QUASI-EXACTLY SOLVABLE RADIAL DIRAC EQUATIONS-Reference-Cited by-同舟云学术

QUASI-EXACTLY SOLVABLE RADIAL DIRAC EQUATIONS

Published:1998-06-14 Issue:18 Volume:13 Page:1445-1452
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

BRIHAYE Y.¹,KOSINSKI PIOTR²

Affiliation:

1. Department of Mathematical Physics, University of Mons-Hainaut, Place du Parc, B-7000 Mons, Belgium

2. Department of Theoretical Physics, University of Łodz, Pomorska 149/153, 90-236 Łodz, Poland

Abstract

In the background of a central Coulomb potential, the Schrödinger and Dirac equations lead to exactly solvable spectral problems. When the Schrödinger–Coulomb equation is supplemented by a Harmonic potential, the corresponding spectral problem still possesses a finite number of algebraic solutions: it is quasi-exactly solvable. In this letter we analyze the spectral problem corresponding to the Dirac–Coulomb problem supplemented by a linear radial potential and we show that it also leads to quasi-exactly solvable equations.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732398001522

Reference7 articles.

1. Quasi-exactly-solvable problems andsl(2) algebra

2. Two electrons in an external oscillator potential: The hidden algebraic structure

3. CENTRAL POTENTIALS AND EXAMPLES OF HIDDEN ALGEBRA STRUCTURE

4. Analytic green function and bound states for the screened coulomb potential V(r) = F/r2 + G/r + H/(r + z2)

5. Exact solution of the Dirac equation for a Coulomb and scalar potential in the presence of an Aharonov–Bohm and a magnetic monopole fields

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