Quantum generalized Calogero-Moser systems from free Hamiltonian reduction

DOI10.1016/J.PHYSD.2023.133908arXiv2211.05751OpenAlexW4386567711MaRDI QIDQ6090649

Marek M. Kuś, Katarzyna Kowalczyk-Murynka

Publication date: 17 November 2023

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.05751

zbMATH Keywords

Hamiltonian reductionquantum many-body systemsCalogero-Moser modelsinverse-square interactions

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Hamilton's equations (70H05) Spectrum, resolvent (47A10) Spinor and twistor methods applied to problems in quantum theory (81R25) Many-body theory; quantum Hall effect (81V70) Unitary representations of locally compact groups (22D10) Momentum maps; symplectic reduction (53D20) Canonical quantization (81S08)

Cites Work

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• REDUCTION PROCEDURES IN CLASSICAL AND QUANTUM MECHANICS
• Hamiltonian group actions and dynamical systems of calogero type
• Erratum: Solution of the one-dimensional N-body problems with quadratic and/or inversely quadratic pair potentials [J. Math. Phys. 12, 419–436 (1971)]
• Analytical results for a Bessel function times Legendre polynomials class integrals

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