2024-03-28T19:27:37Z
https://soar-ir.repo.nii.ac.jp/oai
oai:soar-ir.repo.nii.ac.jp:00011683
2022-12-14T04:09:56Z
1169:1170
Multiparticle quasiexactly solvable difference equations
Odake, Satoru
Sasaki, Ryu
Several explicit examples of multiparticle quasiexactly solvable “discrete” quantum mechanical Hamiltonians are derived by deforming the well-known exactly solvable multiparticle Hamiltonians, the Ruijsenaars-Schneider-van Diejen systems. These are difference analogs of the quasiexactly solvable multiparticle systems, the quantum Inozemtsev systems obtained by deforming the well-known exactly solvable Calogero-Sutherland systems. They have a finite number of exactly calculable eigenvalues and eigenfunctions. This paper is a multiparticle extension of the recent paper by one of the authors [R. Sasaki, J. Math. Phys.48, 122104 (2007)] on deriving quasiexactly solvable difference equations of single degree of freedom.
Article
JOURNAL OF MATHEMATICAL PHYSICS. 48(12):122105 (2007)
journal article
AMER INST PHYSICS
2007-12
application/pdf
JOURNAL OF MATHEMATICAL PHYSICS
12
48
122105
0022-2488
AA00701758
https://soar-ir.repo.nii.ac.jp/record/11683/files/Multiparticle_quasiexactly_solvable_difference.pdf
eng
10.1063/1.2818561
https://doi.org/10.1063/1.2818561
© 2007 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in JOURNAL OF MATHEMATICAL PHYSICS. 48(12):122105 (2007) and may be found at https://doi.org/10.1063/1.2818561