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Research PapersNo Access

DARBOUX TRANSFORMATION FOR THE ONE-DIMENSIONAL STATIONARY DIRAC EQUATION WITH NON-HERMITIAN INTERACTION

Physics & Applied Mathematics Unit, Indian Statistical Institute, Kolkata–700 108, India

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and

Physics & Applied Mathematics Unit, Indian Statistical Institute, Kolkata–700 108, India

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https://doi.org/10.1142/S0217751X0603312XCited by:7 (Source: Crossref)

Abstract

The Darboux algorithm is applied to an exactly solvable one-dimensional stationary Dirac equation, with non-Hermitian, pseudoscalar interaction V₀(x). This generates a hierarchy of exactly solvable Dirac Hamiltonians, , defined by new non-Hermitian interactions V₁(x), which are also pseudoscalar. It is shown that are isospectral to the initial Hamiltonian h₀, except for certain missing states.

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Journal cover image

Vol. 21, No. 28n29

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History

Received 30 August 2005

Revised 18 April 2006

Keywords