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 …

In this study, we introduce a new approach to construct the Schrödinger equation with
position-dependent mass characterized by an emerging particle's effective mass, in perfect …

We study the D-dimensional Schrödinger equation for an energy-dependent Hamiltonian
that linearly depends on energy and quadratically on the relative distance. Next, via the …

Dirac equation with spatially or position-dependent mass and an attractive Coulomb-like
field is constructed in Hausdorff dimension of order 0< α ≤ 1 0< α≤ 1. The lower and upper …

We present analytically the exact solutions of the Schrödinger equation in the N-dimensional
spaces for the pseudoharmonic oscillator potential by means of the ansatz method. The …

In this research, we model Hulthén plus generalized inverse quadratic Yukawa potential to
interact in a quark-antiquark system. The solutions of the Schrödinger equation are obtained …

Approximate analytical solutions of the D-dimensional Klein—Gordon equation are obtained
for the scalar and vector general Hulthén-type potential and position-dependent mass with …

Ordinary differential approach together with certain properties of Gaussian hypergeometric
functions is exploited to construct exact analytical expressions for regular and irregular …

We consider a single particle which is bound by a central potential and obeys the Dirac
equation in d dimensions. We first apply the asymptotic iteration method to recover the …