9789056992118

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

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  • ISBN13:

    9789056992118

  • ISBN10:

    9056992112

  • Edition: 1st
  • Format: Hardcover
  • Copyright: 1999-08-19
  • Publisher: CRC Press

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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

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