Artykuł w czasopiśmie
Brak miniatury
Licencja
ClosedAccessDostęp zamknięty
 

On radial Schrödinger operators with a Coulomb potential: general boundary conditions

Uproszczony widok
dc.abstract.enThis paper presents the spectral analysis of 1-dimensional Schro ̈dinger operator onthe half-line whose potential is a linear combination of theCoulomb term1/randthecentrifugal term1=r2. The coupling constants are allowed to be complex, and allpossible boundary conditions at 0 are considered. The resulting closed operators areorganized in three holomorphic families. These operators are closely related to theWhittaker equation. Solutions of this equation are thoroughly studied in a largeappendix to this paper. Various special cases of this equation are analyzed, namelythedegenerate, theLaguerreand thedoubly degeneratecases. A new solution to theWhittaker equation in the doubly degenerate case is also introduced.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorRichard, Serge
dc.contributor.authorNguyen, Quang Nhat
dc.contributor.authorFaupin, Jérémy
dc.contributor.authorDereziński, Jan
dc.date.accessioned2024-01-25T15:45:35Z
dc.date.available2024-01-25T15:45:35Z
dc.date.issued2020
dc.description.financePublikacja bezkosztowa
dc.description.number3
dc.description.volume5
dc.identifier.doi10.1007/S43036-020-00082-6
dc.identifier.issn2538-225X
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/114739
dc.identifier.weblinkhttp://link.springer.com/content/pdf/10.1007/s43036-020-00082-6.pdf
dc.languageeng
dc.pbn.affiliationphysical sciences
dc.relation.ispartofAdvances in Operator Theory
dc.relation.pages1132-1192
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.titleOn radial Schrödinger operators with a Coulomb potential: general boundary conditions
dc.typeJournalArticle
dspace.entity.typePublication