Connection between Calogero-Marchioro-Wolfes type few-body models and free oscillators
نویسندگان
چکیده
منابع مشابه
Extended superconformal symmetry and Calogero-Marchioro model
We show that the two dimensional Calogero-Marchioro Model (CMM) without the harmonic confinement can naturally be embedded into an extended SU(1, 1|2) superconformal Hamiltonian. We study the quantum evolution of the superconformal Hamiltonian in terms of suitable compact operators of theN = 2 extended de Sitter superalgebra with central charge and discuss the pattern of supersymmetry breaking....
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The exchange operator formalism previously introduced for the Calogero problem is extended to the three-body Calogero-Marchioro-Wolfes one. In the absence of oscillator potential, the Hamiltonian of the latter is interpreted as a free particle Hamiltonian, expressed in terms of generalized momenta. In the presence of oscillator potential, it is regarded as a free modified boson Hamiltonian. The...
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A similarity transformation is constructed through which a system of particles interacting with inverse-square two-body and harmonic potentials in one dimension, can be mapped identically, to a set of free harmonic oscillators. This equivalence enables us to write down the complete set of eigenfunctions. We find the exact constants of motion and a linear W1+∞ algebra associated with this model....
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چکیده ندارد.
Super-Calogero-Moser-Sutherland systems and free super-oscillators : a mapping
We show that the supersymmetric rational Calogero-Moser-Sutherland (CMS) model of AN+1-type is equivalent to a set of free super-oscillators, through a similarity transformation. We prescribe methods to construct the complete eigen-spectrum and the associated eigen-functions, both in supersymmetry preserving as well as supersymmetry breaking phases, from the free super-oscillator basis. Further...
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ژورنال
عنوان ژورنال: Physics Letters A
سال: 1998
ISSN: 0375-9601
DOI: 10.1016/s0375-9601(98)00471-x