Algebraic approach to the eigenstates of the quantum Calogero model confined in an external harmonic well

DOI10.1016/0960-0779(94)00151-FzbMath0824.58055MaRDI QIDQ1893446

Hideaki Ujino, Miki Wadati

Publication date: 3 July 1995

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

zbMATH Keywords

integrabilityeigenstatesquantum many-body problemquantum inverse scatteringquantum Calogero modelexternal harmonic well

Mathematics Subject Classification ID

Model quantum field theories (81T10) Applications of global analysis to the sciences (58Z05) Inverse scattering problems in quantum theory (81U40) Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items (1)

Symmetric Fock space and orthogonal symmetric polynomials associated with the Calogero model

Cites Work

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• Quantum integrable systems
• Integrability and algebraic structure of the quantum Calogero-Moser model
• Integrable extensions of the rational and trigonometric \(A_N\) Calogero-Moser potentials
• The Calogero model---anyonic representation, fermionic extension and supersymmetry
• Infinite Symmetry of the Spin Systems with Inverse Square Interactions
• The Quantum Calogero-Moser Model: Algebraic Structures
• 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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