Premium
Integral equations and complex resonance energies for analytical potentials
Author(s) -
Kapshai V.,
Alferova Tatjana,
Elander Nils
Publication year - 2006
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.21229
Subject(s) - formalism (music) , integral equation , bound state , complex plane , schrödinger equation , scaling , physics , quantum , summation equation , mathematical physics , quantum mechanics , mathematics , mathematical analysis , classical mechanics , geometry , art , musical , visual arts
It is shown that the Volterra integral equation in combination with complex scaling gives a formalism capable to solve Schrödinger‐type problems concerning bound states and resonances. The regular solution of the Schrödinger equation presented at the Volterra integral equation allows us to define the explicit form of the Jost function analytically continued into the lower half complex momentum plane. The resulting formalism is used to develop a numerical method for finding resonances defined as zeros of the Jost function. The numerical method is tested on several analytical potentials; it gives good results for arbitrary orbital momentum l . © 2006 Wiley Periodicals, Inc. Int J Quantum Chem, 2007