Proceedings of the sixth International Conference on Path Integrals from peV to TeV : 50 years after Feynman's paper ; Florence, Italy 25-29 August 1998
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)
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)
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.
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).
Some geometric phases, M. Berry QED effects in the Dyon external field, E. Tolkachev a Schroedinger equation for mini universes, V. de Alfaro diffuse high-energy neutrino fluxes - active galactic nuclei and bright phase of galaxies evolution, A. Gazizov the concept of potential in quantum field theory, J. Sucher quasi-classical formulas in super symmetric quantum mechanics, A. Inomata squeezed states and relativistic quantum mechanics, Y.S. Kim quantum optics of single atoms and trapped molecules, S. Kilin magnetic monopoles and other fictional astrophysical particles, P. Trower the Rho-Meson contribution to nucleon form factors from low-energy unitarity, M. Krivoruchenko covariant deformed oscillator algebras, C. Quesne Kaluza-Klein or fibre bundles?, N.P. Konopleva. (Part Contents).
These lectures are intended for graduate students who want to acquire a working knowledge of path integral methods in a wide variety of fields in physics. In general the presentation is elementary and path integrals are developed in the usual heuristic, non-mathematical way for application in many diverse problems in quantum physics. Three main parts deal with path integrals in non-relativistic quantum mechanics, many-body physics and field theory and contain standard examples (quadratic Lagrangians, tunneling, description of bosons and fermions, quantization of gauge theories etc.) as well as specialized topics (scattering, dissipative systems, spin \& color in the path integral, lattice methods etc.). In each part simple Fortran programs which can be run on a PC, illustrate the numerical evaluation of (Euclidean) path integrals by Monte-Carlo or variational methods. Also included are the set of problems which accompanied the lectures and their solutions.
Fullerene: symmetries and symmetry breaking, M. Rasetti flux dynamics in 2-dimensional arrays of Josephson junctions, A.R. Bishop the magnetic field dependence of the SDW transport in organic conductors, K. Maki Peierls substitution and Chern-Simons quantum mechanics, G. Dunne and R. Jackiw quantum solids by means of effective potentials, V. Tognetti Path integral approach to classical mechanics and Toda criterion, E. Gozzi et al integrable systems of coupled nonlinear ODEs and PDEs and solvable nonlinear integrodifferential equations of Boltzmann type, F. Calogero asymptotic formulae for cycles in the quadratic map, J. Stephenson cavity methods for mean field spin glasses, F. Guerra c-calculus and fuzzy measures, E. R. Caianiello remarks on constructing a measure for Yang-Mills fields, G.F. Dell'Antonio physical states of unbroken gauge symmetry, M.H. Friedman et al chiral symmetry breaking in lattice QED, G.W. Semenoff a united framework for quantum stochastic differential equations within nonequilibrium thermofield dynamics, T. Arimitsu gauge theory for thermal Bogolubov transformation, K. Nakamura dynamical rearrangement of symmetries in nuclei, F.C. Khanna. (Part contents)