The eigenvalue problem of one-dimensional Dirac operator

Author:

Karwowski JacekORCID,Ishkhanyan Artur,Poszwa Andrzej

Abstract

AbstractThe properties of the eigenvalue problem of the one-dimensional Dirac operator are discussed in terms of the mutual relations between vector, scalar and pseudo-scalar contributions to the potential. Relations to the exact solubility are analyzed.

Funder

State Committee of Science

Armenian National Science and Education Fund

Russian-Armenian (Slavonic) University

Nicolaus Copernicus University

Publisher

Springer Science and Business Media LLC

Subject

Physical and Theoretical Chemistry

Reference66 articles.

1. Karwowski J (2017) Dirac operator and its properties. In: Liu W (ed) Handbook of relativistic quantum chemistry. Springer, Berlin, pp 3–49

2. Bonneau G, Faraut J, Valent G (2001) Self-adjoint extensions of operators and the teaching of quantum mechanics. Am J Phys 69:322–331

3. Gitman DM, Tyutin IV, Voronov BL (2012) Self-adjoint extensions in quantum mechanics general theory and applications to Schrdinger and Dirac equations with singular potentials. Springer, New York, pp 207–212

4. Greiner W (1981) Theoretische Physik, Vol. 6: Relativistische Quantenmechanik, Chapter 9. Harri Deutsch, Frankfurt am Main

5. Sukumar CV (1985) Supersymmetric quantum mechanics in one-dimensional systems. J Phys A Math Gen 18:2917–2936

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