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Teoreticheskaya i Matematicheskaya Fizika, 2014, Volume 181, Number 2, Pages 322–336
DOI: https://doi.org/10.4213/tmf8719 (Mi tmf8719) 		 
Alternative descriptions of physical systems based on perturbation theory

V. A. Franke, V. Tcendrovskii

St. Petersburg State University, St. Petersburg, Russia
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DOI: https://doi.org/10.4213/tmf8719
Abstract: In quantum physics, the perturbation theory up to some finite order in the coupling constant contains a nonpositive-definite scalar product of physical wave functions or a nonunitary evolution of states. It cannot therefore be considered a consistent theory describing reality. This problem can be solved by modifying the scalar product of wave functions and the multiplication of dynamical variables. The obtained solutions can be used for an alternative description of quantum physical systems that agrees with experiment within the prescribed accuracy.
Keywords: unitary evolution, positive probability, perturbation theory.
Received: 29.05.2014
English version:
Theoretical and Mathematical Physics, 2014, Volume 181, Issue 2, Pages 1405–1417
DOI: https://doi.org/10.1007/s11232-014-0221-7
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. A. Franke, V. Tcendrovskii, “Alternative descriptions of physical systems based on perturbation theory”, TMF, 181:2 (2014), 322–336; Theoret. and Math. Phys., 181:2 (2014), 1405–1417
Citation in format AMSBIB
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