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arXiv · 1211.6331

Generalized oscillator representations for Calogero Hamiltonians

I. V. Tyutin·B. L. Voronov
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Abstract

This paper is a natural continuation of the previous paper J.Phys. A: Math.Theor. 44 (2011) 425204, arXiv 0907.1736 [quant-ph] where oscillator representations for nonnegative Calogero Hamiltonians with coupling constant $α\geq-1/4$ were constructed. Here, we present generalized oscillator representations for all Calogero Hamiltonians with $α\geq-1/4$.These representations are generally highly nonunique, but there exists an optimum representation for each Hamiltonian.

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I. V. Tyutin, B. L. Voronov. 2012-11-27. Generalized oscillator representations for Calogero Hamiltonians. https://doi.org/10.1088/0031-8949%2F87%2F03%2F038119

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