A novel interpretation of the Klein-Gordon equation
| Autor: | K. B. Wharton, Guillaume Adenier, Andrei Yu. Khrennikov, Pekka Lahti, Vladimir I. Man'ko, Theo M. Nieuwenhuizen |
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| Jazyk: | angličtina |
| Rok vydání: | 2007 |
| Předmět: |
High Energy Physics - Theory
Quantum Physics Mathematical analysis FOS: Physical sciences General Physics and Astronomy Boundary (topology) General Relativity and Quantum Cosmology (gr-qc) Invariant (physics) General Relativity and Quantum Cosmology Schrödinger equation symbols.namesake Measurement theory High Energy Physics - Theory (hep-th) Probability amplitude Master equation Two-body Dirac equations symbols Relativistic wave equations Probability distribution Boundary value problem Quantum Physics (quant-ph) Wave function Klein–Gordon equation Mathematical physics Mathematics |
| Popis: | The covariant Klein-Gordon equation requires twice the boundary conditions of the Schrodinger equation and does not have an accepted single-particle 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 an invariant joint probability distribution from the size of the solution space, it is shown that the usual measurement probabilities can nearly be recovered in the non-relativistic limit, provided that neither boundary constrains the energy to a precision near hbar/T (where T is the time duration between the boundary conditions). Otherwise, deviations from standard quantum mechanics are predicted. v3: Extensively revised version accepted for publication by Found. Phys |
| Databáze: | OpenAIRE |
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