New exact quasi-classical asymptotic beyond WKB approximation and beyond Maslov formal expansion

4th International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Foukzon, J.^1 ; Men'Kova, E.^2 ; Potapov, A.^3 ; Podosenov, S.^2

Department of Mathematics, Israel Institute of Technology, Haifa, Israel^1

All-Russian Research Institute for Optical and Physical Measurements, Moscow, Russia^2

Kotel'Nikov Institute of Radioengineering and Electronics of the Russian Academy of Sciences, Moscow, Russia^3

关键词: Dinger equation;    Lindblad;    Master equations;    Measurement of particles;    Operator theory;    Quantum jumps;    WKB approximations;    WKB theory;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/633/1/012036/pdf
DOI  :  10.1088/1742-6596/633/1/012036

来源: IOP

【 摘 要 】

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.