Complex Calogero systems and PT -symmetric deformations
From real fields to complex Calogero particles
... two systems become ...5. Complex Calogero models and PT -deformations We have demonstrated in section 3 that the solutions of the constrained Calogero models are intrinsically of ...
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PT-symmetric deformations of Calogero models
... Our manuscript is organized as follows: In order to fix our conventions we recall in section 2 some of the basic features of CMS-models and indicate the structure we expect to find for the deformed models. In section 3 ...
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PT-symmetric deformations of integrable models
... as PT - symmetrical deformations or extensions of different types of integrable ...multi-particle systems of Calogero-Moser- Sutherland type and non-linear integrable field equations of ...
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PT-symmetric deformations of integrable models
... 1. Introduction Until fairly recently [1] non-Hermitian systems have been mostly viewed as not self-consistent descriptions of dissipative systems. However, in contrast to the previous misconception it is ...
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Integrable models from PT-symmetric deformations
... for PT -symmetric deformations of these models, establish thereafter in some cases the Painlev´e property and draw conclusions about their ...classical systems the definitions of integrability ...
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PT-symmetric deformations of the Korteweg-de Vries equation
... 3. PT -symmetric deformations from a Hamiltonian formalism As we remarked, the PT -symmetry analysis, which led to ...Hamiltonian systems, it appears highly desirable to perform ...
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Antilinear deformations of Coxeter groups, an application to Calogero models
... construct complex root spaces remaining invariant under antilinear in- volutions related to all Coxeter ...on deformations of factors of the Coxeter element and the other based on the deformation of the ...
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Antilinear deformations of Coxeter groups, an application to Calogero models
... construct complex root spaces remaining invariant under antilinear in- volutions related to all Coxeter ...on deformations of factors of the Coxeter element and the other based on the deformation of the ...
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PT-symmetry breaking in complex nonlinear wave equations and their deformations
... investigate complex versions of the Korteweg-deVries equations and an Ito type nonlinear system with two coupled nonlinear ...feasible systems, that is those with real ...the complex solution for the ...
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PT deformation of angular Calogero models
... the PT operator where P correspond to the parity operator and T the time reversal operator) which also leaves the eigenfunctions invariant (“unbroken PT symmetry”) [ 13 ...hermitian PT -invariant ...
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Completeness and orthonormality in PT-symmetric quantum systems
... DOI: 10.1103/PhysRevA.68.062111 PACS number~s!: 11.30.Er, 03.65. 2 w Hermitian operators have real eigenvalues while non- Hermitian ones may have complex eigenvalues. Numerical and analytical results indicated the ...
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Nonlinear waves in systems with PT/CP - symmetric potentials
... specific intercore coupling, which, in a phenomenological form, can represent gain and loss in the system, assuming that the coupler is embedded into an “active” medium [73, 111]. Alternatively, the same coupling can be ...
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A COCR method for solving complex symmetric linear systems
... COCR; Complex symmetric matrices; Krylov subspace methods ...nonsingular complex symmetric linear systems of the form Ax = b, where A is an N × N non-Hermitian but symmetric ...
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Efficient preconditioning for sequences of parametric complex symmetric linear systems
... (example: right hand sides and/or the initial guesses are nonzero and/or differ) or x (0) j and/or the right hand sides are not all available at the same time. Moreover, the linear systems in ( 1.1 ) (and, in ...
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SELECTION IN COMPLEX GENETIC SYSTEMS I. THE SYMMETRIC EQUILIBRIA OF THE THREE-LOCUS SYMMETRIC VIABILITY MODEL
... I n large part our findings for the symmetric equilibria corroborate those which FRANKLIN and LEWONTIN (1970) obtained numerically. The stability analysis for one class of [r] ...
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Integrable many-body systems of Calogero-Ruijsenaars type
... Part II is a collection of work motivated by, but not involving reduction techniques. Chapter 4 reports our discovery of a Lax pair for the hyperbolic van Diejen system with two independent coupling parameters. The ...
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A parallel algorithm of ICSYM for complex symmetric linear systems in quantum chemistry
... solving complex symmetric linear systems have been thoroughly discussed in many papers, such as the com- plex symmetric quasi-minimal residual method (QMR-SYM) [14], symmetric ...
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PT-symmetric extensions of the supersymmetric Korteweg-de Vries equation
... several PT -symmetric deformations of ...of complex PT -symmetric defor- mations of the supersymmetric Korteweg-de Vries ...
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Antilinear deformations of Coxeter groups with application to Hamiltonian systems
... undeformed Calogero model, that is independent of the root space it is based on, we extended this same general solution to the deformed case and were able to find the ground state eigenvalues of the deformed ...
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Numbers and Complex Symmetric Multiple Arguments in the Ring System
... 4 systems forming constructive set, whose interaction by segmenting their determinants and plotting parametric behavior shows obvious symmetry and interconnected dynamic system such as a multi-way ...
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