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(1970)
J. Math. Phys
(1988)
Phys. Rev. B
(1996)
Phys. Soc. Jpn
(1998)
Phys. Lett. A
(1996)
Commun. Math. Phys
(1983)
Phys. Rep
(1993)
Phys. Rev. Lett
(1990)
Random Matrices, Revised Edition (Academic Press N.Y
Bireswar Basu-Mallick, H. Ujino, M. Wadati (1999)
Exact spectrum and partition function of SU(m|n) supersymmetric Polychronakos modelJournal of the Physical Society of Japan, 68
T. Baker, P. Forrester (1996)
The Calogero-Sutherland model and polynomials with prescribed symmetryNuclear Physics, 492
(1993)
Physica D 68
(1993)
J. Phys. A
(1996)
Commun
(1992)
Nucl. Phys. B Phys. Lett. A
(1992)
Phys. Lett. B
(1993)
Solitons & Fractals 3
(1972)
Proc
(1986)
Random Matrices , Revised Edition ( Academic Press N . Y , 1990 ) . [ 15 ] J . M . Leinaas and J . Myrheim
(1970)
Proc. R. Soc. Edinburgh (A)
(1989)
Trans. Amer. Math. Soc
(1993)
Solitons & Fractals
(1971)
Phys. Rev. A Phys. Rev. Lett
(1997)
Special Functions and Differential Equations Allied publishers
I. Gradshteyn, I. Ryzhik, A. Jeffrey, Y. Geronimus, M. Tseytlin, Y. Fung (1966)
Table of Integrals, Series, and ProductsJournal of Lubrication Technology, 98
(1993)
J. Phys. Soc. Jpn
N. Gurappa, P. Panigrahi (1999)
Equivalence of the Sutherland model to free particles on a circlearXiv: High Energy Physics - Theory
A. Bello (1995)
Tables of Integrals, Series, and ProductsThe Statistician, 44
A. Bordner, N. Manton, Ryu Sasaki (1999)
Calogero-Moser models. V - Supersymmetry and quantum Lax pair -Progress of Theoretical Physics, 103
(1994)
For various connections, see the chart in B
A novel realization of Calogero-Moser scattering states as coherent states, pre-print quant-ph/9908045
(1992)
Anyons, Lecture notes in physics
N. Gurappa, P. Panigrahi, T. Raju (1999)
A Unified Algebraic Approach to Few and Many-Body Hamiltonians having Linear SpectraarXiv: Condensed Matter
(1992)
Nucl
(1991)
Inv. Math
(1979)
Phys. Fluids
J. Harris, H. Stöcker (1998)
Tables of integrals
(1988)
Adv. Math
(1997)
Special Functions and Differential Equations
(1998)
Phys. Soc. Jpn. Phys. Lett. A
(1993)
Physica D
A novel realization of Calogero-Moser scattering states as coherent states
(1986)
Phys
S. Isakov, G. Lozano, S. Ouvry (1999)
Non-Abelian Chern-Simons particles in an external magnetic fieldNuclear Physics, 552
(1983)
Nucl. Phys. B
(1997)
A: Math
(1997)
J. Phys. A: Math. Gen
I. MacDonald (1979)
Symmetric functions and Hall polynomials
(1994)
J. Phys. Soc. Jpn. Chaos, Solitons & Fractals
(1994)
Phys. Rev. Lett. Nucl. Phys. B
The algebraic structure and the relationships between the eigenspaces of the Calogero-Sutherland model (CSM) and the Sutherland model (SM) on a circle are investigated through the Cherednik operators. We find an exact connection between the simultaneous nonsymmetric eigenfunctions of the A N - 1 Cherednik operators, from which the eigenfunctions of the CSM and SM are constructed, and the monomials. This construction allows us to simultaneously diagonalize both CSM and SM (after gauging away the Hamiltonians by suitable measures) and also enables us to write down a harmonic oscillator algebra involving the Cherednik operators, which yields the raising and lowering operators for both of these models. The connections of the CSM with free oscillators and the SM with free particles on a circle are established in a novel way. We also point out the subtle differences between the excitations of the CSM and the SM.
Physical Review B – American Physical Society (APS)
Published: Jul 15, 2000
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