DARBOUX TRANSFORMATION OF THE GREEN FUNCTION FOR THE DIRAC EQUATION WITH THE GENERAL POTENTIAL

E. O. Pozdeeva

Type: Article

Publication Date: 2008-01-20

Citations: 3

DOI: https://doi.org/10.1142/s0217751x08038500

Abstract

We consider the Darboux transformation of the Green functions of the regular boundary problem of the one-dimensional stationary Dirac equation. We obtained the Green functions of the transformed Dirac equation with the initial regular boundary conditions. We also obtain the formula for the full trace of the difference of the transformed and initial Green functions of the regular boundary problem of the one-dimensional stationary Dirac equation. We illustrate our findings by the consideration of the Darboux transformation of the Green function on an interval.

Locations

arXiv (Cornell University) - View - PDF
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International Journal of Modern Physics A - View

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Works Cited by This (15)

Action	Title	Year	Authors
+ PDF Chat	Sturm–liouville and dirac operators	1992	Levitan I. Sargsjan
+	Darboux transformation and Crum’s formula for multi-component integrable equations	2001	Q.-Han Park Hyung‐Joon Shin
+ PDF Chat	Intertwining technique for the one-dimensional stationary Dirac equation	2003	L. M. Nieto A A Pecheritsin B. F. Samsonov
+	Green's functions, sum rules and matrix elements for SUSY partners	2004	C V Sukumar
+	Darboux transformations of the one-dimensional stationary Dirac equation	2002	N. Debergh A A Pecheritsin B. F. Samsonov Bruno Van Den Bossche
+	Darboux transformation of the Schrödinger equation	1997	В. Г. Багров
+ PDF Chat	Generalized Algebraic Bargmann–Darboux Transformations	1997	A. A. Suzko
+	Darboux transformation of the Green’s function of a regular Sturm-Liouville problem	2005	B. F. Samsonov Andrey M. Pupasov-Maksimov
+	Comment on ‘Generalization of the Darboux transformation and generalized harmonic oscillators’	2005	Axel Schulze‐Halberg
+	Sturm—Liouville and Dirac Operators	1991	B. M. Levitan I. S. Sargsjan