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Universal properties of conformal quantum many-body systems

High Energy Physics - Theory 2010-11-05 v2 Quantum Physics

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 PT PT- invariant Hamiltonian is proposed.

Keywords

Cite

@article{arxiv.hep-th/0503174,
  title  = {Universal properties of conformal quantum many-body systems},
  author = {S. Meljanac and A. Samsarov},
  journal= {arXiv preprint arXiv:hep-th/0503174},
  year   = {2010}
}

Comments

9 pages, no figures, LaTex, the formula (23) is changed into the correct form without affecting the final result