The eigenvalue problem of one-dimensional Dirac operator

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作者
Jacek Karwowski
Artur Ishkhanyan
Andrzej Poszwa
机构
[1] Nicolaus Copernicus University,Institute of Physics
[2] Russian-Armenian University,Institute for Physical Research
[3] NAS of Armenia,Faculty of Mathematics and Computer Science
[4] University of Warmia and Mazury,undefined
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关键词
One-dimensional Dirac equation; Vector potential; Scalar potential; Pseudo-scalar potential; Super-symmetry; Effective mass; Schrödinger equation; Lévy-Leblond equation; Bound states; Non-relativistic limit; Pauli approximation;
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摘要
The 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.
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