Series solutions of PT-symmetric Schrodinger equations

被引：3

作者：

Bender, Carl M. ^{[1
]}

Ford, C. ^{[2
]}

Hassanpour, Nima ^{[1
]}

Xia, B. ^{[2
]}

机构：

[1] Washington Univ, Dept Phys, St Louis, MO 63130 USA

[2] Imperial Coll London, Dept Math, London SW7 2AZ, England

来源：

JOURNAL OF PHYSICS COMMUNICATIONS | 2018年 / 2卷 / 02期

关键词：

PT symmetry; numerical calculation of eigenvalues; eigenfunctions; matrix elements;

D O I：

10.1088/2399-6528/aaa953

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Asimple and accurate numerical technique for finding eigenvalues, node structure, and expectation values of PT-symmetric potentials is devised. The approach involves expanding the solution to the Schrodinger equation in series involving powers of both the coordinate and the energy. The technique is designed to allow one to impose boundary conditions in PT-symmetric pairs of Stokes sectors. The method is illustrated by using many examples of PT-symmetric potentials in both the unbroken-and broken-PT-symmetric regions.

引用

页数：8

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