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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 … mais…

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Geometric Quantization and Quantum Mechanics - Livro de bolso

1980, ISBN: 0387904697

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

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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) - Livro de bolso

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… mais…

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

ISBN: 9780387904696

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

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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0387904697


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.

Dados detalhados do livro - Geometric Quantization and Quantum Mechanics Jedrzej Sniatycki Author


EAN (ISBN-13): 9780387904696
ISBN (ISBN-10): 0387904697
Livro de bolso
Ano de publicação: 1980
Editor/Editora: Springer New York Core >1 >T
248 Páginas
Peso: 0,354 kg
Língua: eng/Englisch

Livro na base de dados desde 2009-01-22T03:03:51-02:00 (Sao Paulo)
Página de detalhes modificada pela última vez em 2023-11-06T12:36:56-03:00 (Sao Paulo)
Número ISBN/EAN: 0387904697

Número ISBN - Ortografia alternativa:
0-387-90469-7, 978-0-387-90469-6
Ortografia alternativa e termos de pesquisa relacionados:
Autor do livro: sniatycki, woodhouse, blättner, sternberg
Título do livro: quantum mechanics, geometric mechanics, quantization, geo

Dados da editora

Autor: Jedrzej Sniatycki
Título: Applied Mathematical Sciences; Geometric Quantization and Quantum Mechanics
Editora: Springer; Springer US
230 Páginas
Ano de publicação: 1980-01-19
New York; NY; US
Língua: Inglês
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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