Low-lying spectra in anharmonic three-body oscillators with a strong short-range

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SYSNO ASEP	0101842
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Ostatní články
Title	Low-lying spectra in anharmonic three-body oscillators with a strong short-range
Title	Nízko ležící spektra anharmonických tříčásticových oscilátorů se silnou interakcí krátkého dosahu
Author(s)	Znojil, Miloslav (UJF-V)_{RID, ORCID, SAI}
Source Title	Journal of Physics. A - Mathematical and General Physics - ISSN 0305-4470 Roč. 36, č. 38 (2003), s. 9929-9941
Number of pages	12 s.
Language	eng - English
Country	GB - United Kingdom
Keywords	three-body Schrodinger equation ; limit ; large repulsion
Subject RIV	BE - Theoretical Physics
R&D Projects	IAA1048302 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
CEZ	AV0Z1048901 - UJF-V
Annotation	One-dimensional three-body Schrödinger equation is studied with binding mediated by the power-law two-body long-range attraction V-(L) (x) = alpha(2)x(L) in superposition with a short-range repulsion V(-K)(x) = beta(2)/x(K) (plus, possibly, further subdominant power-law components). Such an unsolvable and nonseparable generalization of Calogero model (where one had L = K = 2) is shown to become separable and solvable at all integers K > 0 and L > 0 in the limit of the large repulsion beta much greater than 1.
Workplace	Nuclear Physics Institute
Contact	Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228
Year of Publishing	2005

Number of the records: 1