This book contains the proceedings of the 3rd international conference on Path integrals from meV to MeV under the following: Feynman and Beyond; 40 years of path integration; Feynman and Hibbs revisited; Path integral application to a polaron in a magnetic field; Time dependent quantum tunnelling; and Two level systems in metals; A path integral approach.
This book contains the proceedings of the 3rd international conference on Path integrals from meV to MeV under the following: Feynman and Beyond; 40 years of path integration; Feynman and Hibbs revisited; Path integral application to a polaron in a magnetic field; Time dependent quantum tunnelling; and Two level systems in metals; A path integral approach.
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).
"Feynman path integrals are ubiquitous in quantum physics, even if a large part of the scientific community still considers them as a heuristic tool that lacks a sound mathematical definition. Our book aims to refute this prejudice, providing an extensive and self-contained description of the mathematical theory of Feynman path integration, from the earlier attempts to the latest developments, as well as its applications to quantum mechanics. This second edition presents a detailed discussion of the general theory of complex integration on infinite dimensional spaces, providing on one hand a unified view of the various existing approaches to the mathematical construction of Feynman path integrals and on the other hand a connection with the classical theory of stochastic processes. Moreover, new chapters containing recent applications to several dynamical systems have been added. This book bridges between the realms of stochastic analysis and the theory of Feynman path integration. It is accessible to both mathematicians and physicists"--
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)
Path Integrals in Physics: Volume I, Stochastic Processes and Quantum Mechanics presents the fundamentals of path integrals, both the Wiener and Feynman type, and their many applications in physics. Accessible to a broad community of theoretical physicists, the book deals with systems possessing a infinite number of degrees in freedom. It discusses the general physical background and concepts of the path integral approach used, followed by a detailed presentation of the most typical and important applications as well as problems with either their solutions or hints how to solve them. It describes in detail various applications, including systems with Grassmann variables. Each chapter is self-contained and can be considered as an independent textbook. The book provides a comprehensive, detailed, and systematic account of the subject suitable for both students and experienced researchers.