On the Completeness Problem for the Eigenfunction Formulae of Relativistic Quantum Mechanics
Journal Article
·
· Proceedings of the Royal Society. A. Mathematical, Physical and Engineering Sciences
Dirac's theory of relativistic quantum mechanics leads to the problem of solving a set of four partial differential equations for the four components of the wave function. Solutions of these equations in the case where the potential is a function of the radial co-ordinate only were obtained by Darwin. It is proved that these solutions form a complete set in the sense that we can simultaneously expand four arbitrary functions in terms of them.
- Research Organization:
- Originating Research Org. not identified
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-15-028225
- OSTI ID:
- 4841572
- Journal Information:
- Proceedings of the Royal Society. A. Mathematical, Physical and Engineering Sciences, Vol. 262, Issue 1311; Other Information: Orig. Receipt Date: 31-DEC-61; ISSN 1364-5021
- Publisher:
- The Royal Society Publishing
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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