Determination of excited states of quantum systems by finite difference time domain method (FDTD) with supersymmetric quantum mechanics (SUSY-QM)

Authors : I Wayan Sudiarta; Lily Maysari Angraini
article cite 3 Year 2016
source: AIP conference proceedings
Abstract

We have applied the finite difference time domain (FDTD) method with the supersymmetric quantum mechanics (SUSY-QM) procedure to determine excited energies of one dimensional quantum systems. The theoretical basis of FDTD, SUSY-QM, a numerical algorithm and an illustrative example for a particle in a one dimensional square-well potential were given in this paper. It was shown that the numerical results were in excellent agreement with theoretical results. Numerical errors produced by the SUSY-QM procedure was due to errors in estimations of superpotentials and supersymmetric partner potentials.


Concepts :
Laser-Matter Interactions and Applications
Quantum chaos and dynamical systems
Quantum Mechanics and Non-Hermitian Physics
article cite 3 Year 2016 source AIP conference proceedings
Access to Document
10.1063/1.4946933
Citations by Year
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2016 3