Exact solution of D N-type quantum Calogero model through a mapping to free harmonic oscillators

DOI10.1063/1.3589957zbMath1317.81180arXiv1012.4342OpenAlexW3101064252MaRDI QIDQ5265981

Pratyay Banerjee, Bireswar Basu-Mallick

Publication date: 29 July 2015

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

Full work available at URL: https://arxiv.org/abs/1012.4342

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Quantum optics (81V80) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Stochastic quantization (81S20)

Related Items (1)

Pseudo-bosons for the \(D_2\) type quantum Calogero model

Cites Work

• Unnamed Item
• Operator equations and Moyal products-metrics in quasi-Hermitian quantum mechanics
• The Calogero-Sutherland model and polynomials with prescribed symmetry
• Exactly solvable \(D_N\)-type quantum spin models with long-range interaction
• Quasi-Hermitian operators in quantum mechanics and the variational principle
• The Calogero-Sutherland model and generalized classical polynomials
• Confluent hypergeometric orthogonal polynomials related to the rational quantum Calogero system with harmonic confinement
• Yangian symmetry and Virasoro character in a lattice spin system with long-range interactions
• Symmetric Fock space and orthogonal symmetric polynomials associated with the Calogero model
• Boson-fermion duality in \(\text{SU}(m|n)\) supersymmetric Haldane-Shastry spin chain
• Quantum Calogero-Moser models: integrability for all root systems
• The physics and mathematics of Calogero particles
• Metric operators for quasi-Hermitian Hamiltonians and symmetries of equivalent Hermitian Hamiltonians
• Central charge and quasihole scaling dimensions from model wavefunctions: toward relating Jack wavefunctions to {\cal W} -algebras
• Yang-Baxter equation in long-range interacting systems
• Quantum versus classical integrability in Calogero$ndash$Moser systems
• Quantum and classical eigenfunctions in Calogero and Sutherland systems
• Orthogonality of the Hi-Jack Polynomials Associated with the Calogero Model
• A Simple Derivation of Multivariable Hermite and Legendre Polynomials
• Infinite Symmetry of the Spin Systems with Inverse Square Interactions
• Thermodynamics of a One-Dimensional Ideal Gas with Fractional Exclusion Statistics
• Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry

This page was built for publication: Exact solution of D N-type quantum Calogero model through a mapping to free harmonic oscillators