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

  • Chen, Yu-Hsin ;
  • Chao, Sheng D.
  • Received : 2015.11.29
  • Accepted : 2015.12.26
  • Published : 2016.07.25

Abstract

In this work, we extend the split previously developed 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 wavefuctions very precisely.

Keywords

kinetic energy partition;$Schr{\ddot{o}}dinger$ equation;negative mass;zero-range potential

References

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Cited by

  1. The kinetic energy partition method applied to quantum eigenvalue problems with many harmonic-oscillator potentials vol.55, pp.6, 2017, https://doi.org/10.1007/s10910-017-0745-9
  2. Kinetic energy partition method applied to ground state helium-like atoms vol.146, pp.12, 2017, https://doi.org/10.1063/1.4978897

Acknowledgement

Supported by : CQSE of NTU