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Universal elementary constituents of potential transformations shifting waves (qualitative theory)
Author(s) -
Chabanov V. M.,
Zakhariev B. N.,
Sofianos S. A.
Publication year - 1997
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19975090204
Subject(s) - bound state , physics , scattering , spectrum (functional analysis) , wave function , perturbation (astronomy) , continuous spectrum , perturbation theory (quantum mechanics) , scattering theory , space (punctuation) , quantum mechanics , philosophy , linguistics
It is shown that the potential perturbation that shifts a chosen standing wave in space is a block of potential barrier and well for every wave bump between neighbouring knots. The algorithms shifting the range of the primary localization of a chosen bound state in a potential well of finite width are as well applicable to the scattering functions if states of the continuous spectrum are considered as bound states normalized to unity but distributed on an infinite interval with vanishing density. The potential perturbations of the same type on the half‐axis concentrate the scattering wave at the origin, thus creating a bound state embedded into the continuous spectrum (zero width resonance).