Mathematical Methods of Quantum Physics: 2nd Jagna International Workshop: Essays in Honor of Professor Hiroshi Ezawa

by Watanabe; K.

• ISBN13: 9789056992118
• ISBN10: 9056992112
• Edition: 1st
• Format: Hardcover
• Copyright: 1999-08-19
• Publisher: CRC Press

Summary

Articles are presented, covering a wide range of topics in the mathematical methods of quantum physics. These include infinite dimensional analysis based on white noise, operator algebra methods, Feynman path integrals, quantum mechanics on non-simply connected spaces, recent results in supersymmetric theories, stochastic and quantum dynamics, Yang-Baxter systems, statistical physics, thermo field dynamics, and quantum field theory.The essays are based on lectures contributed for the Second Jagna International Workshop held in honour of Prof. Hiroshi Ezawa, a distinguished physicist, educator, and former president of the Physical Society of Japan.

Table of Contents

Preface	ix
Sponsors	xi
Workshop Photos	xiii
Opening Address	xv
Opening Remarks	xvii
STOCHASTIC PROCESSES
White Noise Analysis and Quantum Dynamics	3	(6)
T. Hida
Some Observations on Stochastic vs. Quantum Dynamics - Following Ezawa, Klauder and Shepp	9	(10)
L. Streit
On a Kubo Noise Associated with a Multidimensional Stationary Curve in a Hilbert Space	19	(10)
Y. Okabe
QUANTUM FIELD THEORY AND STATISTICAL MECHANICS
Operator Algebra Methods in Quantum Physics	29	(14)
H. Araki
Irreversibility from a Reversible Equation	43	(18)
H. Ezawa
K. Watanabe
K. Nakamura
Solutions of Colored Yang-Baxter Equation	61	(12)
S. K. Wang
H. T. Yang
K. Wu
The Super RS Method for Quantum Affine Superalgebra Uq(gl(1|1)) and Super Yangian Double DY(gl(1&varbar;1))	73	(12)
J. F. Cai
K. Wu
C. Xiong
S. K. Wang
Green's Function Method and Theory of Repulsive Bose Gas	85	(14)
F. Basco
H. Fukuyama
On an Expression of the Ground State Energy of the Spin-Boson Hamiltonian	99	(10)
M. Hirokawa
Spin-Polarons in High-Tc Superconductivity	109	(8)
A. A. Morales, Jr.
D. M. Yanga
FUNCTIONAL INTEGRALS AND THEIR APPLICATIONS
An Introduction to Coordinate-free Quantization and its Application to Constrained Systems	117	(14)
J. R. Klauder
S. V. Shabanov
Physics On and Near Caustics - A Simpler Version	131	(14)
P. Cartier
C. DeWitt-Morette
Norm Estimate for Kac's Transfer Operator with Applications to the Lie-Trotter Product Formula	145	(10)
T. Ichinose
Nonstandard Analytical Construction of a Path Space Measure for the 4-D Dirac Equation	155	(12)
T. Nakamura
K. Watanabe
H. Ezawa
Relativistic Quantum Mechanics in Spaces with a Ring-Shaped Topological Defect	167	(12)
C. C. Bernido
Quantum Mechanics on a Riemann Surface	179	(8)
F. W. Wiegel
On the Path Integral Evaluation of the S-Matrix for Noncentral Potentials	187	(14)
M. V. Carpio-Bernido
E. B. Gravador
C. C. Bernido
SPIN SYSTEMS AND COHERENT STATES
Path Integral Method for Tunneling of Spin Systems and the Macroscopic Quantum Coherence	201	(14)
J. Q. Liang
Y. Zhang
F. C. Pu
Classical Properties of Generalized Coherent States: From Phase-Space Dynamics to Bell's Inequality	215	(14)
C. Brif
A. Mann
M. Revzen
GAUGE FIELD THEORY AND SUPERSYMMETRY
Aspects of Gauge Quantum Mechanics on Non-Simply Connected Spaces	229	(12)
A. Arai
Yang-Mills Theory in a Non-Linear Gauge	241	(14)
J. A. Magpantay
Time-Ordered Products and Exponentials	255	(8)
C. S. Lam
Gauge Symmetry Breaking through Soft Masses in Supersymmetric Gauge Theories	263	(12)
N. Sakai
Spontaneous Collapse of Supersymmetry	275	(12)
I. Ojima
Relating Rarita-Schwinger and Bargmann-Wigner Spin-3/2 Fields by Projection Technique	287	(14)
L. C. Chan
THERMO FIELD DYNAMICS
A Direct Transformation between Imaginary-Time and Real-Time Thermofield Theories Induced by Section Rotations in η - ξ Spacetime	301	(10)
Y. X. Gui
Y. J. Gao
Canonical Quantization for Expanding Geometry Universe	311	(12)
E. Alfinito
G. Vitiello
List of Participants and Contributors	323	(4)
Scientific Works of Professor Hiroshi Ezawa	327	(12)
Subject Index	339