Cover image for A garden of quanta :  essays in honor of Hiroshi Ezawa
Title:
A garden of quanta : essays in honor of Hiroshi Ezawa
Publication Information:
New Jersey : World Scientific, 2003
ISBN:
9789812384454
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30000010061291 QC20 G374 2003 Open Access Book Book
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Summary

Summary

This book is a collection of reviews and essays about the recent wide-ranging developments in the areas of quantum physics. The articles have mostly been written at the graduate level, but some are accessible to advanced undergraduates. They will serve as good introductions for beginning graduate students in quantum physics who are looking for directions. Aspects of mathematical physics, quantum field theories and statistical physics are emphasized.


Table of Contents

Hiroshi EzawaK. WatanabeA. TonomuraT. Morishita and C.D. LinY.-H. Nie and Z.-J. Li and J.-Q. Liang and Q.W. YanJ.R. KlauderT. IchinoseT. Hida and Si SiL. StreitC.C. Bernido and M.V. Carpio-BernidoT. NakamuraS. Heath and L. SheppF. HiroshimaA. AraiM. HirokawaS. Nagamachi and E. BruningM. KobayashiC.S. LamM. Arai and M. Naganuma and M. Nitta and N. SakaiM. Hatsuda and W. SiegelJ. Frohlich and M. Merkli and S. Schwarz and D. UeltschiI. OjimaH. WatanabeS.-K. Wang and K. WuF.W. WiegelM. Revzen and K. Nakamura and A. MannM. OhyaY. NakagamiE. Alfinito and G. VitielloY. Yamamoto
List of Selected Publicationsp. xiii
Professor Hiroshi Ezawap. 1
1. Quantum Mechanics
Direct Observation of the Microscopic World by Using Phase Shifts of Electron Wavesp. 7
Electron Correlations in Atoms: Hyperspherical Approach to Multiply Excited States of Atomsp. 23
Bifurcation of Periodic Instantons and Quantum-Classical Transition in a Biaxial Anisotropy Nano-Ferromagnetp. 39
2. Path Integrals and Stochastic Processes
The Feynman Path Integral: An Historical Slicep. 55
Time-Sliced Approximation to Path Integral and Lie-Trotter-Kato Product Formulap. 77
Innovation Approach to Some Problems in Quantum Dynamicsp. 95
Feynman Paths, Sticky Walls, White Noisep. 105
White Noise Path Integrals: Applications in Polymer Entanglementp. 115
Double Strata of Time for Construction of Path-Space Measure for Stochastic Differential Equationsp. 131
Olbers' Paradox, Wireless Telephones, and Poisson Random Sets. Is the Universe Finite?p. 155
3. Quantum Field Theory
Nonrelativistic QED at Large Momentum of Photonsp. 167
Enhanced Binding in Models of Nonrelativistic Quantum Field Theoryp. 197
Recent Developments in Mathematical Methods for Models in Non-Relativistic Quantum Electrodynamicsp. 209
Localization in Quantum Field Theoryp. 243
Remarks on the Commutator of Quark Mass Matricesp. 275
Probing Extra Dimensions with Neutrino Oscillationsp. 285
BPS Wall in N = 2 SUSY Nonlinear Sigma Model with Eguchi-Hanson Manifoldp. 299
Current Algebra Approach to String Theoryp. 327
4. Statistical Mechanics
Statistical Mechanics of Thermodynamic Processesp. 345
How to Formulate Non-Equilibrium Local States in QFT?--General Characterization and Extension to Curved Spacetime--p. 365
Some Applications of Renormalization Group Analysisp. 385
Seven-Vertex Solutions of the Colored Yang-Baxter Equationp. 399
Brownian Motion as a Model for B-Cell Movementp. 425
The Lorentz Force and the Casimir Force at Finite Temperature and Casimir Entropyp. 437
5. Mathematical Problems
Information Dynamics and its Application to Recognition Processp. 445
Amenability for Weighted Hopf C*-Algebrasp. 463
The Bessel Equation and Dissipationp. 479
6. History
Simon Stevin and the Cultural Revolution in the 16th Centuryp. 491