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Author:   Jedrzej Sniatycki
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 1980
Volume:   30
Dimensions:   Width: 15.50cm , Height: 1.30cm , Length: 23.30cm
Weight:   0.780kg
ISBN:  

9780387904696

ISBN 10:   0387904697
Pages:   230
Publication Date:   19 January 1980
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

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 Schroedinger representation.- 1.8 Other representations.- 1.9 Time-dependent Schroedinger 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. Schroedinger 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 Schroedinger 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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