This is a Prof. Masatsugu Suzuki's personal web page,
where his lecture notes are posted.
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Suzuki's official page:
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Lecture Notes:
General Physics
Computational Physicsabout
Computational Physicscontents
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))
 Phys.131 and Phys.132 (Introductory physics)
 Phys.468 (Computational Physics)
((General physics))
 R.P. Feynman, R.,B. Leighton, and M. Sands, The Feynman
Lectures in Physics, 6^{th} edition (Addison Wesley, Reading
Massachusetts, 1977).
 R. Penrose, The Road to Reality: A Complete Guide to the Laws
of the Universe (Jonathan Cape, London, 2004).
((Mathematical physics))
 G.B. Arfken and H.J. Weber, Mathematical Methods for
Physicists (Elsevier, New York, 2005).
 B.R. Kusse and E.A. Westwig, Mathematical Physics; Applied Mathematics
for Scientists and Engineers, 2^{nd} edition (WileyVCH Verlag GmbH & Co. KGaA, Winheim, 2006).
 J.J. Kelly, Graduate Mathematical Physics with Mathematica
Supplement (WileyVCH Verlag GmbH & Co. KGaA, Winheim, 2006).
 F.Y. Wang, Physics with Maple (WileyVCH Verlag GmbH &
Co. KGaA, Winheim, 2006).
 K.F. Riley, M.P. Hobson, and S.J. Bence, Mathematical
Methods for Physics and Engineering, 3^{rd} edition (Cambridge
University Press, Cambridge, 2006).
 Walter Appel, Mathematics for Physics and Physicists
(Princeton University Press, Princeton, 2007).
 Susan M. Lea; Mathematics for Physicists, Books/Cole, a
division of Thomson Learning Inc., Belmont, CA, 2004).
 Ted Clay Bradbury, Mathematical Methods with Applications to
Problems in the Physical Sciences (John Wiley and Sons, New York,
1984).
((Mathematica))
 E. Don, Schaum’s outline of Theory and Problems of
Mathematica (McGrawHill, New York, 2001).
 R.J. Zimmerman and F.I. Olness, Mathematica for Physics,
2^{nd} edition (Addison Wesley, New York, 2002).
 M. Trott, The Mathematica Guide Book vol. 1
(Programming), vol.2 (Graphics), vol.3 (Numerics), and vol.4 (Symbolics)
(Springer, Berlin, 2006).
 N. Boccara, Essentials of Mathematica With Applications to
Mathematics and Physics (Springer, 2007).
 P.K. Kythe, P. Puri, and M.R. Schäferkotter, Partial
Differential Equations and Mathematica (CRC Press, Boca Raton,1997).
((Quantum mechanics))
 L.D. Landau and I.M. Lifshitz, Quantum Mechanics (Pergamon
Press, Oxford, 1977).
 L. Schiff, Quantum Mechanics, 3^{rd} edition
(McGrawHill, New York, 1968).
 E. Merzbacher, Quantum Mechanics, 3^{rd} edition
(John Wiley & Sons, New York, 1998).
 J.J. Sakurai, Modern Quantum Mechanics, Revised Edition
(AddisonWesley, Reading Massachusetts, 1994).
 C. CohenTannoudji and B. Diu, and F. Laloe, Quantum
Mechanics, vol.1 and vol. 2 (John Wiley & Sons, New York, 1977).
 J.S. Townsend, A Modern Approach to Quantum Mechanics
(McGrawHill, Inc., New York, 1992).
 D.J. Griffiths, Introduction to Quantum Mechanics
(Prentice Hall, Englewood Cliffs, New Jersey, 1995).
 R. Shankar, Principles of Quantum Mechanics, 2^{nd}
edition (Kluwer Academic/Plenum Publishers, New York, 1994).
 R.P. Feynman and A.R. Hibbs, , Quantum Mechanics and Path
Integrals (McGrawHill, New York, 1965).
 S. Brandts and H.D. Dahmen, The Picture Book of Quantum
Mechanics 3^{rd} edition (SpringerVerlag, New York, 2001).
 S. Brandts, H.D. Dahmen, and T. Stroh, Interactive Quantum
Mechanics (SpringerVerlag, New York, 2003).
 Y. Peleg, R. Pnini, and E. Zaarur, Schaum’s Outline of Theory
and Problems of Quantum Mechanics (McGrawHill, New York, 1998).
 S. Tomonaga, Angular momentum and Spin (Misuzu Syobo,
Tokyo, 1989) [in Japanese].
 S. Gaiorowicz, Quantum Physics, 3rd edition (JohnWiley &
Sons, New York, 2003).
 J. Schwinger, Quantum Mechanics , edited by B.G. Englert
(Springer, Berlin, 2001).
((Classical mechanics))
 H. Goldstein, C.P. Poole, and J.L.Safko, Classical Mechanics,
3^{rd} edition (Addison Wesley, San Francisco, 2002).
