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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 strange choice is useful when the natural Hilbert space of the system, L2(R2) in this case, is, for some reason, not the most appropriate. This is exactly what happens for the D2 type quantum Calogero model considered in the...
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