Model of Hydrogen Atom Quantum Measurements on Rigged Hilbert Spaces

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Abstract


The measurement procedure makes the isolated (closed) quantum system to be the open one. The operators of observables of rather simple explicit form are converted into pseudo-differential operators of more complex form. The author has proposed the method of establishing consistency between the theoretical data of conventional quantum mechanics of (isolated) quantum objects and experimental data on the measured values of the observables of corresponding open quantum objects. In this paper, the proposed correspondence is used for the construction of rigged Hilbert spaces, in which the operators of measured the observables of hydrogen-like atom admit spectral decomposition.

A V Zorin

Peoples’ Friendship University of Russia

Email: zorin@rudn.ru

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Copyright (c) 2015 Зорин А.В.

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