Universal properties of conformal quantum many-body systems

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

10.1016/j.physletb.2005.03.044 1

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-$
invariant Hamiltonian is proposed.

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