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Time-dependent version of cryptohermitian quantum theory
Miloslav Znojil
For many quantum models an apparent non-Hermiticity of observables corresponds to their hidden Hermiticity in another, physical Hilbert space. For these models we show that the exi…
Discrete PT-symmetric models of scattering
Miloslav Znojil
One-dimensional scattering mediated by non-Hermitian Hamiltonians is studied. A schematic set of models is used which simulate two point interactions at a variable strength and dis…
An explicitly solvable model of the spontaneous PT-symmetry breaking
Vit Jakubsky, Miloslav Znojil
We contemplate the pair of the purely imaginary delta-function potentials on a finite interval with Dirichlet boundary conditions. The two parameter model exhibits nicely the expec…
Solvable relativistic quantum dots with vibrational spectra
Miloslav Znojil
For Klein-Gordon equation a consistent physical interpretation of wave functions is reviewed as based on a proper modification of the scalar product in Hilbert space. Bound states…
Sufficient conditions for the anti-Zeno effect
Pavel Exner
The ideal anti-Zeno effect means that a perpetual observation leads to an immediate disappearance of the unstable system. We present a straightforward way to derive sufficient cond…
Linear representation of energy-dependent Hamiltonians
Miloslav Znojil
Effective (i.e., subspace-constrained) Hamiltonians become, by construction, energy-dependent while all the energy-dependent forces prove non-linear because the energy itself is me…