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Spinors in Hilbert space

Author: P A M Dirac
Publisher: New York, Plenum Press [1974]
Edition/Format:   Print book : EnglishView all editions and formats
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Additional Physical Format: Online version:
Dirac, P.A.M. (Paul Adrien Maurice), 1902-1984.
Spinors in Hilbert space.
New York, Plenum Press [1974]
(OCoLC)624470076
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: P A M Dirac
ISBN: 0306307987 9780306307980
OCLC Number: 1032332
Notes: A series of lectures given in Miami in 1969 and revised in 1970.
Description: vi, 91 pages 24 cm
Contents: 1. Hilbert Space.- 2. Spinors.- Finite Number of Dimensions.- 3. Rotations in n Dimensions.- 4. Null Vectors and Null Planes.- 5. The Independence Theorem.- 6. Specification of a Null Plane without Its Coordinates.- 7. Matrix Notation.- 8. Expression of a Rotation in Terms of an Infinitesimal Rotation.- 9. Complex Rotations.- 10. The Noncommutative Algebra.- 11. Rotation Operators.- 12. Fixation of the Coefficients of Rotation Operators.- 13. The Ambiguity of Sign.- 14. Kets and Bras.- 15. Simple Kets.- Even Number of Dimensions.- 16. The Ket Matrix.- 17. The Two-Ket-Matrix Theorem.- 18. The Connection between Two Ket Matrices.- 19. The Representation of Kets.- 20. The Representative of a Simple Ket. General.- 21. The Representative of a Simple Ket. Special Cases.- 22. Fixation of the Coefficients of Simple Kets.- 23. The Scalar Product Formula.- Infinite Number of Dimensions.- 24. The Need for Bounded Matrices.- 25. The Infinite Ket Matrix.- 26. Passage from One Ket Matrix to Another.- 27. The Various Kinds of Ket Matrices.- 28. Failure of the Associative Law.- 29. The Fundamental Commutators.- 30. Boson Variables.- 31. Boson Emission and Absorption Operators.- 32. Infinite Determinants.- 33. Validity of the Scalar Product Formula.- 34. The Energy of a Boson.- 35. Physical Application.
Responsibility: [by] P.A.M. Dirac.

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