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Martin C. Gutzwiller
Born	(1925-10-12)October 12, 1925 Basel, Switzerland
Died	March 3, 2014(2014-03-03) (aged 88) Rio Rancho, New Mexico
Alma mater	ETH Zurich, University of Kansas
Known for	Gutzwiller approximation Gutzwiller trace formula Hadamard–Gutzwiller model Hubbard model
Awards	Dannie Heineman Prize for Mathematical Physics (1993) Max Planck Medal (2003)
Scientific career
Fields	Quantum chaos, Complex Systems
Institutions	IBM, Columbia University, Yale University
Doctoral advisor	Max Dresden

Martin Charles Gutzwiller (12 October 1925 – 3 March 2014) was a Swiss-American physicist, known for his work on field theory, quantum chaos, and complex systems. He spent most of his career at IBM Research, and was also an adjunct professor of physics at Yale University.

Biography

Gutzwiller was born on October 12, 1925, in the Swiss city of Basel. He completed a Diploma degree from ETH Zurich, where he studied quantum physics under Wolfgang Pauli. He then went to the University of Kansas and completed a Ph.D under Max Dresden. After graduation, he worked on microwave engineering for Brown, Boveri & Cie, on geophysics for Shell Oil, and eventually for IBM Research in Switzerland, New York City, and Yorktown Heights, until his retirement in 1993. He also held temporary teaching appointments at Columbia University, ETH Zurich, Paris-Orsay, and Stockholm. He was Vice Chair for the Committee on Mathematical Physics, of the International Union of Pure and Applied Physics, from 1987 to 1993. He joined Yale University as adjunct professor in 1993, retaining the position until his retirement.

Scientific work

Gutzwiller formulated the Gutzwiller approximation for describing electrons with strong local interactions in terms of the Gutzwiller wave function, composed of a simple many-electron wave function acted on by a correlation operator ("Gutzwiller projection"). He was also the first to investigate the relationship between classical and quantum mechanics in chaotic systems. In that context, he developed the Gutzwiller trace formula, the main result of periodic orbit theory, which gives a recipe for computing spectra from periodic orbits of a system. He is the author of the classic monograph on the subject, Chaos in Classical and Quantum Mechanics (1990).

Gutzwiller is also known for finding novel solutions to mathematical problems in field theory, wave propagation, crystal physics, and celestial mechanics. In appreciation of his contributions to theoretical physics, the Max Planck Institute for the Physics of Complex Systems (MPIPKS) annually awards the Martin Gutzwiller Fellowship to acknowledge and promote exceptional research in this field.

Book collecting

Gutzwiller had an avid interest in the history of science. He eventually acquired a valuable collection of rare books on astronomy and mechanics. Shortly after his death, his collection was auctioned at Swann Galleries, in New York City. The auction took place on April 3, 2014, and raised a total of US$341,788.

Honors

• Fellow of National Academies of Science in 1992
• Fellow of American Academy of Arts and Sciences in 1993
• Fellow of American Physical Society
• Dannie Heineman Prize for Mathematical Physics in 1993
• Max Planck medal in 2003

References

1. ^ "Array of Contemporary American Physicists". Archived from the original on 11 October 2014. Retrieved 1 March 2012.
2. Directory entry, National Academy of Sciences
3. "Martin Gutzwiller Fellowship". Retrieved 1 March 2012.
4. Auction Report Archived 2014-05-19 at the Wayback Machine, Americana Exchange
5. "1993 Dannie Heineman Prize for Mathematical Physics Recipient". Retrieved 1 March 2012.

External links

• Chaos in classical and quantum mechanics by Martin C. Gutzwiller 1990
• Baeriswyl, Dionys; Berry, Michael; Vollhardt, Dieter (2014). "Martin Charles Gutzwiller" (PDF). Physics Today. 67 (6): 60. Bibcode:2014PhT....67f..60B. doi:10.1063/PT.3.2426.
• M. V. Berry and D. Baeriswyl, "Martin C. Gutzwiller", Biographical Memoirs of the National Academy of Sciences (2016)

v t e Chaos theory
Concepts	Core Attractor Bifurcation Fractal Limit set Lyapunov exponent Orbit Periodic point Phase space Anosov diffeomorphism Arnold tongue axiom A dynamical system Bifurcation diagram Box-counting dimension Correlation dimension Conservative system Ergodicity False nearest neighbors Hausdorff dimension Invariant measure Lyapunov stability Measure-preserving dynamical system Mixing Poincaré section Recurrence plot SRB measure Stable manifold Topological conjugacy Theorems Ergodic theorem Liouville's theorem Krylov–Bogolyubov theorem Poincaré–Bendixson theorem Poincaré recurrence theorem Stable manifold theorem Takens's theorem
Theoretical branches	Bifurcation theory Control of chaos Dynamical system Ergodic theory Quantum chaos Stability theory Synchronization of chaos
Chaotic maps (list)	Discrete Arnold's cat map Baker's map Complex quadratic map Coupled map lattice Duffing map Dyadic transformation Dynamical billiards outer Exponential map Gauss map Gingerbreadman map Hénon map Horseshoe map Ikeda map Interval exchange map Irrational rotation Kaplan–Yorke map Langton's ant Logistic map Standard map Tent map Tinkerbell map Zaslavskii map Continuous Double scroll attractor Duffing equation Lorenz system Lotka–Volterra equations Mackey–Glass equations Rabinovich–Fabrikant equations Rössler attractor Three-body problem Van der Pol oscillator
Physical systems	Chua's circuit Convection Double pendulum Elastic pendulum FPUT problem Hénon–Heiles system Kicked rotator Multiscroll attractor Population dynamics Swinging Atwood's machine Tilt-A-Whirl Weather
Chaos theorists	Michael Berry Rufus Bowen Mary Cartwright Chen Guanrong Leon O. Chua Mitchell Feigenbaum Peter Grassberger Celso Grebogi Martin Gutzwiller Brosl Hasslacher Michel Hénon Svetlana Jitomirskaya Bryna Kra Edward Norton Lorenz Aleksandr Lyapunov Benoît Mandelbrot Hee Oh Edward Ott Henri Poincaré Itamar Procaccia Mary Rees Otto Rössler David Ruelle Caroline Series Yakov Sinai Oleksandr Mykolayovych Sharkovsky Nina Snaith Floris Takens Audrey Terras Mary Tsingou Marcelo Viana Amie Wilkinson James A. Yorke Lai-Sang Young
Related articles	Butterfly effect Complexity Edge of chaos Predictability Santa Fe Institute

• 1925 births
• 2014 deaths
• Chaos theorists
• Members of the United States National Academy of Sciences
• Swiss physicists
• Mathematical physicists
• Book and manuscript collectors
• Scientists from Basel-Stadt
• ETH Zurich alumni
• Winners of the Max Planck Medal
• Swiss emigrants to the United States