title: Asymptotic behavior of the generalized quantum mechanical two Coulomb centers problem
metadata.name: dc.contributor.author
metadata.value: Puchkov, Andrey M.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2018-09-13T15:42:00Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2018-09-13T15:42:00Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2018-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Puchkov A.M. Asymptotic behavior of the generalized quantum mechanical two Coulomb centers problem. Vestnik of Saint Petersburg University. Physics and Chemistry. 2018. Vol. 5 (63), iss. 2. P. 97–105
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu04.2018.203
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/14805
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In this paper, we obtain asymptotic formulas for the eigenfunctions and terms of the quantum
  generalized problem of two Coulomb centers. For this purpose, we used the quasiclassical approximation,
  perturbation theory, and the method of reference equations. It is shown that results of
  different methods in asymptotic regions R → 0 and R →∞ are in a good agreement with each
  other. An interesting effect of the degeneration of the energy spectrum with an increase in the
  inter-center distance parameter R is obtained. Possible applications in physics are related to the
  description of one-electron states in potential models which take into account the 3D-structure
  of nano-objects of a ring-like and spheroidal shape as well as Rydberg-like states of electrons in
  ring molecules.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Physics and Chemistry;Volume 5(63); Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: two-Coulomb-center problem
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: potential models
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Asymptotic behavior of the generalized quantum mechanical two Coulomb centers problem
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 03_Puchkov.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/14805/1/03_Puchkov.pdf
resources.format: Adobe PDF
resources.size: 251,66 kB