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