A Garden of Quanta
by Arafune, J.; Arai, A.; Kobayashi, M.; Nakamura, K.; Nakamura, T.; Ojima, I.; Sakai, N.Format: Hardcover
Pub. Date: 2003-09-01
Publisher(s): World Scientific Pub Co Inc
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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
| List of Selected Publications | p. xiii |
| Professor Hiroshi Ezawa | p. 1 |
| Quantum Mechanics | |
| Direct Observation of the Microscopic World by Using Phase Shifts of Electron Waves | p. 7 |
| Electron Correlations in Atoms: Hyperspherical Approach to Multiply Excited States of Atoms | p. 23 |
| Bifurcation of Periodic Instantons and Quantum-Classical Transition in a Biaxial Anisotropy Nano-Ferromagnet | p. 39 |
| Path Integrals and Stochastic Processes | |
| The Feynman Path Integral: An Historical Slice | p. 55 |
| Time-Sliced Approximation to Path Integral and Lie-Trotter-Kato Product Formula | p. 77 |
| Innovation Approach to Some Problems in Quantum Dynamics | p. 95 |
| Feynman Paths, Sticky Walls, White Noise | p. 105 |
| White Noise Path Integrals: Applications in Polymer Entanglement | p. 115 |
| Double Strata of Time for Construction of Path-Space Measure for Stochastic Differential Equations | p. 131 |
| Olbers' Paradox, Wireless Telephones, and Poisson Random Sets. Is the Universe Finite? | p. 155 |
| Quantum Field Theory | |
| Nonrelativistic QED at Large Momentum of Photons | p. 167 |
| Enhanced Binding in Models of Nonrelativistic Quantum Field Theory | p. 197 |
| Recent Developments in Mathematical Methods for Models in Non-Relativistic Quantum Electrodynamics | p. 209 |
| Localization in Quantum Field Theory | p. 243 |
| Remarks on the Commutator of Quark Mass Matrices | p. 275 |
| Probing Extra Dimensions with Neutrino Oscillations | p. 285 |
| BPS Wall in N = 2 SUSY Nonlinear Sigma Model with Eguchi-Hanson Manifold | p. 299 |
| Current Algebra Approach to String Theory | p. 327 |
| Statistical Mechanics | |
| Statistical Mechanics of Thermodynamic Processes | p. 345 |
| How to Formulate Non-Equilibrium Local States in QFT?--General Characterization and Extension to Curved Spacetime-- | p. 365 |
| Some Applications of Renormalization Group Analysis | p. 385 |
| Seven-Vertex Solutions of the Colored Yang-Baxter Equation | p. 399 |
| Brownian Motion as a Model for B-Cell Movement | p. 425 |
| The Lorentz Force and the Casimir Force at Finite Temperature and Casimir Entropy | p. 437 |
| Mathematical Problems | |
| Information Dynamics and its Application to Recognition Process | p. 445 |
| Amenability for Weighted Hopf C*-Algebras | p. 463 |
| The Bessel Equation and Dissipation | p. 479 |
| History | |
| Simon Stevin and the Cultural Revolution in the 16th Century | p. 491 |
| Table of Contents provided by Ingram. All Rights Reserved. |
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