Geodesic
Natural space of the micro-object
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 3 (2011), pp. 117-128

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The immutability of classical dynamical laws for the microscopic object in the space which coordinate axes are the transition matrix elements of the corresponding coordinates is proved. It is stated that measurement is a micro-object localization process in the classical space when it interacts with the device. The description of the wave function reduction is obtained using the path integrals. The mechanism of the probability arising on measurement is offered, where the “hidden parameter” that is the cause of the measurement randomness of microscopic characteristics relates to the interaction process of classical instrument with micro-object. Both types of quantum mechanics processes — evolution and reduction of the wave functions — are described in a unified approach.
Mots-clés : transition matrix elements
Keywords: path integral, microscopic natural space, the principle of the minimal action, the wave function reduction, hidden parameter, non-locality of the measurement process. 
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     author = {A. Yu. Samarin},
     title = {Natural space of the micro-object},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
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     year = {2011},
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     url = {http://geodesic.mathdoc.fr/item/VSGTU_2011_3_a11/}
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A. Yu. Samarin. Natural space of the micro-object. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 3 (2011), pp. 117-128. http://geodesic.mathdoc.fr/item/VSGTU_2011_3_a11/