Matrix Calogero-Sutherland Hamiltonians and the multi-dimensional Darboux transformation

DOI10.1016/S0393-0440(98)00054-0zbMath0930.35145MaRDI QIDQ1301343

V. Pereyra

Publication date: 9 February 2000

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

matrix Calogero-Sutherland Hamiltoniansmultidimensional Darboux transformation

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Many-body theory; quantum Hall effect (81V70) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Cites Work

• Supersymmetry and Morse theory
• The multidimensional Darboux transformation
• A recursion and a combinatorial formula for Jack polynomials
• Exact operator solution of the Calogero-Sutherland model
• EXACT SOLVABILITY OF THE CALOGERO AND SUTHERLAND MODELS
• Erratum: Solution of the one-dimensional N-body problems with quadratic and/or inversely quadratic pair potentials [J. Math. Phys. 12, 419–436 (1971)]

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