EXCHANGE OPERATOR FORMALISM FOR AN INFINITE FAMILY OF SOLVABLE AND INTEGRABLE QUANTUM SYSTEMS ON A PLANE

DOI10.1142/S0217732310032202zbMath1184.81072arXiv0910.2151OpenAlexW2008466890MaRDI QIDQ3553544

Christiane Quesne

Publication date: 21 April 2010

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.2151

zbMATH Keywords

integrabilityquantum Hamiltoniansexchange operators

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Partial functional-differential equations (35R10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (5)

Pairs of commuting quadratic elements in the universal enveloping algebra of Euclidean algebra and integrals of motion* ⋮ The quantum harmonic oscillator with icosahedral symmetry and some explicit wavefunctions ⋮ The \(B_2\) harmonic oscillator with reflections and superintegrability ⋮ Rationally-extended Dunkl oscillator on the line ⋮ COMMENTS ON DIHEDRAL AND SUPERSYMMETRIC EXTENSIONS OF A FAMILY OF HAMILTONIANS ON A PLANE

Cites Work

• Trigonometric identities, angular Schrödinger equations and a new family of solvable models
• EXCHANGE OPERATORS AND THE EXTENDED HEISENBERG ALGEBRA FOR THE THREE-BODY CALOGERO-MARCHIORO-WOLFES PROBLEM
• Calogero-Moser Models. V: Supersymmetry and Quantum Lax Pair
• An infinite family of solvable and integrable quantum systems on a plane
• Exchange operator formalism for integrable systems of particles

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