Background
Schulman, Lawrence S. was born on November 21, 1941 in Newark, New Jersey, United States. Son of Louis Leon and Anna (Susser) Schulman.
( A book of techniques and applications, this text define...)
A book of techniques and applications, this text defines the path integral and illustrates its uses by example. It is suitable for advanced undergraduates and graduate students in physics; its sole prerequisite is a first course in quantum mechanics. For applications requiring specialized knowledge, the author supplies background material. The first part of the book develops the techniques of path integration. Topics include probability amplitudes for paths and the correspondence limit for the path integral; vector potentials; the Ito integral and gauge transformations; free particle and quadratic Lagrangians; properties of Green's functions and the Feynman-Kac formula; functional derivatives and commutation relations; Brownian motion and the Wiener integral; and perturbation theory and Feynman diagrams. The second part, dealing with applications, covers asymptotic analysis and the calculus of variations; the WKB approximation and near caustics; the phase of the semiclassical amplitude; scattering theory; and geometrical optics. Additional topics include the polaron; path integrals for multiply connected spaces; quantum mechanics on curved spaces; relativistic propagators and black holes; applications to statistical mechanics; systems with random impurities; instantons and metastability; renormalization and scaling for critical phenomena; and the phase space path integral.
http://www.amazon.com/gp/product/0486445283/?tag=2022091-20
Schulman, Lawrence S. was born on November 21, 1941 in Newark, New Jersey, United States. Son of Louis Leon and Anna (Susser) Schulman.
Bachelor, Yeshiva U., 1963; Biodiversity Heritage Library, Yeshiva U., 1963; Doctor of Philosophy, Princeton University, 1967.
From assistant professor to professor, Indiana U., Bloomington, 1967-1978;
North Atlantic Treaty Organization postdoctoral fellow, 1970;
associate professor, then professor, Technion, Haifa, Israel, 1970-1988;
professor of physics, Clarkson U., Potsdam, New York, since 1985. Consultant International Business Machines Corporation, Yorktown Heights, New York, since 1975. Visiting professor U. Paris VI, since 1985, Columbia University, 1992.
Visiting scientist Center for Educational Affairs Saclay, Gif-sur-Yvette, France, since 1986. Donders professor of University Utrecht, The Netherlands, 1990. Senior guest fellow North Atlantic Treaty Organization-National Research Council, Florence, Italy, 1992.
( A book of techniques and applications, this text define...)
Member American Physical Society, Israel Physical Society, International Association Mathematics Physicists.
Married Claire Frangles Sherman. Children: Leonard, Linda, David.