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Calculation of bound‐state energies from a variational functional method
Author(s) -
Fernández Francisco M.,
Arteca Gustavo A.,
Castro Eduardo A.
Publication year - 1984
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560250607
Subject(s) - bounded function , bound state , harmonic oscillator , variational method , hydrogen atom , variety (cybernetics) , quantum , atom (system on chip) , state (computer science) , physics , harmonic , upper and lower bounds , quantum mechanics , spectrum (functional analysis) , mathematics , mathematical analysis , computer science , group (periodic table) , algorithm , statistics , embedded system
A variational functional method is improved and generalized in order to obtain approximate bound‐state energies of a wide variety of quantum‐mechanical systems. Calculations on the discrete spectrum of the hydrogen atom in a magnetic field and the bounded harmonic oscillator show that the procedure is very promising.