Quantum Theory with Statistical Interpretation The Hydrogen-Like Atom Problem

Article type: Research Article

Authors: Zhidkov, E.P.^a | Zorin, A.V.^{b; *}

Affiliations: [a] Information Technology Laboratory, Joint Institute for Nuclear Research, Dubna 141980, Russia | [b] Computational Physics laboratory, Peoples' Friendship University of Russia, Moscow, Russia

Correspondence: [*] Corresponding author: A.V. Zorin, Computational Physics Laboratory, Peoples' Friendship University of Russia, ul. Miklukho – Maklaya, 6, 117198, Moscow, Russia. Tel. 7-095-955 07 83. Fax 7-095-952 25 72. E-mail: [email protected].

Abstract: In the paper the energy spectrum of the hydrogen like atom in the quantum mechanics with the non negative quantum distribution function (QDF) is studied. The essential spectrum of the Hamiltonian has been calculated. As for the eigenvalues situated beyond the essential spectrum, a method for numerical evaluation of their numbers and values is proposed.

Keywords: Hydrogen like atom, quantum distribution function, generalizations of quantum mechanics, interpretations of quantum mechanics, energy spectrum, eigenvalues

DOI: 10.3233/JCM-2002-21-240

Journal: Journal of Computational Methods in Sciences and Engineering, vol. 2, no. 1-2, pp. 293-307, 2002