publication . Article . Preprint . 2002

Quantum Systems Related to Root Systems, and Radial Parts of Laplace Operators

Olshanetsky, M. A.; Perelomov, A. M.;
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  • Published: 18 Mar 2002 Journal: Functional Analysis and Its Applications, volume 12, pages 121-128 (issn: 0016-2663, eissn: 1573-8485, Copyright policy)
  • Publisher: Springer Science and Business Media LLC
Abstract
Comment: an old paper (1978) posted for archival purposes
Subjects
free text keywords: Applied Mathematics, Analysis, Triple system, Topology, Mathematics, Laplace transform, Operator (computer programming), Inverse Laplace transform, Functional analysis, Bounded function, Root system, Mathematical analysis, Quantum, Mathematical Physics
Related Organizations
19 references, page 1 of 2

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[2] Gel'fand, I.M., Spherical functions on symmetric Riemann spaces, Dokl. Akad. Nauk SSSR 70, No.1, 5-8 (1950)

[3] Berezin, F.A., Laplace operators on semisimple Lie groups, Tr. Mosk. Mat. Ob-va 6, 371-463 (1957)

[4] Berezin, F.A. and Karpelevich, F.I., Zonal spherical functions and Laplace operators on certain symmetric spaces, Dokl. Akad. Nauk SSSR 118, No.1, 9-12 (1958)

[5] Olshanetsky, M.A. and Perelomov, A.M., Completely integrable Hamiltonian systems connected with semisimple Lie algebras, Invent. Math. 37, 93-108 (1976)

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[11] Gambardella, P.J., Exact results in quantum many-body systems of interacting particles, J. Math. Phys. 16, 1172-1187 (1975)

[12] Moshinsky, M. and Patera, J., Canonical transformations and accidental degeneracy, IV, J. Math. Phys. 16, 1866-1875 (1975)

[13] Calogero, F., Marchioro, C. and Ragnisco, O., Exact solution of the classical and quantal one-dimensional many-body problem, Lett. Nuovo Cim. 13, 383-388 (1975)

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19 references, page 1 of 2
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publication . Article . Preprint . 2002

Quantum Systems Related to Root Systems, and Radial Parts of Laplace Operators

Olshanetsky, M. A.; Perelomov, A. M.;