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Teoreticheskaya i Matematicheskaya Fizika, 2006, Volume 147, Number 3, Pages 479–486
DOI: https://doi.org/10.4213/tmf1989 (Mi tmf1989) 		 
A geometric approach to the canonical reformulation of quantum mechanics

M. Mehrafarin

Amirkabir University of Technology
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DOI: https://doi.org/10.4213/tmf1989
Abstract: The measure of distinguishability between two neighboring preparations of a physical system by a measurement device naturally defines a line element on the preparation space of the system. We show that quantum mechanics can be derived from the invariance of this line element in the canonical formulation. We also discuss the canonical formulation of quantum statistical mechanics.
Keywords: preparation, distinguishability metric, measurement device, canonical quantum mechanics.
Received: 21.11.2005
English version:
Theoretical and Mathematical Physics, 2006, Volume 147, Issue 3, Pages 847–853
DOI: https://doi.org/10.1007/s11232-006-0080-y
Bibliographic databases:
Language: Russian
Citation: M. Mehrafarin, “A geometric approach to the canonical reformulation of quantum mechanics”, TMF, 147:3 (2006), 479–486; Theoret. and Math. Phys., 147:3 (2006), 847–853
Citation in format AMSBIB
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