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World Scientific Publishing Company, Incorporated
A Garden of Quanta

A Garden of Quanta


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A Garden of Quanta

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.

Product Details

ISBN-13: 9789812384454
Publisher: World Scientific Publishing Company, Incorporated
Publication date: 07/28/2003
Pages: 524
Product dimensions: 6.86(w) x 8.66(h) x 1.27(d)

Table of Contents

List of Selected Publicationsxiii
Professor Hiroshi Ezawa1
1.Quantum Mechanics
Direct Observation of the Microscopic World by Using Phase Shifts of Electron Waves7
Electron Correlations in Atoms: Hyperspherical Approach to Multiply Excited States of Atoms23
Bifurcation of Periodic Instantons and Quantum-Classical Transition in a Biaxial Anisotropy Nano-Ferromagnet39
2.Path Integrals and Stochastic Processes
The Feynman Path Integral: An Historical Slice55
Time-Sliced Approximation to Path Integral and Lie-Trotter-Kato Product Formula77
Innovation Approach to Some Problems in Quantum Dynamics95
Feynman Paths, Sticky Walls, White Noise105
White Noise Path Integrals: Applications in Polymer Entanglement115
Double Strata of Time for Construction of Path-Space Measure for Stochastic Differential Equations131
Olbers' Paradox, Wireless Telephones, and Poisson Random Sets. Is the Universe Finite?155
3.Quantum Field Theory
Nonrelativistic QED at Large Momentum of Photons167
Enhanced Binding in Models of Nonrelativistic Quantum Field Theory197
Recent Developments in Mathematical Methods for Models in Non-Relativistic Quantum Electrodynamics209
Localization in Quantum Field Theory243
Remarks on the Commutator of Quark Mass Matrices275
Probing Extra Dimensions with Neutrino Oscillations285
BPS Wall in N = 2 SUSY Nonlinear Sigma Model with Eguchi-Hanson Manifold299
Current Algebra Approach to String Theory327
4.Statistical Mechanics
Statistical Mechanics of Thermodynamic Processes345
How to Formulate Non-Equilibrium Local States in QFT?--General Characterization and Extension to Curved Spacetime--365
Some Applications of Renormalization Group Analysis385
Seven-Vertex Solutions of the Colored Yang-Baxter Equation399
Brownian Motion as a Model for B-Cell Movement425
The Lorentz Force and the Casimir Force at Finite Temperature and Casimir Entropy437
5.Mathematical Problems
Information Dynamics and its Application to Recognition Process445
Amenability for Weighted Hopf C*-Algebras463
The Bessel Equation and Dissipation479
Simon Stevin and the Cultural Revolution in the 16th Century491

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