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Proceedings of the International Conference on Path Integrals in Physics, Bangkok, 7-12 January 1993

Virulh Sa‐Yakanit, Jong-Orn Berananda, Wichit Sritrakool

Published Jan 1, 1994• 0 citations
OpenAlex

Abstract

Multiple paths, multivalued functions, L.S. Schulman the evolution of path integration, J.R. Klauder the universal propagator and its relation to conventional path integrals, W.A. Tome and J.R. Klauder polymers, topology and path integrals, F.W. Wiegel and D.C. Khandekar curious features of semiclassical formulas for the sum over histories, A. Inomata and G. Junker semiclassical quantization of the Gendenshtein systems, A. Inomata et al extension of the Feynman inequality for path integrals to a non-zero magnetic field - effective one-electron potential for the polaron, J.T. Devreese and F. Brosens recent developments on bipolarons via path integrals, J.T. Devreese et al numerical study of the partition function of a 1D polaron, J.T. Devreese et al variational approach to tunnelling - beyond the semiclassical approximation of Langer and Lipatov-perturbation coefficients to all orders, H. Kleinert systematic corrections to variational calculation of effective classical potential, H. Kleinert frontiers of path integration, L.S. Schulman. (Part Contents).

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Multiple paths, multivalued functions, L.S. Schulman the evolution of path integration, J.R. Klauder the universal propagator and its relation to conventional path integrals, W.A. Tome and J.R. Klauder polymers, topology and path integrals, F.W. Wiegel and D.C. Khandekar curious features of semiclassical formulas for the sum over histories, A. Inomata and G. Junker semiclassical quantization of the Gendenshtein systems, A. Inomata et al extension of the Feynman inequality for path integrals to a non-zero magnetic field - effective one-electron potential for the polaron, J.T. Devreese and F. Brosens recent developments on bipolarons via path integrals, J.T. Devreese et al numerical study of the partition function of a 1D polaron, J.T. Devreese et al variational approach to tunnelling - beyond the semiclassical approximation of Langer and Lipatov-perturbation coefficients to all orders, H. Kleinert systematic corrections to variational calculation of effective classical potential, H. Kleinert frontiers of path integration, L.S. Schulman. (Part Contents).
Quantum maps of geodesic flows on surfaces of negative curvature, E.B. Bogomolny, M. Carioli pure quantum self-consistent harmonic approximation, V. Tognetti, et al effective one-electron Hamiltonian for the path-integral of polaron, J.T Devreese, F. Brosens classification of solvable path integrals, C. Grosche, F. Steiner path integral solution for nonlinear langevin equations, P. Haonggi propagator of a periodically kicked particle on the real line, G. Junker, H. Leschke plane polymer enclosing a fixed algebraic area in electric fields, D.C. Khandekar, F.W. Wiegel continuous-time path integral regularization, J.R. Klauder path integrals in spaces with curvature and torsion, H. Kleinert Landau-Zener transitions in two dimensions, R. Littlejohn semiclassical quantization of the helium atom, D. Wintgen, et al dissipative quantum motion - a solvable multi-state tight-binding model, M. Sassetti, U. Weiss 1/n expansion for the Pekar-Frohlich polaron energy and effective mass, M.A. Smondyrev.
Quantum chaos, F. Steiner dissipative systems, U. Weiss the functional measure of Gauge theories in the presence of Gribov horizons, C. Becchi et al path integral representation for the phase of a chiral determinant and global chiral anomaly, A.A. Slavnov a theory of algebraic integration, R. Casalbuoni effective potential for dissipative systems, A. Cuccoli et al rigorous covariant path integrals, A. Dynin deformed oscillator and path integrals, P.P. Kulish complex monopoles in the path integral, Y. Hosotani et al quark composites approach to QCD, S. Caracciolo et al cluster algorithms for path integrals in continuous Euclidean time, B.B. Beard the quantum dissipative villain model, G. Falci et al smearing formulas for density matrices, M. Bachmann et al quantum thermodynamic rate theory, J.-L. Liao and E. Pollak quantum Zeno effect and Berry phase, S. Pascazio a Feynman paths approach to the tunnelling time problem, N. Yamada. (Part contents)
Fundamentals Path Integrals - Elementary Properties and Simple Solutions External Sources, Correlations, and Perturbation Theory Semiclassical Time Evolution Amplitude Variational Perturbation Theory Path Integrals with Topological Constrainsts Many Particle Orbits - Statistics and Second Quantization Path Integrals in Spherical Coordinates Fixed-Energy Amplitude and Wave Functions Spaces with Curvature and Torsion Schrodinger Equation in General Metric-Affine Spaces New Path Integral Formula for Singular Potentials Path Integral of Coulomb System Solution of Further Path Integrals by the Duru-Kleinert Method Path Integrals in Polymer Physics Polymers and Particle Orbits in Multiply Connected Spaces Tunneling Nonequilibrium Quantum Statistics Relativistic Particle Orbits Path Integrals and Financial Markets.
This monograph distills material prepared by the author for class lectures, conferences and research seminars. It fills in a much-felt gap between the older and original work by Feynman and Hibbs and the more recent and advanced volume by Schulman.After presenting an elementary account on the Wiener path integral as applied to Brownian motion, the author progresses on to the statistics of polymers and polymer entanglements. The next three chapters provide an introduction to quantum statistical physics with emphasis on the conceptual understanding of many-variable systems. A chapter on the renormalization group provides material for starting on research work. The final chapter contains an over view of the role of path integrals in recent developments in physics. A good bibliography is provided for each chapter.