Phase space formulation of density operator for non-Hermitian Hamiltonians and its application in quantum theory of decay

@article{Praxmeyer2018PhaseSF,
  title={Phase space formulation of density operator for non-Hermitian Hamiltonians and its application in quantum theory of decay},
  author={Ludmiła Praxmeyer and Konstantin G. Zloshchastiev},
  journal={International Journal of Modern Physics B},
  year={2018}
}
The Wigner–Weyl transform and phase space formulation of a density matrix approach are applied to a non-Hermitian model which is quadratic in positions and momenta. We show that in the presence of a quantum environment or reservoir, mean lifetime and decay constants of quantum systems do not necessarily take arbitrary values, but could become functions of energy eigenvalues and have a discrete spectrum. It is demonstrated also that a constraint upon mean lifetime and energy appears, which is… 
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