A split kinetic energy solution scheme applied to various delta potentials in quantum mechanical systems
Journal
Coupled Systems Mechanics
Journal Volume
6
Journal Issue
1
Pages
17-28
Date Issued
2017
Author(s)
Abstract
In this work, we extend the previously developed split kinetic energy (dubbed KEP) method by Mineo and Chao (2012) by modifying the mass parameter to include the negative mass. We first show how to separate the total system into the subsystems with 3 attractive delta potentials by using the KEP method. For repulsive delta potentials, we introduce "negative" mass terms. Two cases are demonstrated using the "negative" mass terms for repulsive delta potential problems in quantum mechanics. Our work shows that the KEP solution scheme can be used to obtain not only the exact energies but also the exact wavefunctions very precisely.
Type
journal article