Calogero-Moser Models. V : Supersymmetry and Quantum Lax Pair

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概要

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• It is shown that the Calogero-Moser models based on all root systems of the finite reflection groups (both the crystallographic and non-crystallographic cases ) with the rational (with/without a harmonic confining potential), trigonometric and hyperbolic potentials can be simply supersymmetrised in terms of superpotentials. There is a universal formula for the supersymmetric ground state wavefunction. Since the bosonic part of each supersymmetric model is the usual quantum Calogero-Moser model, this gives a universal formula for its ground state wavefunction and energy, which is determined purely algebraically. Quantum Lax pair operators and conserved quantities for all the above Calogero-Moser models are established.

• 理論物理学刊行会の論文
• 2000-03-25

著者

• SASAKI Ryu

  Yukawa Institute for Theoretical Physics, Kyoto University

• Sasaki R

  Kyoto Univ. Kyoto Jpn

• Sasaki Ryu

  Yukawa Institute For Theoretical Physics Kyoto University

• BORDNER Andrew

  Yukawa Institute for Theoretical Physics, Kyoto University

• MANTON Nicholas

  Department of Applied Mathematics and Theoretical Physics University of Cambridge

• Bordner Andrew

  Yukawa Institute For Theoretical Physics Kyoto University

• SASAKI Ryu

  Uji Research Center, Yukawa Institute for Theoretical Physics Kyoto University:Department of Mathematical Sciences, University of Durham

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