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math-ph2008★ 20 cited
Exceptional points in quantum and classical dynamics
A. V. Smilga
We notice that, when a quantum system involves exceptional points, i.e. the special values of parameters where the Hamiltonian loses its self-adjointness and acquires the Jordan bl…
math-ph2006★ 46 cited
Supersymmetry vs ghosts
Didier Robert, Andrei. V. Smilga
We consider the simplest nontrivial supersymmetric quantum mechanical system involving higher derivatives. We unravel the existence of additional bosonic and fermionic integrals of…