arXiv subjects

Gbenga Olunloyo

Publications and source records attributed to Gbenga Olunloyo.

3 recordsLinked to original sources

arXiv2017

An alternative derivation of the Fernández-Castro analytic approximate expression for the eigenvalues of the bounded quartic oscillator

In this note we show that the standard \mbox{Rayleigh-Schrödinger} (RS) perturbation method gives the same result as the hypervirial pertubative method (HPM), for an approximate analytic expression for the energy eigenvalues of the bounded quartic oscillator. This connection between the HPM and the RS method went unnoticed for a long time, apparently because it was not obvious that the resulting polygamma sums to be evaluated in the RS method could, in fact, be expressed in closed form.

quant-ph↗

arXiv2016

On approximating the free harmonic oscillator by a particle in a box

The main purpose of this paper is to demonstrate and illustrate, once again, the potency of the variational technique as an approximation procedure for the quantization of quantum mechanical systems. By choosing particle-in-a-box wavefunctions as trial wavefunctions, with the size of the box as the variation parameter, approximate eigenenergies and the corresponding eigenfunctions are obtained for the one dimensional free harmonic oscillator.

quant-ph↗

arXiv2015

The Standard Representation of the Symmetric Group $S_n$ over the Ring of Integers

In this paper we give a Casimir Invariant for the Symmetric group $S_n$. Furthermore we obtain and present, for the first time in the literature, explicit formulas for the matrices of the standard representation in terms of the matrices of the permutation representation.

math.GR↗