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Source identity and kernel functions for Inozemtsev-type systems
KTH, School of Engineering Sciences (SCI), Theoretical Physics, Mathematical Physics.
2012 (English)In: Journal of Mathematical Physics, ISSN 0022-2488, E-ISSN 1089-7658, Vol. 53, no 8, 082105- p.Article in journal (Refereed) Published
Abstract [en]

The Inozemtsev Hamiltonian is an elliptic generalization of the differential operator defining the BCN trigonometric quantum Calogero-Sutherland model, and its eigenvalue equation is a natural many-variable generalization of the Heun differential equation. We present kernel functions for Inozemtsev Hamiltonians and Chalykh-Feigin-Veselov-Sergeev-type deformations thereof. Our main result is a solution of a heat-type equation for a generalized Inozemtsev Hamiltonian which is the source of all these kernel functions. Applications are given, including a derivation of simple exact eigenfunctions and eigenvalues of the Inozemtsev Hamiltonian.

Place, publisher, year, edition, pages
2012. Vol. 53, no 8, 082105- p.
Keyword [en]
Calogero-Sutherland Model, Many-Body Systems, Integrable Systems, Heun Equation, Lie-Algebras, Transformation, Polynomials, Separation, Quantum, Ansatz
National Category
Physical Sciences
URN: urn:nbn:se:kth:diva-104259DOI: 10.1063/1.4745001ISI: 000308409400005ScopusID: 2-s2.0-84865796888OAI: diva2:563948
Swedish Research Council, 621-2010-3708

QC 20121101

Available from: 2012-11-01 Created: 2012-10-31 Last updated: 2012-11-01Bibliographically approved

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Langmann, Edwin
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