Martin C. Gutzwiller

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Publications


1.Gutzwiller, M. C.:: "Quantum Theory of Wave Fields in a Curved Space," Helvetica Physica Acta 29, 313-338 (1956).
2.Gutzwiller, M. C.: "Über die Wirbelstromdämpfung bei ferromagnetischen Schichten," ZAMP, Zeits. fur angewandte Math. and Physik, 12, 506-516 (1961).
3.Gutzwiller, M. C.: "Notes sur les methodes elementaires en statistique quantique avec application a la temperature de Curie d'un alliage," Hely. Phys. Acta 34, 514-519 (1961).
4. Gutzwiller, M. C.: "Fermion Ensemble of Maximum Entropy," Phys. Rev. 125, 1455-1460 (1962).
5. Gutzwiller, M. C.: "Note on Green's Function in Anistropic Elasticity," Quarterly of Applied Mathematics 20, 249-256 (1962).
6. Gutzwiller, M. C.: "The Impact of a Rigid Circular Cylinder on an Elastic Solid," Phil. Trans. of the Royal Soc. of London 255, 153-191 (1962).
7. Gutzwiller, M. C.: "The Propagation of a Pulse along a Cylinder," Proc. of the 4the U. S. National Congress of Applied Mechanics, 189-194 (1962).
8. Gutzwiller, M. C., Drangeid, K. E., Sommerhalder, R. and Thomas, H.: "On the Sign Reversal of a Magnetic Field Penetrating a Super-Conductor," Symposium of the Electric and Magnetic Properties of Thin Metallic Layers, Louvain, 326-337, (1962).
9. Gutzwiller, M. C.: "Effect of Correlation on the Ferromagnetism of Transition Metals," Phys. Rev. Lett. 10, 159-162 (1963).
10. Gutzwiller, M. C. and Miranker, W. L.: "Nonlinear Wave Propagation in a Transmission Line," IBM J. of Research and Development 7, 278-287 (1963).
11. Gutzwiller, M. C.: "Effect of Correlation on the Ferromagnetism of Transition Metals," Phys. Rev. 134A, 923-941 (1964).
12. Gutzwiller, M. C.: "Correlation of Electrons in a Narrow s Band," Phys. Rev. 137A, 1726-1735 (1965).
13. Gutzwiller, M. C. and Wells, R. 0., Jr.: "The Electronic States around a Dislocation," J. Phys. Chem. Solids 26, 349-352 (1966).
14. Gutzwiller, M. C.: "Dislocations and Electrons in Metals," Chap. 12 of 'Atomic and Electronic Structure of Metals'; presented at Chicago Seminar, October 29-30, 1966; American Society for Metals, Metals Park, Ohio (1967).
15. Gutzwiller, M. C.: "The Phase Integral Approximation in Momentum Space and the Bound States of an Atom," J. Math. Phys. 8, 1979-2000 (1967).
16. Gutzwiller, M. C.: "The Phase Integral Approximation in Momentum Space and the Bound States of an Atom II," J. Math. Phys. 10, 1004-1020 (1969).
17. Gutzwiller, M. C.: "The Energy Spectrum According to Classical Mechanics," J. Math. Phys. 11, 1791-1806 (1970).
18. Gutzwiller, M. C.: "Periodic Orbits and Classical Quantization Conditions," J. Math. Phys. 12, 343-358 (1971).
19. Gutzwiller, M. C. and Chao, K. A.: "Correlation of Electrons in a Degenerate Band," J. Applied Physics 42, 1420-1421 (1971).
20. Gutzwiller, M. C.: "The Anistropic Kepler Problem in Two Dimensions," J. Math. Phys. 14, 139-152 (1973).
21. Gutzwiller, M. C.: "Ferromagnetism and Photoemission in Transition Metals," AIP Conference Proceedings, Magnetism and Magnetic Materials, 1197-1217 (1972).
22. Gutzwiller, M. C.: "Bernoulli Sequences and Trajectories in the Anisotropic Kepler Problem," J. Math. Phys. 18, 806-823 (1977).
23. Gutzwiller, M. C.: "Path Integrals and the Relation between Classical and Quantum Mechanics," in Path Integrals and Their Applications in Quantum, Statistical, and Solid State Physics, ed. G. Papadopoulos and J. T. Devreese, Plenum Press, New York, 1978, p. 163-200.
24. Gutzwiller, M. C.: "Classical Quantization Conditions for a Dynamical System with Stochastic Behavior," in Stochastic Behavior in Classical and Quantum Hamiltonian Systems, ed. G. Casati and J. Ford, Lecture Notes in Physics 93, Springer-Verlag, 1979, p. 316-325.
