A number of quasiexactly solvable N-body problems
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Publication:4701518
DOI10.1063/1.532593zbMath0986.81121arXivquant-ph/9803003OpenAlexW3099733996MaRDI QIDQ4701518
Avinash Khare, Bhabani Prasad Mandal
Publication date: 21 November 1999
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/quant-ph/9803003
orthogonal setBender-Dunne polynomialsCalogero-Marchioro-typeCalogero-Sutherland-typequasiexactly solvable \(N\)-body problems
Related Items (4)
QES SYSTEMS, INVARIANT SPACES AND POLYNOMIALS RECURSIONS ⋮ Quasi-exactly solvable hyperbolic potential and its anti-isospectral counterpart ⋮ Any ℓ-state solutions of the Hulthén potential in arbitrary dimensions ⋮ A new construction of quasi-solvable quantum many-body systems of deformed Calogero-Sutherland type
Cites Work
- Do quasi-exactly solvable systems always correspond to orthogonal polynomials?
- A quantum many-body problem in two dimensions: ground state.
- QUASI-EXACTLY SOLVABLE MULTI-DIMENSIONAL SCHRÖDINGER EQUATIONS
- Bender–Dunne Orthogonal Polynomials General Theory
- Anti-Isospectral Transformations in Quantum Mechanics
- Novel correlations in two dimensions: Two-body problem
- Anti-isospectral transformations, orthogonal polynomials, and quasi-exactly solvable problems
- Quasi-exactly solvable systems and orthogonal polynomials
- Quasi-exactly solvable potentials on the line and orthogonal polynomials
- Exact bound states of some N-body systems with two- and three-body forces
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