Some Connections Between the Classical Calogero–Moser Model and the Log-Gas
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DOI: 10.1007/s10955-019-02349-6
Abstract: In this work we discuss connections between a one-dimensional system of $N$ particles interacting with a repulsive inverse square potential and confined in a harmonic potential (Calogero-Moser model) and the log-gas model which appears in… read more here.
Keywords: calogero moser; moser model; gas; log gas ... See more keywords
On the eigenfunctions of hyperbolic quantum Calogero–Moser–Sutherland systems in a Morse potential
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DOI: 10.1007/s11005-020-01260-6
Abstract: We zoom in on special instances of recently found eigenfunctions for the hyperbolic quantum Calogero–Moser–Sutherland n -particle system in a Morse potential. First, dual difference equations in the spectral variable are employed in order to… read more here.
Keywords: calogero moser; moser sutherland; morse potential;
Elliptic solutions to the KP hierarchy and elliptic Calogero–Moser model
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DOI: 10.1088/1751-8121/ac0a31
Abstract: We consider solutions of the Kadomtsev–Petviashvili hierarchy which are elliptic functions of x = t 1. It is known that their poles as functions of t 2 move as particles of the elliptic Calogero–Moser model.… read more here.
Keywords: calogero moser; elliptic calogero; moser model;
Integrable and superintegrable extensions of the rational Calogero-Moser model in 3 dimensions
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DOI: 10.1088/1751-8121/ac6403
Abstract: We consider a class of Hamiltonian systems in 3 degrees of freedom, with a particular type of quadratic integral and which includes the rational Calogero-Moser system as a particular case. For the general class, we… read more here.
Keywords: calogero moser; rational calogero; integrable superintegrable; superintegrable extensions ... See more keywords