25. Gutzwiller, M. C.: "The Numerical Evaluation of Eckert's Lunar Ephemeris," The Astronomical Journal 84, 889-899 (1979).
26. Gutzwiller, M. C.: "The Quantum Mechanical Toda Lattice," Annals of Physics. 124, 347-381 (1980).
27. Gutzwiller, M. C.: "The Classical Quantization of a Hamiltonian with Ergodic Behavior," Physical Review Letters, 45, 150-153 (1980).
28. Gutzwiller, M. C.: "Periodic Orbits in the Anisotropic Kepler Problem," in Classical Dynamics and Dynamical Systems, ed. Nitecki and Devaney, Lecture Notes in pure and applied mathematics, Vol. 70, Marcel Dekker, Inc., New York and Basel, 1981, p. 69-90.
29. Gutzwiller, M. C.: "The Quantum Mechanical Toda Lattice, II," Annals of Physics 133, 304-331 (1981).
30. Gutzwiller, M. C.: The Quantization of a Classically Ergodic System", Physica 5D (1982), 182-207.
31. Gutzwiller, M. C.: "Stochastic Behavior in Quantum Scattering", Physica 7D (1983), 341-355.
32.Gutzwiller, M. C.: 'The Quantization of a Classically Ergodic System', Chapter in Classical and Quantum Models and Arithmetic Problems, edited by D. and G. Chudnovsky, Marcel Dekker, New York (1984) 287-351.
33. Gutzwiller, M. C.: "Mild Chaos", in Chaotic Behavior in Quantum Systems,, edited by Giulio Casati, Plenum Publishing Corporation, 1985, p. 149-164.
34. Gutzwiller, M. C.: "The Geometry of Quantum Chaos", Physica Scripta, T9 (1985) 184-192.
35. Gutzwiller, M. C.: "Physics and the Selberg Trace Formula", Proceedings of the American Mathematical Society 1984 Summer Research Conference on the Selberg Trace Formula, Contemporary Mathematics 53 (1986) p. 215-251.
36. Gutzwiller, M. C. and Schmidt, D. S.: "The Motion of the Moon as Computed by the Method of Hill, Brown and Eckert", Astronomical Papers prepared for the use of the American Ephemeris and Nautical Almanac, published by the Nautical Almanac Office, U.S. Naval Observatory, Volume XXIII, Part I, (1986), 1-272.
37. Gutzwiller, M. C.: "The Path Integral in Chaotic Hamiltonian Mechanics", Proceedings of the 1985 Bielefeld Conference on Path Integrals from meV to MeV, ed. by M. C. Gutzwiller, A. Inomata, J. R. Klauder, and L. Streit, World Scientific Publishing Co., 1986, 119-136.
38.Gutzwiller, M. C.: "Mechanics on a Surface of Constant Negative Curvature", in Number Theory (New York 1984-85), ed. D.V.Chudnovsky, G.V.Chudnovsky, H.Cohn, and M.B.Nathanson, Lecture Notes in Mathematics 1240, Springer Verlag, 1987, p.230-258.
39. Gutzwiller, M. C.: "From Classical to Quantum Mechanics with Hard Chaos", Journal of Physical Chemistry 92 (1988) 3154-3163.
40. Gutzwiller, M. C. and Mandelbrot, B. B.: "Invariant Multifractal Measures in Chaotic Hamiltonian Systems and Related Structures", Physical Review Letters 60 (1988) 673-676.
41. Gutzwiller, M. C.: 'Huygens' Principle and the Path Integral", in Path Summation: Achievements and Goals, ed. S. Lundqvist, A. Ranfagni, V. Sayakanit, and L.S. Schulmann, World Scientific Publishing Co., Hong-Kong 1988, 47-73.
42. Gutzwiller, M. C.: "Chaos and Symmetry in the History of Mechanics", 11 Nuovo Cimento 11 D (1989) 1-17.
43. Gutzwiller, M. C.: "Fractals in Classical Mechanics", Helvetica Physica Acta 62 (1989) 613-630.
44. Gutzwiller, M. C.: "Multifractal Measures and Stability Islands in the Anisotropic Kepler Problem", Physica D (1989) 160-171.
45.Gutzwiller, M. C.: "The Semi-Classical Quantization of Chaotic Hamiltonian Systems", in Chaos and Quantum Physics, edited by M.-J. Giannoni, A. Voros and J. Zinn-Justin, Les Houches, Session LII, 1989, Elsevier Science Publishers B.V., 1991, pages 201-249.
46. Gutzwiller, M. C.: "Quantum Chaos", Scientific American January 1992, vol. 206 No. 1, pages 78-84.
