Mathematical aspects of Weyl quantization and phase /

This book analyzes in considerable generality the quantization-dequantization integral transform scheme of Weyl and Wigner, and considers several phase operator theories. It features: a thorough treatment of quantization in polar coordinates; dequantization by a new method of "motes"; a di...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Dubin, D. A.
Otros Autores: Hennings, M. A. (Mark A.), 1959-, Smith, T. B. (Thomas Buckley)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore ; River Edge, NJ : World Scientific, ©2000.
Temas:
Geometric quantization.
Phase space (Statistical physics)
Weyl groups.
Quantum theory > Mathematics.
Quantification géométrique.
Espace des phases (Physique statistique)
Groupes de Weyl.
Théorie quantique > Mathématiques.
MATHEMATICS > Geometry > Differential.
Geometric quantization
Quantum theory > Mathematics
Weyl groups
Quantisierung > Physik
ELECTROMAGNETIC MEASUREMENT.
PHASE COHERENCE.
LASER BEAMS.
QUANTUM MECHANICS.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • pt. I. Fundamentals. ch. 1. Background
  • ch. 2. Some remarks on classical mechanics
  • ch. 3. The bounded model
  • ch. 4. The smooth model
  • ch. 5. Representations of the CCR
  • ch. 6. Probability in quantum mechanics
  • ch. 7. Dynamical systems
  • ch. 8. Weyl quantization
  • pt. II. Quantization and phase. ch. 9. Quantization in polar coordinates
  • ch. 10. Phase operators
  • ch. 11. The laser model
  • ch. 12. Weyl dequantization
  • ch. 13. The Moyal product
  • ch. 14. Ordered quantization
  • ch. 15. Asymptotics
  • ch. 16. Measurements.

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