 J.M. Finn, Classical Mechanics (Infinity Science Press
LLC, Hingham, Massachusetts, 2008).
 P. Hamill, Intermediate Dynamics (Jones and Bartlett
Publisher Sudbury, Massachusetts, 2010).
 J.E. Hasbun, Classical Mechanics with Matlab Applications
(Jones and Bartlett Publishers, Sundbury Massachusetts, 2009).
 C. Kittel, Mechanics, Berkeley Physics Courses vol.1
second edition (McGrawHill, New York, 1973).
 V. Barger and M. Olsson, Classical Mechanics: A Modern
Perspective, 2nd edition (McGrawHill, New York, 1995).
 A.B. Pippard, The physics of vibration, vol.1 (Cambridge
University Press, Cambridge, 1978).
 A.B. Pippard, The physics of vibration, vol.2 (Cambridge
University Press, Cambridge, 1983).
 G.L. Baker and J.A. Blackburn, The Pendulum A case study in
physics (Oxford University Press, Oxford, 2005).
 Jerry B. Marion, Classical Dynamics of Particles and Systems,
2nd edition (Academic Press, New York, 1970).
 J.R. Taylor, Classical Mechanics (University Science
Book, 2005).
((Electricity and magnetism))
 J.D. Jackson, Classical Electrodynamics (John Wiley &
Sons, Inc., New York, 1999).
 E.M. Purcell, Electricity and Magnetism, Berkeley
Physics Courses vol.2 second edition (McGrawHill, New York, 1985).
 J. Schwinger, L.L. DeRaad, Jr, K.A. Milton, and W.Y. Tsai,
Classical Electrodynamics (Perseus Book, Reading, Massachussetts,
1998).
 H.C. Ohanian, Classical Electrodynamics (Infinity
Science Press LLC, Hingham, Massachusetts, 2007).
 C.A. Brau, Modern Problems in Classical Electrodynamics
(Oxford University Press, New York, 2004).
 D.J. Griffiths, Introduction to Electrodynamics
(Prentice Hall, Upper Saddle River, New Jersey, 1999).
 V.D. Barger and M.G. Olsson, Classical Electricity and
Magnetism; A Contemporary Perspective (Allyn Bacon, Inc. Boston, 1987)
 H.A. Atwater, Introduction to Microwave Theory
(McGrawHill, New York, 1962).
((Solid state physics))
 N.W. Ashcroft and N.D. Mermin, Solid State Physics
(Holt, Rinedhart & Winston, New York, 1976).
 C. Kittel, Introduction to Solid State Physics, 7th
edition (John Wiley & Sons, New York, 1996).
 S.L. Altman, Band Theory of Metals (Pergamon Press, New
York, 1970).
 R.M. White, Quantum Theory of magnetism, 3^{rd}
edition (SpringerVerlag, Berlin, 2007).
 C.P. Slichter, Principles of Magnetic Resonance (Harper
& Row, New York, 1963).
((Statistical physics and thermodynamics))
 L.D. Landau and E.M. Lifshitz, Statistical Physics 3^{rd}
edition, revised and enlarged, Part 1 (Pergamon Press, New York, 1980).
 F. Reif, Fundamentals of Statistical and Thermal Physics
(McGrawHill New York. 1965).
 C. Kittel and H. Kroemer, Thermal Physics, second
edition (W.H. Freeman and Company, New York, 1980).
((Superconductivity))
 P.G. de Gennes, Superconductivity of Metals and Alloys (W.A.
Benjamin, New York, 1966).
 M. Tinkham, Introduction to Superconductivity, Reprint
edition (Robert E. Krieger Publishing Company, INC, Malabar, Florida,
1980).
 J.B. Ketterson and S.N. Song, Superconductivity
(Cambridge University Press, 1999).
((Special relativity))
 A.P. French, Special relativity (W.W. Norton & Company
INC., New York 1968).
 C. Møller, The Theory of Relativity, 2nd edition
(Clarendon Press, Oxford, 1972).
 L.D. Landau and E.M. Lifshitz, The Classical Theory of Fields,
Fourth Revised English Edition (Pergamon Press, New York, 1975).
 W. Rindler, Introduction to Special Relativity
(Clarendon Press, Oxford, 1982).
((Optics))
 E. Hecht and A. Zajac, Optics (Addison Wesley, Reading,
Massachusetts, 1979).
((Laser))
 R. Loudon, The Quantum Theory of Light, 2ndedition (Clarendon Press,
Oxford, 1983).
 M. Sargent III, M.O.
Scully, and W.E. Lamb, Jr., Laser Physics (AddisonWesley, New
York, 1974).
((Lecture Notes))
M. Suzuki and I.S. Suzuki:
http://bingweb.binghamton.edu/~suzuki/research.html
Revised: Jamuary
10, 2015 