Quantum mechanics as applied mathematical statistics

Journal Article · Sun May 15 00:00:00 EDT 2011 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2010.09.010· OSTI ID:21579891

Skala, L ^[1]; Cizek, J ^[1]; Kapsa, V ^[1]

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1. Charles University, Faculty of Mathematics and Physics, Ke Karlovu 3, 121 16 Prague 2 (Czech Republic)

Basic mathematical apparatus of quantum mechanics like the wave function, probability density, probability density current, coordinate and momentum operators, corresponding commutation relation, Schroedinger equation, kinetic energy, uncertainty relations and continuity equation is discussed from the point of view of mathematical statistics. It is shown that the basic structure of quantum mechanics can be understood as generalization of classical mechanics in which the statistical character of results of measurement of the coordinate and momentum is taken into account and the most important general properties of statistical theories are correctly respected.

• OSTI ID: 21579891
• Journal Information: Annals of Physics (New York), Vol. 326, Issue 5; Other Information: DOI: 10.1016/j.aop.2010.09.010; PII: S0003-4916(10)00167-3; Copyright (c) 2010 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CLASSICAL MECHANICS
CONTINUITY EQUATIONS
CURRENT DENSITY
DENSITY
HAMILTON-JACOBI EQUATIONS
KINETIC ENERGY
PROBABILITY
QUANTUM MECHANICS
SCHROEDINGER EQUATION
STATISTICAL MODELS
STATISTICS
WAVE FUNCTIONS
DIFFERENTIAL EQUATIONS
ENERGY
EQUATIONS
FUNCTIONS
MATHEMATICAL MODELS
MATHEMATICS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
PHYSICAL PROPERTIES
WAVE EQUATIONS