47. Gutzwiller, M. C.: "The Role of Perturbation Theory in the Development of Physics", in Quantum Chaos - Quantum Measurement, edited by P. Cvitanovic and A. Wirzba, Kluwer Academic Publishers, 1992, pages 1-18.
48. Gutzwiller, M. C.: "Poincare Surface of Section and Quantum Scattering", CHAOS 3 (1993) 591-599.
49. Gutzwiller, M. C.: "Chaos with Few Degrees of Freedom", Progress of Theoretical Physics, Supplement No. 116 (1994), pages 1-16.
50. Gutzwiller, M. C.: "Moon-Earth-Sun: The Oldest, Best Known, But Least Understood Three-Body Problem", in Few-Body Problems in Physics, edited by Franz Gross, AIP Conference Proceedings 334, AIP Press, New York, 1995, pages 275-289.
51. Gutzwiller, M. C.: "Newton and die vielen Bewegungen des Mondes", in Stern, Mond, Kometen - Bremen and die Astronomic, edited by Peter H. Richter, Hauschild-Verlag, Bremen 1995, pages 23-43.
52. Gutzwiller, M. C.: "Der Mond in der menschlichen Geschichte", Sterne and Weltraurn - Zeitschrift fur Astronomie, SuW 35 (1996) Nr. 9-9, Seite 620-628.
53.Gutzwiller, M. C.: "The Origins of the Trace Formula", in Classical, Semiclassical and Quantum Dynamics in Atoms, edited by H. Friedrich and B. Eckhardt, Lecture Notes in Physics 485, Springer-Verlag Berlin Heidelberg 1997, pages 8-28.
54. Gutzwiller, M. C.: "Physics and Arithmetic Chaos in the Fourier Transform", in The Mathematical Beauty of Physics, A Memorial Volume for Claude Itzykson, edited by J.M. Drouffe and J.B. Zuber, World Scientific Singapore 1997, pages 258-280.
55. Gutzwiller, M. C.: "The Interplay between Classical and Quantum Mechanics", Resources Letter, American Journal of Physics 66 (1998) 304-324.
56. Gutzwiller, M. C.: "Moon-Earth-Sun: The Oldest Three-Body Problem", Reviews of Modem Physics 70 (1998) 589-639.
57. Gutzwiller, M. C.: "Concluding Comments", in Quantum Chaos, Adriatico Research Conference and Miniworkshop, edited by H.A.Cerdeira, M.C.Gutzwiller, R. Ramaswamy, and G. Casati, World Scientific Singapore 1991, pages 461-465.
58. Gutzwiller, M. C.: "Wallace Eckert, Computers, and the Nautical Almanac Office", Proceedings of the Nautical Almanac Office' Sesquicentennial Symposium, edited by Alan D. Fiala and Steven J. Dick, U.S. Naval Observatory, Washington, D.C. year?xxx.
59. Gutzwiller, M. C.: "Der Mond in der WissenschaftsGeschichte" , Wissenschafts-Kolleg in Berlin 2000.
60. Gutzwiller, M. C.: "After-Dinner Speech", Quantum Chaos Y2K, Proceedings of Nobel Symposium 116, edited by Karl-Frederik Bergren and Sven Aberg, The Royal Swedish Academy of Sciences, World Scientific Singapore, Physica Scripta T90, 13-14, 2001.
61. Gutzwiller, M. C.: "The Trace Formula between Classical and Quantum Mechanics", Symposium "30 Jahre Gutzwiller Trace Formula", at the March Meeting 2001 of the German Physical Society in Hamburg, Physica Status Solidi.
62. Gutzwiller, M. C.: "Von den Uebergangsmetallen zur Spurformel", Festvortrag anlaesslich der Verleihung der Max-Planck Medaille 2003 auf der 67. Physikertagung in Hannover, Physik Journal 2 (2003) Nr. 7/8, 39-43.
63. Gutzwiller, M. C.: "Calculationn of Feynman diagrams in space and time by stationary phase", Festschrift in honour of Jozef T. Devreese, edited by F.Brosens, V.Fomin, L.lemmens, and F.Peters, Physica Status Solidi (b) 237 (2003) 39-48.
64. Gutzwiller, M. C.: "Quo Vadis, Physica?" , IX Congres de Pensament dels Premis Octubre 'Ciencia i Societat" , Valencia, 2000; L'Espill (2004) 136-147 (trad. Jesus Navarro).
65. Special Issue of Invited Papers Dedicated to MCG, Guest Editors: Akira Inomata, Lawrence Schulman, Frank Steiner, Dieter Vollhardt, Foundations of Physics 30 (2000) 1997-2156, and 31 (2001) 1-734.

