Solutions of Dirac Equation for Makarov Potential with Pseudospin Symmetry

In these two papers (I) and (II), the singular upper triangle type solutions with spin 1/2 of quantum Yang-Baxter equation are given. In the Paper (I), we give the Yang-Baxter equation and give the general solutions of some function equations for the next paper.

Yang–Baxter equation

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Reply to: “Comment on: ‘Solution of the Dirac equation for the Woods–Saxon potential with spin and pseudospin symmetry’ ” [Phys. Lett. A 350 (2005) 421]

Physics Letters A (2005)

Jian-You Guo Zong‐Qiang Sheng

Woods–Saxon potential

10.1016/j.physleta.2005.10.085

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Exact Solutions of Multidimensional Nonlinear Dirac's and Schrodinger's Equations

W. I. Fushchich

The main efforts of W. Heinseberg directed into the construction of unified quantum field theory based on eq. (1) with the nonlinearities (3), (4). In the works by R. Finkelstein and his collaborators (1951–1956) eq. (1) has been studied from the classical point of view, i.e. they studied the exact and approximate solutions of spinor systems of the type (1). Some exact solutions of the Dirac equation were obtained by F. Kortel (1956), D. Kurgeleidze (1957), K.G. Akdezin., A. Smailogic (1984), A.O. Barut, B.W. Xu (1982), K. Takahashi (1979).

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A comment on the new Dirac-like spin-³/₂wave equation of Jayaraman

Journal of Physics A Mathematical and General (1977)

D. L. Weaver

The new spin-3/2 wave equation of Jayaraman (see ibid., vol.9, p.L131 (1976)) is shown to be an eight-dimensional form of the Dirac equation.

10.1088/0305-4470/10/8/022

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Comment on “Removable singularities for solutions of coupled Yang-Mills-Dirac equations” [J. Math. Phys. 47, 103502 (2006)]

Journal of Mathematical Physics (2007)

Thomas H. Otway

A lemma from elliptic theory is used to improve a recent result by Li [J. Math. Phys. 47, 103502 (2006)] concerning the removability of an isolated point singularity from solutions of the coupled Yang-Mills-Dirac equations.

Lemma (botany)

Yang–Mills theory

10.1063/1.2752011

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Comment on “The hidden symmetry for a quantum system with an infinitely deep square-well potential,” by Shi-Hai Dong and Zhong-Qi Ma [Am. J. Phys. 70 (5), 520–521 (2002)]

American Journal of Physics (2003)

Asim Gangopadhyaya Jeffry V. Mallow

Square (algebra)

Finite potential well

10.1119/1.1514205

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Comment on “A simpler solution of the Dirac equation in a Coulomb potential,” by Bernard Goodman and Siniša R. Ignjatović [Am. J. Phys. 65 (3), 214–221 (1997)]

American Journal of Physics (1998)

Radosław Szmytkowski

Views Icon Views Article contents Figures & tables Video Audio Supplementary Data Peer Review Share Icon Share Twitter Facebook Reddit LinkedIn Tools Icon Tools Reprints and Permissions Cite Icon Cite Search Site Citation Radosław Szmytkowski; Comment on “A simpler solution of the Dirac equation in a Coulomb potential,” by Bernard Goodman and Siniša R. Ignjatović [Am. J. Phys. 65 (3), 214–221 (1997)]. American Journal of Physics 1 July 1998; 66 (7): 635. https://doi.org/10.1119/1.18920 Download citation file: Ris (Zotero) Reference Manager EasyBib Bookends Mendeley Papers EndNote RefWorks BibTex toolbar search Search Dropdown Menu toolbar search search input Search input auto suggest filter your search All ContentAmerican Association of Physics TeachersAmerican Journal of Physics Search Advanced Search |Citation Search

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10.1119/1.18920

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Perturbation to Lie Symmetry and Hojman Exact and Adiabatic Invariants of Generalized Raitzin Canonical Equation of Motion

理论物理通讯：英文版 (2007)

Wang Peng Fang Jianhui Ding

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Comment on: “Solution of the Dirac equation for the Woods–Saxon potential with spin and pseudospin symmetry” [Phys. Lett. A 338 (2005) 90]