Supercoherent States of Calogero-Sutherland Oscillator

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Supersymmetric quantum mechanical model of Calogero-Sutherlend singular oscillator is constructed. Supercoherent states are defined with the help of supergroup displacement operator. They are proper states of a fermionic annihilation operator. Their coordinate and superholomorphic representations are considered. The supermeasure on superunit disc which realizes the resolution of the unity is calculated. The cases of exact and spontaneously broken supersymmetry are treated separately. As an example the supersymmetric partners of the input Hamiltonian expressed in terms of elementary functions are given.
Talk at the International Workshop on Quantum Systems: New Trends and Methods 3-7 june 1996. See Proceedings book published by World-Scientific Singapore 1997, P.15-25

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Quantum Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/93666

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/quant-ph/9804067
 http://arxiv.org/abs/quant-ph/9804067

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arXiv