Techno Press
Techno Press

Coupled Systems Mechanics   Volume 6, Number 1, March 2017, pages 017-28
DOI: http://dx.doi.org/10.12989/csm.2017.6.1.017
 
A split kinetic energy solution scheme applied to various delta potentials in quantum mechanical systems
Yu-Hsin Chen and Sheng D. Chao

 
Abstract     [Full Text]
    In this work, we extend the previously developed split kinetic energy (dubbed as KEP) method 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.
 
Key Words
    kinetic energy partition; Schrodinger equation; negative mass; zero-range potential
 
Address
Yu-Hsin Chen and Sheng D. Chao: Institute of Applied Mechanics, National Taiwan University, Taipei 106, Taiwan, R.O.C.
 

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