Supercoherent States of Calogero-Sutherland Oscillator

Details Supercoherent States of Calogero-Sutherland Oscillator Supercoherent States of Calogero-Sutherland Oscillator

1998-04-29

arxiv.org/abs/quant-ph/9804067v1

Physics

Quantum Physics

Talk at the International Workshop on Quantum Systems: New Trends and Methods 3-7 june 1996. See Proceedings book published by

Scientific paper

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.

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