mathematics. While preparing these lecture notes, I must confess that I really enjoyed studying physics using the Mathematica (topics such as the motion of symmetric top, the physics of van der Pol equation, the use of Green's function over many topics, the Stark effect, and so on).

In the course (Phys.474 and Phys.514), I use a textbook (Arfken, Mathematical Methods for Physicist). This book is excellent. Many problems of this text book were chosen for homeworks and exams. I also noticed that many excellent textbooks for the mathematical physics have been published in recent years, including the textbooks of Walter Appel, Susan Lee, James Kelly, Bruce Kusse and Erik Westwig, and so on, see the references for detail). These books are greatly helpful for my understanding mathematical physics.

In the Spring 2010, I taught Phys.468 (Computational Physic s). I taught students (undergraduate and graduate students) how to solve the problems in physics by using the Mathematica. The lecture notes of Phys.468 are presented in my home page. You may find a lot of Mathematica programs, although the programs are not always perfect.

REFERENCES

((Lecture notes of the author))

1. Phys.131 and Phys.132 (Introductory physics)
2. Phys.468 (Computational Physics)

((General physics))

1. R.P. Feynman, R.,B. Leighton, and M. Sands, The Feynman Lectures in Physics, 6^th edition (Addison Wesley, Reading Massachusetts, 1977).
2. R. Penrose, The Road to Reality: A Complete Guide to the Laws of the Universe (Jonathan Cape, London, 2004).

((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, 2^nd 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, 3^rd edition (Cambridge University Press, Cambridge, 2006).
6. Walter Appel, Mathematics for Physics and Physicists (Princeton University Press, Princeton, 2007).
7. Susan M. Lea; Mathematics for Physicists, Books/Cole, a division of Thomson Learning Inc., Belmont, CA, 2004).
8. Ted Clay Bradbury, Mathematical Methods with Applications to Problems in the Physical Sciences (John Wiley and Sons, New York, 1984).

((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, 2^nd 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, 3^rd edition (McGraw-Hill, New York, 1968).
3. E. Merzbacher, Quantum Mechanics, 3^rd 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, 2^nd edition (Kluwer Academic/Plenum Publishers, New York, 1994).
9. R.P. Feynman 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 3^rd 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).
13. S. Tomonaga, Angular momentum and Spin (Misuzu Syobo, Tokyo, 1989) [in Japanese].
14. S. Gaiorowicz, Quantum Physics, 3rd edition (John-Wiley & Sons, New York, 2003).
15. J. Schwinger, Quantum Mechanics , edited by B.-G. Englert (Springer, Berlin, 2001).

((Classical mechanics))

1. H. Goldstein, C.P. Poole, and J.L.Safko, Classical Mechanics, 3^rd 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).
10. Jerry B. Marion, Classical Dynamics of Particles and Systems, 2nd edition (Academic Press, New York, 1970).
11. J.R. Taylor, Classical Mechanics (University Science Book, 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).

((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, 3^rd 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 3^rd 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).

((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).

((Laser))

1. R. Loudon, The Quantum Theory of Light, 2nd-edition (Clarendon Press, Oxford, 1983).
2. M. Sargent III, M.O. Scully, and W.E. Lamb, Jr., Laser Physics (Addison-Wesley, New York, 1974).

((Lecture Notes))

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

Revised: September 15, 2024