Connection between the Green functions of the supersymmetric pair of Dirac Hamiltonians

E. O. Pozdeeva

Type: Article

Publication Date: 2008-03-26

Citations: 5

DOI: https://doi.org/10.1088/1751-8113/41/14/145208

Abstract

The Sukumar statement about the connection between the Green functions of the supersymmetric pair of the Schrödinger Hamiltonians is generalized to the case of the supersymmetric pair of the Dirac Hamiltonians.

Locations

arXiv (Cornell University) - View - PDF
DataCite API - View
Journal of Physics A Mathematical and Theoretical - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Path integral and spectral representations for supersymmetric Dirac-Hamiltonians	2018	Georg Junker Akira Inomata
+	Green's functions, sum rules and matrix elements for SUSY partners	2004	C V Sukumar
+	Quadratic supersymmetric transformations of the Dirac Green functions	2007	Ekaterina O. Pozdeeva
+	SUSY Method for the Three-Dimensional Schrödinger Equation with Effective Mass	2016	M. V. Ioffe E. V. Kolevatova D. N. Nishnianidze
+	The Supersymmetric Dirac Equation	2011	Allen C. Hirshfeld
+	The Supersymmetric Dirac Equation	2011	Allen C. Hirshfeld
+	Scattering Theory of a Supersymmetric Dirac Operator	2017	Bernd Thaller
+	Intertwining of exactly solvable generalized Schrodinger equations	2010	A. A. Suzko E. P. Velicheva
+	Supersymmetric Schrödinger operators: an alternative approach using pseudo-differential operators	2021	Alexander Quandt
+	Generalized power functions for one-dimensional supersymmetric quantum mechanics	2019	Mathieu Ouellet Sébastien Tremblay
+	Infinite-Dimensional Dirac Operators and Supersymmetric Quantum Fields	2022	Asao Arai
+	SUSY-Nonrelativistic Quantum Eigenspectral Energy Analysis for Squared-Type Trigonometric Potentials Through Nikiforov-Uvarov Formalism	2022	Metin Aktaş
+	Approximate Solutions Of The Non-Relativistic Schrődinger Equation With An Interaction Of Coulomb And Hulthѐn Potentials.	2014	C. A. Onate
+	Schrödinger equation with delta potential in superspace	2008	Hendrik De Bie
+ PDF Chat	Generalized ladder operators for the Dirac–Coulomb problem via SUSY QM	2004	R. de Lima Rodrigues
+ PDF Chat	SUPERSYMMETRY AND THE DIRAC OSCILLATOR	1991	C. Quesne
+	Harmonique analysis and Schrödinger equation associated with Dunkl trigonometric Laplacian	2011	Fatma Ayadi
+	Supersymmetry and Solution of Dirac Equation with Vector and Scalar Potentials	2008	Ju Guo-Xing Zhongzhou Ren
+	Elements of (Super-)Hamiltonian Formalism	2006	Armen Nersessian
+ PDF Chat	On the Separability of Dirac Equation	1953	Takehiko Takabayasi

Works That Cite This (3)

Action	Title	Year	Authors
+	A trace formula for Dirac Green's functions related by Darboux transformations	2008	E. O. Pozdeeva Axel Schulze‐Halberg
+ PDF Chat	A new two-parameter family of exactly solvable Dirac Hamiltonians	2009	Ekaterina O. Pozdeeva
+ PDF Chat	Supersymmetric twisting of carbon nanotubes	2012	Vít Jakubský Mikhail S. Plyushchay

Works Cited by This (7)

Action	Title	Year	Authors
+ 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
+	Comment on ‘Generalization of the Darboux transformation and generalized harmonic oscillators’	2005	Axel Schulze‐Halberg
+ PDF Chat	SUSY transformation of the Green function and a trace formula	2005	B. F. Samsonov C V Sukumar Andrey M. Pupasov-Maksimov
+ PDF Chat	Supersymmetry and algebraic Darboux transformations	2004	David Gómez‐Ullate Niky Kamran Robert Milson
+ PDF Chat	Exact propagators for SUSY partners	2007	Andrey M. Pupasov-Maksimov B. F. Samsonov Uwe Günther