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• W1967920079 abstract "In the first part of this paper we show how a simple system, a 2-dimensional quantum harmonic oscillator, can be described in terms of pseudo-bosonic variables. This apparently {em strange} choice is useful when the {em natural} Hilbert space of the system, $L^2({bf R}^2)$ in this case, is, for some reason, not the most appropriate. This is exactly what happens for the $D_2$ type quantum Calogero model considered in the second part of the paper, where the Hilbert space $L^2({bf R}^2)$ appears to be an unappropriate choice, since the eigenvectors of the relevant hamiltonian are not square-integrable. Then we discuss how a certain intertwining operator arising from the model can be used to fix a different Hilbert space more {em useful}." @default.
• W1967920079 created "2016-06-24" @default.
• W1967920079 creator A5043441302 @default.
• W1967920079 date "2013-05-02" @default.
• W1967920079 modified "2023-09-27" @default.
• W1967920079 title "Pseudo-bosons for the $D_2$ type quantum Calogero model" @default.
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• W1967920079 hasPublicationYear "2013" @default.
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