Series solutions of PT -symmetric Schrödinger equations
File(s)
Published version
Author(s)
Ford, C
Bender, Carl
Hassanpour, Nima
Xia, Bichang
Type
Journal Article
Abstract
A simple and accurate numerical technique for finding eigenvalues, node structure, and expectation values of ${ \mathcal P }{ \mathcal T }$-symmetric potentials is devised. The approach involves expanding the solution to the Schrödinger equation in series involving powers of both the coordinate and the energy. The technique is designed to allow one to impose boundary conditions in ${ \mathcal P }{ \mathcal T }$-symmetric pairs of Stokes sectors. The method is illustrated by using many examples of ${ \mathcal P }{ \mathcal T }$-symmetric potentials in both the unbroken- and broken-${ \mathcal P }{ \mathcal T }$-symmetric regions.
Date Issued
2018-02-07
Date Acceptance
2018-01-19
Citation
Journal of Physics Communications, 2018, 2
ISSN
2399-6528
Publisher
IOP Publishing
Journal / Book Title
Journal of Physics Communications
Volume
2
Copyright Statement
© 2018 The Author(s). Published by IOP Publishing Ltd. Original content from this
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Publication Status
Published
Article Number
ARTN 025012
Date Publish Online
2018-02-07