Andreas Fring and Miloslav Znojil 2008 J. Phys. A: Math. Theor. 41 194010 doi:10.1088/1751-8113/41/19/194010
-symmetric deformations of Calogero models
Andreas Fring1 and Miloslav Znojil2
Show affiliationsWe demonstrate that Coxeter groups allow for complex
-symmetric deformations across the boundaries of all Weyl chambers. We compute the explicit deformations for the A2 and G2-Coxeter group and apply these constructions to Calogero–Moser–Sutherland models invariant under the extended Coxeter groups. The eigenspectra for the deformed models are real and contain the spectra of the undeformed case as subsystems.
15A18 Eigenvalues, singular values, and eigenvectors
Issue 19 (16 May 2008)
Received 6 February 2008, in final form 10 March 2008
Published 29 April 2008
-symmetric deformations of Calogero models
Andreas Fring and Miloslav Znojil 2008 J. Phys. A: Math. Theor. 41 194010
Mehmet Dağlı et al 2008 J. Phys. A: Math. Theor. 41 155302
A N Enyashin et al 2007 Nanotechnology 18 245702
Igor Khavkine 2009 Class. Quantum Grav. 26 125012
Huiquan Zhang et al 2008 J. Phys. A: Math. Theor. 41 105003
A Finoguenov et al 1998 Phys. Scr. 1998 139
C Quesne 2008 J. Phys. A: Math. Theor. 41 392001
J E Hirsch 2008 J. Phys.: Condens. Matter 20 235233
Moshe Shapiro 2008 J. Phys. A: Math. Theor. 41 175303
Hadayat Ullah Khan et al 2007 J. Phys.: Condens. Matter 19 106202
-symmetric models of scattering