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ISBN: 9780387904696

This book contains a revised and expanded version of the lecture notes of two seminar series given during the academic year 1976/77 at the Department of Mathematics and Statistics of the … Plus…

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Jedrzej Sniatycki:

Geometric Quantization and Quantum Mechanics - Livres de poche

1980, ISBN: 0387904697

[EAN: 9780387904696], Neubuch, [PU: Springer New York], QUANTENMECHANIK QUANTISIERUNG THEORETICALPHYSICS QUANTUMMECHANICS PHYSIK ASTRONOMIE ALLGEMEINES LEXIKA QUANTIZATION THEORETICAL PHY… Plus…

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Geometric Quantization and Quantum Mechanics: 30 (Applied Mathematical Sciences, 30) - Sniatycki, Jedrzej
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Sniatycki, Jedrzej:
Geometric Quantization and Quantum Mechanics: 30 (Applied Mathematical Sciences, 30) - Livres de poche

1980

ISBN: 9780387904696

Springer, Paperback, Auflage: Softcover reprint of the original 1st ed. 1980, 240 Seiten, Publiziert: 1980-01-19T00:00:01Z, Produktgruppe: Book, 0.78 kg, Science, Professionals & Academic… Plus…

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Sniatycki, Jedrzej:
Geometric Quantization and Quantum Mechanics (Applied Mathematical Sciences, 30) - Livres de poche

ISBN: 9780387904696

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Sniatycki, Jedrzej:
Geometric Quantization and Quantum Mechanics (Applied Mathematical Sciences, 30) - Livres de poche

1980, ISBN: 0387904697

[EAN: 9780387904696], Neubuch, [PU: Springer], Books

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Geometric Quantization and Quantum Mechanics Jedrzej Sniatycki Author
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ISBN:

9780387904696


This book contains a revised and expanded version of the lecture notes of two seminar series given during the academic year 1976/77 at the Department of Mathematics and Statistics of the University of Calgary, and in the summer of 1978 at the Institute of Theoretical Physics of the Technical University Clausthal. The aim of the seminars was to present geometric quantization from the point of view· of its applica­ tions to quantum mechanics, and to introduce the quantum dynamics of various physical systems as the result of the geometric quantization of the classical dynamics of these systems. The group representation aspects of geometric quantiza­ tion as well as proofs of the existence and the uniqueness of the introduced structures can be found in the expository papers of Blattner, Kostant, Sternberg and Wolf, and also in the references quoted in these papers. The books of Souriau (1970) and Simms and Woodhouse (1976) present the theory of geometric quantization and its relationship to quantum mech­ anics. The purpose of the present book is to complement the preceding ones by including new developments of the theory and emphasizing the computations leading to results in quantum mechanics.

Informations détaillées sur le livre - Geometric Quantization and Quantum Mechanics Jedrzej Sniatycki Author


EAN (ISBN-13): 9780387904696
ISBN (ISBN-10): 0387904697
Livre de poche
Date de parution: 1980
Editeur: Springer New York Core >1 >T
248 Pages
Poids: 0,354 kg
Langue: eng/Englisch

Livre dans la base de données depuis 2009-01-22T06:03:51+01:00 (Zurich)
Page de détail modifiée en dernier sur 2023-11-06T16:36:56+01:00 (Zurich)
ISBN/EAN: 9780387904696

ISBN - Autres types d'écriture:
0-387-90469-7, 978-0-387-90469-6
Autres types d'écriture et termes associés:
Auteur du livre: sniatycki, woodhouse, blättner, sternberg
Titre du livre: quantum mechanics, geometric mechanics, quantization, geo

Données de l'éditeur

Auteur: Jedrzej Sniatycki
Titre: Applied Mathematical Sciences; Geometric Quantization and Quantum Mechanics
Editeur: Springer; Springer US
230 Pages
Date de parution: 1980-01-19
New York; NY; US
Langue: Anglais
139,09 € (DE)
142,99 € (AT)
153,50 CHF (CH)
Available
X, 230 p.

BC; Hardcover, Softcover / Physik, Astronomie/Theoretische Physik; Mathematische Physik; Verstehen; Quantenmechanik; Quantisierung; Quantization; Theoretical physics; quantum mechanics; Theoretical, Mathematical and Computational Physics; EA

1. Introduction.- 1.1 Background.- 1.2 Hamiltonian dynamics.- 1.3 Prequantization.- 1.4 Representation space.- 1.5 Blattner-Kostant-Sternberg kernels.- 1.6 Quantization.- 1.7 Schrödinger representation.- 1.8 Other representations.- 1.9 Time-dependent Schrödinger equation.- 1.10 Relativistic dynamics in an electromagnetic field.- 1.11 Pauli representation.- 2. Hamiltonian Dynamics.- 2.1 Poisson algebra.- 2.2 Local expressions.- 2.3 Relativistic charged particle.- 2.4 Non-relativistic dynamics.- 3. Prequantization.- 3.1 Connections in line bundles.- 3.2 Prequantization line bundle.- 3.3 Prequantization map.- 4. Representation Space.- 4.1 Polarization.- 4.2 The bundle ??F F.- 4.3 Square integrable wave functions.- 4.4 Bohr-Sommerfeld conditions.- 4.5 Distributional wave functions.- 5. Blattner-Kostant-Sternberg Kernels.- 5.1 Transverse polarizations.- 5.2 Strongly admissible pairs of polarizations.- 5.3 Metaplectic structure.- 5.4 Induced metaplectic structure.- 6. Quantization.- 6.1 Lifting the action of ?ft.- 6.2 Polarization preserving functions.- 6.3 Quantization via Blattner-Kostant-Sternberg kernels.- 6.4 Superselection rules.- 7. Schrödinger Representation.- 7.1 Single particle.- 7.2 System of particles.- 7.3 Blattner-Kostant-Sternberg kernels, quasiclassical approximations and Feynman path integrals.- 8. Other Representations.- 8.1 Bargmann-Fock representation.- 8.2 Harmonic oscillator energy representation.- 9. Time-Dependent Schrödinger Equation.- 10. Relativistic Dynamics in An Electromagnetic Field.- 10.1 Relativistic quantum dynamics.- 10.2 Charge superselection rules.- 10.3 Quantization in the Kaluza theory.- 11. Pauli Representation for Spin.- 11.1 Classical model of spin.- 11.2 Representation space.- 11.3 Quantization.- Glossary of Notation.

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