Abstract
New exact quasi-classical asymptotic of solutions to the n-dimensional Schrödinger equation beyond WKB-theory and beyond Maslov's canonical operator theory is presented. Quantum jump nature is considered successfully. We pointed out that an explanation of quantum jumps can be found to result from Colombeau solutions of the Schrödinger equation alone without additional postulates. Such jumps, does not depend on any single measurement of particle position q(t) at instant t and completely obtained only from Schrodinger equation, without reference to any phenomenological master-equation of Lindblad form.
Highlights
A number of experiments on trapped singleions or atoms have been performed in recent years [1]-[5]
Monitoring the intensity of scattered laser light off of such systems has shown abrupt changes that have been cited as evidence of "quantum jumps" between states of the scattered ion or atom
We pointed out that there exist limiting quantum trajectories given via Eq (1.3) with a jump. Such jumps does not depend on any single measurement of particle position ݍሺݐሻ at instant ݐand obtained without any reference to a phenomenological master-equation of Lindblad form
Summary
- Supersymmetric Methods in Quantum, Statistical and Solid State Physics: Quasiclassical approximation G Junker. - Quantization of closed orbits in Dirac theory by Maslov's complex germ method V G Bagrov, V V Belov, A Yu Trifonov et al. This content was downloaded from IP address 188.120.129.48 on 17/09/2019 at 20:06. 4th International Conference on Mathematical Modeling in Physical Sciences (IC-MSquare2015) IOP Publishing. Journal of Physics: Conference Series 633 (2015) 012036 doi:10.1088/1742-6596/633/1/012036. J Foukzon, E Men’kova, A Potapov, S Podosenov4 1Department of mathematics, Israel Institute of Technology, Haifa, Israel
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