BOOK
Martin C. Gutzwiller. "Chaos in Classical and Quantum Mechanics", volume I of Interdisciplinary Applied Mathematics, Springer Verlag, New York, 1990, 432 pages. (corrected second printing 1991, third printing 1993, fourth printing 1995)
Martin C. Gutzwiller. "The Interplay between Classical and Quantum Mechanics", A collection of relevant articles in this field, published for the AAPT (American Association of Physics Teachers) by AIP (American Institute of Physics).

Articles in Encyclopedias

Articles on "Correspondence Principle" and "Nonlinear Physics" for the eighth edition of the McGraw-Hill Encyclopedia of Science & Technology, McGraw-Hill, New York 1997
"Quantum Chaos" for scholarpedia.org, introduction for general reader, diagrams.

Book Reviews

"The Transition to Chaos" by Linda Reichl, and "Quantum Signatures of Chaos" by Fritz Haake, in Physics Today, July 1992, page 67.
"Order - Chaos - Order. The Development of Modem Physics" by Philip Stehle, in Physics World, January 1995, page 41.
"Quantum Chaos: A New Paradigm of Nonlinear Dynamics" by K. Nakamura, in Physics Today, August 1995, page 58.
"The Three-Body Problem" by Mauri Valtonen and Hannu Karttunen, for Physics Today

Public Correspondence

Martin C. Gutzwiller: "Two Questions Physics can no Longer Avoid", Letter to the Editor, Physics Today (August 199.4 part 1), vol. 47 number 8 part 1, American Institute of Physics, pages 9-10.
"Has Particle Physics Fulfilled Its Promise?" Reply by Michael Dine of the University of California in Sante Cruz, followed by a rebuttal of MCG, Letters to the Editor, Physics Today (February 1995), volume 48 number 2, AIP, pages 13-14.
Martin C. Gutzwiller: "Lisa Randall's Quick Study", Letter to the Editor, Physics Today, (February or March 2008) .
Last change . 01.2008 . jmr