Comment on ”Non-Hermitian quantum mechanics with minimal length uncertainty”.
Eigenmodes of the damped wave equation and small hyperbolic subsets
We study stationary solutions of the damped wave equation on a compact and smooth Riemannian manifold without boundary. In the high frequency limit, we prove that a sequence of -damped stationary solutions cannot be completely concentrated in small neighborhoods of a small fixed hyperbolic subset made of -damped trajectories of the geodesic flow.The article also includes an appendix (by S. Nonnenmacher and the author) where we establish the existence of an inverse logarithmic strip without eigenvalues...
Non-Hermitian quantum mechanics with minimal length uncertainty.
Non-Hermitian quantum systems and time-optimal quantum evolution.
Planarizable supersymmetric quantum toboggans.
Pseudo-bosons from Landau levels.
Spectral analysis of relativistic atoms -- Dirac operators with singular potentials.
Supersymmetric extension of non-Hermitian Hamiltonian and supercoherent states.
Time as a quantum observable, canonically conjugated to energy, and foundations of self-consistent time analysis of quantum processes.