Paper Info
Title
Computer modeling of hydrogen-like atoms in quantum mechanics with nonnegative distribution function
Abstract
An algorithm for describing operator structures and calculating energy levels for hydrogen-like atoms in the quantum mechanics with nonnegative distribution function (Kuryshkin's quantum mechanics) is developed. The algorithm is implemented in Maple. An original library of necessary functions and quantities (Coulomb wave functions, Sturm functions, their Fourier images and kernels of integral transformations, Clebsch-Gordan coefficients, products of spherical harmonics, etc.) has been created. In accordance with the quantization rules in Kuryshkin's quantum mechanics, operators of observable quantities are computed. Based on the Hamiltonian obtained, energy levels of a hydrogen-like atom are calculated by the Ritz method (in the basis of Sturm functions). Numerical values of model parameters are determined by comparing results obtained with experimental data for hydrogen and alkali metals taken from the NIST Atomic Spectra Database Levels Data library.
Year
DOI
Venue
2007
10.1134/S0361768807020077
Programming and Computer Software
Keywords
Field
DocType
nonnegative distribution function,energy level,quantum mechanic,ritz method,nist atomic spectra database,clebsch-gordan coefficient,fourier image,original library,sturm function,levels data library,computer modeling,hydrogen-like atom,quantum mechanics,energy levels,alkali metals,computer model,spherical harmonic,distribution function,integral transforms
Sum rule in quantum mechanics,Quantum statistical mechanics,Degenerate energy levels,Quantum mechanics,Wave function,First quantization,Quantum algorithm,Quantum number,Supersymmetric quantum mechanics,Mathematics
Journal
Volume
Issue
ISSN
33
2
1608-3261
Citations 
PageRank 
References 
2
0.49
0
Authors
3
Name
Order
Citations
PageRank
A. V. Zorin120.83
Leonid A. Sevastianov245.07
N. P. Tretyakov320.49