Exact Heisenberg operator solutions for multiparticle quantum mechanics

DOI10.1063/1.2771544zbMath1152.81574arXiv0706.0768OpenAlexW3100572953MaRDI QIDQ3544384

Ryu Sasaki, Satoru Odake

Publication date: 8 December 2008

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.0768

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Other hypergeometric functions and integrals in several variables (33C70) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Groups and algebras in quantum theory and relations with integrable systems (81R12)

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Cites Work

• Three integrable Hamiltonian systems connected with isospectral deformations
• Quantum Calogero-Moser models: integrability for all root systems
• Calogero-Moser Models. V: Supersymmetry and Quantum Lax Pair
• Explicit solutions of the classical Calogero and Sutherland systems for any root system
• Unified theory of annihilation-creation operators for solvable (“discrete”) quantum mechanics
• Integrability of difference Calogero–Moser systems
• The Quantum Calogero-Moser Model: Algebraic Structures
• Super Lax pairs and infinite symmetries in the 1/<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="italic">r</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>system