Wave model for conservative bound systems
- Laser Department, Institute of Atomic Physics, National Institute for Laser, Plasma and Radiation Physics, P.O. Box MG-36, Bucharest, Magurele 077125 (Romania)
In the hidden variable theory, Bohm proved a connection between the Schroedinger and Hamilton-Jacobi equations and showed the existence of classical paths, for which the generalized Bohr quantization condition is valid. In this paper we prove similar properties, starting from the equivalence between the Schroedinger and wave equations in the case of the conservative bound systems. Our approach is based on the equations and postulates of quantum mechanics without using any additional postulate. Like in the hidden variable theory, the above properties are proven without using the approximation of geometrical optics or the semiclassical approximation. Since the classical paths have only a mathematical significance in our analysis, our approach is consistent with the postulates of quantum mechanics.
- OSTI ID:
- 20722942
- Journal Information:
- Journal of Chemical Physics, Vol. 122, Issue 24; Other Information: DOI: 10.1063/1.1943387; (c) 2005 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0021-9606
- Country of Publication:
- United States
- Language:
- English
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