0101842 - UJF-V 20043009 RIV GB eng J - Journal Article
Znojil, Miloslav
Low-lying spectra in anharmonic three-body oscillators with a strong short-range.
[Nízko ležící spektra anharmonických tříčásticových oscilátorů se silnou interakcí krátkého dosahu.]
Journal of Physics. A - Mathematical and General Physics. Roč. 36, č. 38 (2003), s. 9929-9941. ISSN 0305-4470
R&D Projects: GA AV ČR IAA1048302
Institutional research plan: CEZ:AV0Z1048901
Keywords : three-body Schrodinger equation * limit * large repulsion
Subject RIV: BE - Theoretical Physics
Impact factor: 1.357, year: 2003

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.

Je studována tříčásticová Schrödingerova rovnice s kombinací potenciálů dalekého a krátkého dosahu.
Permanent Link: http://hdl.handle.net/11104/0009235