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Harmonium
Author(s) -
Karwowski J.,
Cyrnek L.
Publication year - 2004
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.200310071
Subject(s) - citation , computer science , information retrieval , library science
The eigenvalue problem of a Hamiltonian describing two interacting particles confined by an external harmonic‐oscillator potential is analyzed. If the particles are identical, the system is referred to as harmonium . Harmonium belongs to very few non‐trivial two‐particle systems for which the Schrödinger equation is not only separable but also, for several interaction potentials and for a set of the coupling constants, quasi‐exactly solvable. In particular, the complete spectrum of harmonium has been obtained and analyzed. Also some aspects or relativistic generalizations of the model are briefly discussed.