On Klauder's Path: A Field Trip

This volume contains contributions by friends, colleagues and associates of John R Klauder on the occasion of his 60th birthday. Klauder's scientific work embraces vast territories from quantum theories to general relativity, optics and chaotic dynamics. A recurrent theme in his research is the role played by coherent states, in particular, in connection with path integral formulations of quantization. Perhaps at a less lofty level, this concept has had at least two spectacular applications: as a powerful investigative tool in quantum optics and as a precursor to wavelets. In a different vein, Klauder also attacked specific, non-renormalizable but exactly soluble, hard-core models in field theory, where he uncovered what has since been called the Klauder phenomenon. The contributors to this volume represent the special brand of mathematicians and physicists John Klauder helped define throughout his seminal career in the industrial and academic worlds. Contents:Preface (J R Klauder)A Remark on a Connection of Return to Equilibrium and Multiple Ground States in Some Perturbed XY–Model (H Araki)Covariance Sub-Algebras Connected with Symmetry Groups of C∗öAlgebras (H J Borchers)Coherent-State Path-Integrals and Their Relations to Wavelets (B De Facio)Brownian Motion and Its Conditional Descendants (P Garbaczweski)Path Integrals and Network Quantum Numbers (R Gilmore and M Jeffery)Reckoning of the Besselian Path Integral (A Inomata)On Q-Analogs of Coherent States (M A Lohe & L C Biedenharn)Coherent States and Squeezed States, Supercoherent States and Supersqueezed States (M M Nieto)How to Generate Thermal Photons — On the Computer (M R Schroeder)A Local Quantum Theory Without Positive Energy Representations (R F Streater)Quantum Noise and Thermal Noise (H Umezawa)and other papers Readership: Physicists and mathematicians. keywords: