The eigenvalue problem of one-dimensional Dirac operator

被引：0
|
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
来源：
Theoretical Chemistry Accounts | 2020年 / 139卷
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;
D O I：
暂无
中图分类号：
学科分类号：
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.
引用
收藏
相关论文
共 50 条
  • [1] The eigenvalue problem of one-dimensional Dirac operator
    Karwowski, Jacek
    Ishkhanyan, Artur
    Poszwa, Andrzej
    THEORETICAL CHEMISTRY ACCOUNTS, 2020, 139 (12)
  • [2] Computer Assisted Verification of the Eigenvalue Problem for One-Dimensional Schrodinger Operator
    Sekisaka, Ayuki
    Nii, Shunsaku
    MATHEMATICAL CHALLENGES IN A NEW PHASE OF MATERIALS SCIENCE, 2016, 166 : 145 - 157
  • [3] Eigenvalues of a One-Dimensional Dirac Operator Pencil
    Daniel M. Elton
    Michael Levitin
    Iosif Polterovich
    Annales Henri Poincaré, 2014, 15 : 2321 - 2377
  • [4] One-dimensional quasilinear eigenvalue problem
    D. P. Kostomarov
    Doklady Mathematics, 2010, 82 : 634 - 637
  • [5] On the existence of eigenvalues of a one-dimensional Dirac operator
    Sanchez-Mendoza, Daniel
    Winklmeier, Monika
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2025, 549 (02)
  • [6] One-Dimensional Quasilinear Eigenvalue Problem
    Kostomarov, D. P.
    DOKLADY MATHEMATICS, 2010, 82 (01) : 634 - 637
  • [7] Eigenvalues of a One-Dimensional Dirac Operator Pencil
    Elton, Daniel M.
    Levitin, Michael
    Polterovich, Iosif
    ANNALES HENRI POINCARE, 2014, 15 (12): : 2321 - 2377
  • [8] Computer assisted verification of the eigenvalue problem for one-dimensional Schrödinger operator
    Sekisaka, Ayuki
    Nii, Shunsaku
    Springer Proceedings in Mathematics and Statistics, 2016, 166 : 145 - 157
  • [9] An inverse eigenvalue problem for one dimensional Dirac operators
    M. Kiss
    Acta Mathematica Hungarica, 2017, 152 : 326 - 335
  • [10] AN INVERSE EIGENVALUE PROBLEM FOR ONE DIMENSIONAL DIRAC OPERATORS
    Kiss, M.
    ACTA MATHEMATICA HUNGARICA, 2017, 152 (02) : 326 - 335
12345