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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 … More...

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Geometric Quantization and Quantum Mechanics - Paperback

1980, ISBN: 0387904697

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

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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) - Paperback

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… More...

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

ISBN: 9780387904696

Springer, 1980-01-19. Paperback. New. New. In shrink wrap. Looks like an interesting title!, Springer, 1980-01-19, 6

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

1980, ISBN: 0387904697

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

NEW BOOK. Shipping costs: EUR 31.78 Campbell Bookstore, Austin, TX, U.S.A. [83587969] [Rating: 4 (von 5)]

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Geometric Quantization and Quantum Mechanics Jedrzej Sniatycki Author

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.

Details of the book - Geometric Quantization and Quantum Mechanics Jedrzej Sniatycki Author


EAN (ISBN-13): 9780387904696
ISBN (ISBN-10): 0387904697
Paperback
Publishing year: 1980
Publisher: Springer New York Core >1 >T
248 Pages
Weight: 0,354 kg
Language: eng/Englisch

Book in our database since 2009-01-22T05:03:51+00:00 (London)
Detail page last modified on 2023-11-06T15:36:56+00:00 (London)
ISBN/EAN: 0387904697

ISBN - alternate spelling:
0-387-90469-7, 978-0-387-90469-6
Alternate spelling and related search-keywords:
Book author: sniatycki, woodhouse, blättner, sternberg
Book title: quantum mechanics, geometric mechanics, quantization, geo


Information from Publisher

Author: Jedrzej Sniatycki
Title: Applied Mathematical Sciences; Geometric Quantization and Quantum Mechanics
Publisher: Springer; Springer US
230 Pages
Publishing year: 1980-01-19
New York; NY; US
Weight: 0,780 kg
Language: English
128,39 € (DE)
131,99 € (AT)
142,00 CHF (CH)
POD
X, 230 p.

BC; Theoretical, Mathematical and Computational Physics; Hardcover, Softcover / Physik, Astronomie/Allgemeines, Lexika; 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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