Stochastic Analysis and Mathematical Physics : (Samp/Anestoc 2002) Proceedings of the Mathematical Legacy of R P Feynman; Lisbon, Portugal 3 - 7 June 2002; Proceedings of the Open Systems and Quantum Statistical Mechanics; Santiago, Chile, 7 - 11 January 2002

by Rebolledo, Rolando; Rezende, jorge; Zambrini, Jean-Claude

• ISBN13: 9789812560643
• ISBN10: 9812560645
• Format: Hardcover
• Copyright: 2004-09-30
• Publisher: World Scientific Pub Co Inc

Summary

The book collects a series of papers centered on two main streams: Feynman path integral approach to Quantum Mechanics and statistical mechanics of quantum open systems. Key authors discuss the state-of-the-art within their fields of expertise. In addition, the volume includes a number of contributed papers with new results, which have been thoroughly refereed.

Table of Contents

Preface	v
Rigorous Feynman Path Integrals, with Applications to Quantum Theory, Gauge Fields, and Topological Invariants	1	(60)
S. Albeverio, A. Hahn and A.N. Sengupta
Analytic Yeh-Feynman Integral and Generalized Conditional Yeh-Wiener Integral	61	(16)
J.S. Chang
The Selfadjoint Lie-Trotter-Kato Product Formula in Operator Norm and Time-Sliced Approximation to Imaginary-time Path Integral	77	(14)
T. Ichinose
Vassiliev Invariants and Functional Integration without Integration	91	(24)
L.H. Kauffman
Wiener Analysis and Cyclic Homology	115	(14)
R. Léandre
On the Affine Metaplectic Group	129	(12)
O. Rask
Open Quantum Systems and Classical Trajectories	141	(24)
R. Rebolledo
Stochastic Oscillatory Integrals: Asymptotics and Exact Expressions for Quadratic Phase Function	165	(18)
S. Taniguchi
Fourier-Feynman Transforms on Wiener Spaces	183	(20)
I. Yoo, K.S. Chang, D.H. Cho, B.S. Kim and T.S. Song
Infrared Bounds and Bose-Einstein Condensation: Study of a Class of Diagonalizable Perturbations of the Free Boson Gas	203	(14)
M. Corgini and H. Torres
Quadratic Wiener Functionals and Dynamics on Grassmannians: The Framework and the Simplest Example	217	(12)
K. Hara
Feynman's Operational Calculi Blending Instantaneous and Continuous Phenomena in Feynman's Operational Calculi	229	(26)
G.W. Johnson and L. Nielsen
On Quantum Stochastic Dynamics. Some Recent Developments	255	(16)
A.W. Majewski
Non Adapted Transformations of the Wiener Measure	271	(14)
A.B. Cruzeiro
Feynman Integrals and White Noise Analysis	285
J.L. Silva and L. Streit