Heisenberg's uncertainty principle is often cited as an example of a'purely quantum'relation
with no analogue in the classical limit where ℏ→ 0. However, this formulation of the classical …

We apply matrix Numerov's method to obtain the radial wave functions; from these wave
functions we calculate the root mean square radius rms and β coefficients of bottomonium …

Schrödinger developed an operator method for solving quantum mechanics. While this
technique is overshadowed by his more familiar differential equation approach, it has found …

The stationary states of a particle under the influence of a delta potential confined by
impenetrable walls are investigated using the method of expansion in orthogonal functions …

In this work, aiming to solve numerically the Schrödinger equation with a Dirac delta function
potential, we use the Numerov method to solve the time independent 1D-Schrödinger …

We study the effect of a $\delta $ distribution potential placed at $ x_0\geq 0$ and multiplied
by a parameter $\alpha $ on a quantum mechanical particle in an infinite square well over …

The behaviour of the ground and first excited states of the nonlinear fractional Schrödinger
equation is studied by an approximation method. In order to determine the nonlinear term of …

We present a semiclassical study of the spectrum of a few-body system consisting of two
short-range interacting bosonic particles in one dimension, a particular case of a general …

AbstractWe use the optimized trigonometric finite basis method to find energy eigenvalues
and eigenfunctions of the time-independent Schrö dinger equation with high accuracy. We …

We analyze an engine whose working fluid consists of a single quantum particle, paralleling
Szilard's construction of a classical single-particle engine. Following his resolution of …