A Novel Interpretation of the Klein-Gordon Equation
- Department of Physics, San Jose State University, San Jose, CA 95192-0106 (United States)
The relativistically-correct Klein-Gordon equation requires twice the boundary conditions of the non-relativistic Schroedinger equation and does not have an accepted configuration-space interpretation. Instead of interpreting its solution as a probability wave determined by an initial boundary condition, this paper considers the possibility that the solutions are determined by both an initial and a final boundary condition. By constructing a relativistically invariant probability weight from the size of the solution space, it is shown that the usual probability distributions can nearly be recovered in the non-relativistic limit. The non-exact results imply small but potentially measurable deviations from standard quantum mechanics.
- OSTI ID:
- 21039505
- Journal Information:
- AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 962; ISSN APCPCS; ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
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