Generalized oscillator representations for Calogero Hamiltonians

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 $\alpha \ge -1/4$ were constructed. Here, we present generalized oscillator representations for all Calogero Hamiltonians with $\alpha \ge -1/4$.These representations are generally highly nonunique, but there exists an optimum representation for each Hamiltonian.

LaTex, 26 pages

References in corpus (2)

• Self-adjoint extensions and spectral analysis in Calogero problem
• Large Oscillator representations for self-adjoint Calogero Hamiltonians

Cited by in corpus (1)

• Quantum Mechanics and Hidden Superconformal Symmetry