Kuryshkin-Wodkiewicz Model of Quantum Measurements for Atoms and Ions with One Valence Electron

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Abstract


The structural form of the Kuryshkin-Wodkiewicz model of quantum measurement was developed in detail for quantum Kepler problem. For more complex objects such quantumstructure is unknown. At the same time, a standard (non-structural) model of quantum measurement proposed by Holevo-Helstrom is suitable for any quantum object. The aim of thiswork is to spread the structural model of quantum measurement to a broader class of quantum objects - a model of quantum measurements of optical spectra of atoms and ions with one valence electron. In this work the Kuryshkin-Wodkiewicz model with implementation of Weyl-Kuryshkin quantization rule is applied to the extended quantum Kepler problem of quantum systems with one valence electron, such as alkali metal atoms. The proof of the consistency of the model is based on two Kato theorems about compact perturbations of operators. In the proof process the explicit form of the discrete spectrum of the valence electron for various spectral series was achieved with dependence on the serial parameters of the disturbance spectrum of an isolated object in the process of quantum measurement.

A V Gorbachev

Peoples’ Friendship University of Russia

Email: alexarus1986@gmail.com

A V Zorin

Peoples’ Friendship University of Russia

Email: zorin@rudn.ru

L A Sevastianov

Peoples’ Friendship University of Russia

Email: leonid.sevast@gmail

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Copyright (c) 2016 Горбачев А.В., Зорин А.В., Севастьянов Л.А.

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