First-order Darboux transformations for Dirac equations with arbitrary diagonal potential matrix in two dimensions

被引：0

作者：

Axel Schulze-Halberg

机构：

[1] Indiana University Northwest,Department of Mathematics and Actuarial Science, and Department of Physics

来源：

The European Physical Journal Plus | / 136卷

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摘要：

We establish first-order Darboux transformations for the two-dimensional Dirac equation with diagonal matrix potential. The potential is allowed to depend arbitrarily on both variables. The systems we consider here include the scenario of a position-dependent mass as well as the massless case. Our Darboux transformations are more general than their existing counterparts (Pozdeeva and Schulze-Halberg in J Math Phys 51:113501, 2010).

引用

共 50 条

[1] First-order Darboux transformations for Dirac equations with arbitrary diagonal potential matrix in two dimensions
Schulze-Halberg, Axel
[J]. EUROPEAN PHYSICAL JOURNAL PLUS, 2021, 136 (07):
[2] Darboux operators for linear first-order multi-component equations in arbitrary dimensions
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[J]. CENTRAL EUROPEAN JOURNAL OF PHYSICS, 2013, 11 (04): : 457 - 469
[3] Arbitrary-order Darboux transformations for two-dimensional Dirac equations with position-dependent mass
Axel Schulze-Halberg
[J]. The European Physical Journal Plus, 135
[4] Arbitrary-order Darboux transformations for two-dimensional Dirac equations with position-dependent mass
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[J]. EUROPEAN PHYSICAL JOURNAL PLUS, 2020, 135 (03):
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[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2010, 51 (11)
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[10] Darboux transformations and the decoupling process for Dunkl-Dirac equations with pseudoscalar potential
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[J]. The European Physical Journal Plus, 138

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