Universal properties of conformal quantum many-body systems
S. Meljanac, A. Samsarov
TL;DR
This paper explores universal characteristics of conformal quantum many-body systems across dimensions, revealing a general energy spectrum structure and proposing a universal time operator for such systems.
Contribution
It introduces a general framework for the energy spectra and eigenstates of conformal quantum systems and proposes a universal time operator applicable to conformal Hamiltonians.
Findings
Discovered a universal structure of discrete energy spectra.
Constructed a universal time operator for conformal Hamiltonians.
Provided a general description of eigenstates in conformal quantum mechanics.
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.
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