We present a comprehensive and self-contained discussion of the use of the transfer matrix
to study propagation in one-dimensional lossless systems, including a variety of examples …

In this present work, we study the approximate solution of the Schrodinger equation with
hyperbolic function position-dependent mass for a symmetrical Modified Poschl-Teller …

In this paper, the general state of quantum mechanics equations that can be typically
expressed by nonlinear fractional Schrödinger models will be solved based on an attractive …

In this study, we have constructed a new fractional Schrödinger Hamiltonian for a quantum
system characterized by a position-dependent mass and a modified fractional spatial …

Applying several latest theoretical techniques, the empirical description of the interaction
between the high-frequency Langmuir and the low-frequent ion-acoustic waves, derived …

The position-dependent effective mass Schrödinger equation exhibiting a similar position
dependence for both the potential and mass is exactly solved. Some physical examples are …

We derive analytical solutions of the Schrödinger wave equation for some q-deformed
potentials. Most of these solutions are obtained in terms of Heun functions. However, for …

We consider the Schrödinger equation with singular position dependent effective mass and
prove that it is very weakly well posed. A uniqueness result is proved in an appropriate …

Noncommutativity of position and momentum makes it difficult to formulate the unambiguous
structure of the kinetic part of Hamiltonian for the position-dependent effective mass (PDEM) …

We represent low dimensional quantum mechanical Hamiltonians by moderately sized finite
matrices that reproduce the lowest O (10) bound-state energies and wave functions to …