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Principles of Newtonian and Quantum Mechanics, The - The Need For Planck's Constant, H.
This book deals with the foundations of classical physics from the "symplectic" point of view, and of quantum mechanics from the "metaplectic" point of view. The Bohmian interpretation of quantum mechanics is discussed. Phase space quantization is achieved using the "princip...
| Clasificación: | Libro Electrónico |
|---|---|
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
World Scientific
2001.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000M 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_ocn815741824 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
| 007 | cr un|---uuuuu | ||
| 008 | 121012s2001 xx ob 001 0 eng d | ||
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| 020 | |a 1281865982 | ||
| 020 | |a 9781281865984 | ||
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| 020 | |z 1860942741 |q (alk. paper) | ||
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| 049 | |a UAMI | ||
| 245 | 0 | 0 | |a Principles of Newtonian and Quantum Mechanics, The - The Need For Planck's Constant, H. |
| 260 | |b World Scientific |c 2001. | ||
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 520 | |a This book deals with the foundations of classical physics from the "symplectic" point of view, and of quantum mechanics from the "metaplectic" point of view. The Bohmian interpretation of quantum mechanics is discussed. Phase space quantization is achieved using the "principle of the symplectic camel", which is a recently discovered deep topological property of Hamiltonian flows. The mathematical tools developed in this book are the theory of the metaplectic group, the Maslov index in a precise form, and the Leray index of a pair of Lagrangian planes. The concept of the "metatron" is introduce. | ||
| 504 | |a Includes bibliographical references (pages 343-351) and index. | ||
| 505 | 0 | |a FOREWORD BY BASIL HILEY ; PREFACE ; 1 FROM KEPLER TO SCHRODINGER ... AND BEYOND ; 1.1 Classical Mechanics ; 1.2 Symplectic Mechanics ; 1.3 Action and Hamilton-Jacobi's Theory ; 1.4 Quantum Mechanics ; 1.5 The Statistical Interpretation of w. | |
| 505 | 8 | |a 1.6 Quantum Mechanics in Phase Space 1.7 Feynman's ""Path Integral"" ; 1.8 Bohmian Mechanics ; 1.9 Interpretations ; 2 NEWTONIAN MECHANICS ; 2.1 Maxwell's Principle and the Lagrange Form ; 2.2 Hamilton's Equations ; 2.3 Galilean Covariance. | |
| 505 | 8 | |a 2.4 Constants of the Motion and Integrable Systems 2.5 Liouville's Equation and Statistical Mechanics ; 3 THE SYMPLECTIC GROUP ; 3.1 Symplectic Matrices and Sp(n) ; 3.2 Symplectic Invariance of Hamiitonian Flows ; 3.3 The Properties of Sp(n) ; 3.4 Quadratic Hamiltonians. | |
| 505 | 8 | |a 3.5 The Inhomogeneous Symplectic Group 3.6 An Illuminating Analogy ; 3.7 Gromov's Non-Squeezing Theorem ; 3.8 Symplectic Capacity and Periodic Orbits ; 3.9 Capacity and Periodic Orbits ; 3.10 Cell Quantization of Phase Space ; 4 ACTION AND PHASE ; 4.1 Introduction. | |
| 505 | 8 | |a 4.2 The Fundamental Property of the Poincare-Cartan Form 4.3 Free Symplectomorphisms and Generating Functions ; 4.4 Generating Functions and Action ; 4.5 Short-Time Approximations to the Action ; 4.6 Lagrangian Manifolds ; 4.7 The Phase of a Lagrangian Manifold. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Geometric quantization. | |
| 650 | 0 | |a Lagrangian functions. | |
| 650 | 0 | |a Maslov index. | |
| 650 | 6 | |a Quantification géométrique. | |
| 650 | 6 | |a Fonctions de Lagrange. | |
| 650 | 6 | |a Indices de Maslov. | |
| 650 | 7 | |a Geometric quantization |2 fast | |
| 650 | 7 | |a Lagrangian functions |2 fast | |
| 650 | 7 | |a Maslov index |2 fast | |
| 650 | 7 | |a Maslov, Índex de. |2 lemac | |
| 720 | |a De Gosson, Maurice A. | ||
| 776 | 0 | 8 | |i Print version: |t Principles of Newtonian and Quantum Mechanics, The - The Need For Planck's Constant, H. |d World Scientific 2001 |w (DLC) 2001024570 |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=1681082 |z Texto completo |
| 938 | |a EBL - Ebook Library |b EBLB |n EBL1681082 | ||
| 938 | |a ProQuest MyiLibrary Digital eBook Collection |b IDEB |n 186598 | ||
| 994 | |a 92 |b IZTAP | ||