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 …

By using the wave function ansatz method, we study the energy eigenvalues and wave
function for any arbitrary m-state in two-dimensional Schrödinger wave equation with …

By applying an ansatz to the eigenfunction, an exact closed-form solution of theSchrödinger
equation in two dimension is obtained with the potentials V (r)= ar 2+ br 4+ cr 6, V (r)= ar+ br …

In this work, the generalized Dirac oscillator in cosmic string space‐time is studied by
replacing the momentum pμ with its alternative pμ+ mωβfμ (xμ). In particular, the quantum …

Exact solution of Schrodinger equation for the pseudoharmonic potential is obtained for an
arbitrary angular momentum. The energy eigenvalues and corresponding eigenfunctions …

By applying a factorization ansatz to the eigenfunction, an exact analytic solution to the
stationary Schrödinger equation in two dimensions is obtained with the potential V (r)= Ar-4+ …

A known terminating polynomial ansatz for a finite sub-set of states of the sextic central
potential V (a, b, c; r)= ar 2+ br 4+ cr 6, c> 0, subject to integer related parameter constraints …

By applying an ansatz to the wave function, the solutions of the D-dimensional radial
Schrödinger equation with some anharmonic potentials are obtained. The restriction on the …

Applying an ansatz to the eigenfunction, we obtain the exact closed-form solutions of the
relativistic Schrödinger equation with the potential V (r)=− a/r+ b/r 1/2 both in three …

The Schrödinger equation under the Manning-Rosen potential is solved in arbitrary
dimension via the quantum mechanical idea of supersymmetry. The Pekeris approximation …