Universal properties of conformal quantum many-body systems
arXiv:hep-th/0503174 · doi:10.1016/j.physletb.2005.03.044 10.1016/j.physletb.2005.06.049
Abstract
Universal properties of many-body systems in conformal quantum mechanics in arbitrary dimensions are presented. Specially, a general structure of discrete energy spectra and eigenstates is found. Finally, a simple construction of a universal time operator conjugated to a conformal Hermitian or a invariant Hamiltonian is proposed.
9 pages, no figures, LaTex, the formula (23) is changed into the correct form without affecting the final result
References in corpus (2)
Cited by in corpus (9)
- Conformal mechanics in Newton-Hooke spacetime
- Non-Hermitian oscillator Hamiltonian and su(1,1): a way towards generalizations
- Remark on quantum mechanics with N=2 Schrodinger supersymmetry
- Quantization and Conformal Properties of a Generalized Calogero Model
- Nonlinear symmetries of perfectly invisible -regularized conformal and superconformal mechanics systems
- Collective Field Formulation of the Multispecies Calogero Model and its Duality Symmetries
- Waves and Solitons in the Calogero Model - Revisited
- Inequivalent quantization of the rational Calogero model with a Coulomb type interaction
- Calogero Model(s) and Deformed Oscillators