Coupled systems mechanics

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A split kinetic energy solution scheme applied to various delta potentials in quantum mechanical systems

  • Chen, Yu-Hsin (Institute of Applied Mechanics, National Taiwan University) ;
  • Chao, Sheng D. (Institute of Applied Mechanics, National Taiwan University)
  • Received : 2015.11.29
  • Accepted : 2015.12.26
  • Published : 2017.03.25
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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.

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References

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Cited by

  1. The kinetic energy partition method applied to a confined quantum harmonic oscillator in a one-dimensional box 2018, https://doi.org/10.1016/j.cjph.2018.01.014
  2. Negative Mass Can Be Positively Useful in Quantum Mechanics 2018, https://doi.org/10.1002/jccs.201700367
  3. Solving many-body Schrödinger equations with kinetic energy partition method vol.388, 2018, https://doi.org/10.1016/j.aop.2017.11.002