ON DIRAC'S WAVE EQUATION IN A GRAVITATIONAL FIELD,
Abstract
The Dirac equation is investigated in the combined electric and gravitational field of a point charge in General Relativity. The wave functions are weakly singular at the origin, but still normalizable for a continuous range of the energy. The Hamiltonian, however, is not self-adjoint over the manifold of its own eigenstates, though it can be made self-adjoint by a suitable choice of its domain of definition. The theory, however, it unable to decide how the Hamiltonian should be defined, and what are the bound states. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 20, 1963
- Accession Number
- AD0438948
Entities
People
- Asher Peres
Organizations
- Technion – Israel Institute of Technology