We show that a vapor of multilevel atoms driven by far-off-resonant laser beams, with the
possibility of interference of two Raman resonances, is highly efficient for creating parity-time …

The spectra of the Schrödinger operators with periodic potentials are studied. When the
potential is real and periodic, the spectrum consists of, at most, countably many line …

We present a detailed study of a generalised one-dimensional Kronig–Penney model using
δ-δ'δ-δ′ potentials. We analyse the band structure and the density of states in two …

Many indefinite-metric (often called pseudo-Hermitian or PT-symmetric) quantum models H
prove “physical”(ie, Hermitian with respect to an innovated, ad hoc scalar product) inside a …

We present a generalization of the perturbative construction of the metric operator for non-
Hermitian Hamiltonians with more than one perturbation parameter. We use this method to …

The nonlinear Schrödinger equation is studied for a periodic sequence of delta-potentials (a
delta-comb) or narrow Gaussian potentials. For the delta-comb the time-independent …

arXiv:1609.05786v4 [math.SP] 12 Oct 2017 Page 1 arXiv:1609.05786v4 [math.SP] 12 Oct 2017
On the spectral properties of the Schrodinger operator with a periodic PT-symmetric potential …

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 expected …

The transfer matrix formalism is implemented in the form of the multiple collision technique to
account for dissipative transmission processes by using complex potentials in several …

symmetric, non-relativistic quantum mechanical potentials are discussed in two and three
spatial dimensions. Conditions are formulated under which these potentials are-symmetric …