Nonclassical properties of a particle in a finite range trap: the f-deformed quantum oscillator approach

TL;DR

This paper explores how a finite-range potential influences the non-classical properties of a particle modeled by an $f$-deformed quantum oscillator, showing controllable quantum statistical behaviors through nonlinearities.

Contribution

It introduces an $f$-deformed quantum oscillator framework to analyze finite-range potentials and demonstrates how nonlinearities affect quantum statistical properties.

Findings

Finite range acts as a controllable deformation parameter.

Nonlinearities influence non-classical quantum statistical properties.

The approach allows manipulation of quantum behaviors via potential range.

Abstract

A particle bounded in a potential with finite range is described by using an $f$-deformed quantum oscillator approach. Finite range of this potential can be considered as a controllable deformation parameter. The non-classical quantum statistical properties of this deformed oscillator can be manipulated by nonlinearities associated to the finite range.