Coupled systems mechanics

  • 제6권1호
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  • Pages.17-28
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  • 2017
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  • 2234-2184(pISSN)
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  • 2234-2192(eISSN)
테크노프레스 (Techno-Press)
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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)
  • 투고 : 2015.11.29
  • 심사 : 2015.12.26
  • 발행 : 2017.03.25
⟨ 이전 논문 다음 논문 ⟩

초록

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.

키워드

참고문헌

  1. Demkov, Y.N. and Ostrovski, V.N. (1988), Basic Principles of the Zero-Range Potential Method, Springer, 1-21.
  2. Dirac, P.A.M. (1958), The Principle of Quantum Mechanics, Oxford U.P., Oxford.
  3. Holden, H., Hoegh-Krohn, R., Gesztesy, F. and Albeverio, S. (2005), Solvable Models in Quantum Mechanics, AMS Chelsea Publishing, Rhode Island, U.S.A.
  4. Mineo, H. and Chao, S.D. (2012), "Split kinetic energy method for quantum systems with competing potentials", Ann. Phys., 327(9), 2061-2073. https://doi.org/10.1016/j.aop.2012.05.010
  5. Mineo, H. and Chao, S.D. (2014), "Kinetic energy partition method for competing modes", J. Chin. Chem. Sci., 61(11), 1205-1210. https://doi.org/10.1002/jccs.201400008
  6. Yakovlev, S.L. and Gradusov, V.A. (2013), "Zero-range potential for particles interacting via coulomb potential", J. Phys. A, 46(3), 035307. https://doi.org/10.1088/1751-8113/46/3/035307

피인용 문헌

  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