Kuryshkin-Wodkiewicz quantum measurement model for alkaline metal atoms

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Abstract


The constructive form of the Kuryshkin-Wodkiewicz model of quantum measurements was earlier developed in detail for the quantum Kepler problem. For more complex quantum objects, such a construction is unknown. At the same time, the standard (non-constructive) model of Holevo-Helstrom quantum measurements is suitable for any quantum object. In this work, the constructive model of quantum measurements is generalized to a wider class of quantum objects, i.e., the optical spectrum of atoms and ions with one valence electron. The analysis is based on experimental data on the energy ordering of electrons in an atom according to the Klechkovsky-Madelung rule and on the substantiation of a single-particle potential model for describing the energy spectrum of optical electrons in alkali metal atoms. A representation of the perturbation of a single-particle potential in the form of a convolution of the potential of an electron in a hydrogen atom with the Wigner function of a certain effective state of the core in an alkali metal atom representation allows reducing all calculation algorithms for alkali metals to the corresponding algorithms for the hydrogen atom.

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Introduction The energy spectrum

About the authors

Alexander V. Zorin

Peoples’ Friendship University of Russia (RUDN University)

Email: zorin-av@rudn.ru
6, Miklukho-Maklaya St., Moscow, 117198, Russian Federation
Candidate of Physical and Mathematical Sciences, assistant professor of Department of Applied Probability and Informatics

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