Spinors in Hilbert Space [E-Book] / by P. A. M. Dirac.
1. Hilbert Space The words "Hilbert space" here will always denote what math ematicians call a separable Hilbert space. It is composed of vectors each with a denumerable infinity of coordinates ql' q2' Q3, .... Usually the coordinates are considered to be complex numbers and eac...
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Full text |
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Personal Name(s): | Dirac, P. A. M., author |
Imprint: |
Boston, MA :
Springer,
1974
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Physical Description: |
VII, 91 p. online resource. |
Note: |
englisch |
ISBN: |
9781475700343 |
DOI: |
10.1007/978-1-4757-0034-3 |
Subject (LOC): |
- 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.