This book introduces the factorization method in quantum mechanics at an advanced level,
with the aim of putting mathematical and physical concepts and techniques like the …

Higher dimensional theories have attracted much attention because they make it possible to
reduce much of physics in a concise, elegant fashion that unifies the two great theories of …

Known shape-invariant potentials for the constant-mass Schrödinger equation are taken as
effective potentials in a position-dependent effective mass (PDEM) one. The corresponding …

Here, analytical expressions of energy eigenvalues and eigen functions for a generalized
Cornell potential are obtained by solving the non-relativistic Schrodinger equation using the …

We study the Schrödinger equation with spatial mass distributions for a class of exactly
solvable potentials. We obtain the analytical solutions by transforming the mass distribution …

A new generalized uncertainty relation is constructed based on Li-Ostoja-Starzewski
fractional gradient operator of order 0< α≤ 1 introduced recently in literature which is …

In this study, a quantum mechanical system characterized by the product-like fractal
geometry constructed by Li and Ostoja-Starzewski in order to explore physical properties of …

In this study, the Schrödinger equation with position-dependent mass in fractal dimensions
is constructed from fractal anisotropy and product-like fractal measure introduced by Li and …

A systematic procedure to study one-dimensional Schrödinger equation with a position-
dependent effective mass (PDEM) in the kinetic energy operator is explored. The …

Using the effective mass and parabolic band approximations, we investigated the position-
dependent effective mass and non-resonant intense laser field effects on the first and third …