Exact solution of a quasipotential equation that describes a bound state of spinor particles

1989 ◽  
Vol 81 (2) ◽  
pp. 1141-1146
Author(s):  
V. I. Savrin ◽  
E. M. Shablygin
Keyword(s):  
Exact Solution ◽  
Bound State ◽  
Quasipotential Equation

Exact solution of a quasipotential equation by contour integration

1987 ◽  
Vol 72 (2) ◽  
pp. 819-824
Author(s):  
�. �. Boos ◽  
V. I. Savrin ◽  
E. M. Shablygin
Keyword(s):  
Exact Solution ◽  
Contour Integration ◽  
Quasipotential Equation

scholarly journals THE LOCALIZED RESONANCE EXCITATIONS ARE DESCRIBED BY EXACT SOLUTIONS OF THE MODIFIED KORTEWEG-DE VRIES EQUATION

2020 ◽  
Author(s):  
G. Khusainova ◽  
◽  
D. Khusainov ◽  
Keyword(s):  
Exact Solution ◽  
Exact Solutions ◽  
Vries Equation ◽  
Soliton Solutions ◽  
Bound State ◽  
Hirota Method ◽  
Resonance Interaction ◽  
Exponential Solution ◽  
De Vries ◽  
Exact Soliton Solutions

The exact soliton solutions of modified Korteweg-de Vries equation are obtained by procedure based on Hirota method. It has shown that thesе solutions described the bound state of soliton-antisoliton pairs which are formed in result resonance interaction of two solitons. Keywords: exact solution, rational-exponential solution, Hirota method

EXACT SOLUTION OF THE DIRAC EQUATION FOR A SINGULAR CENTRAL POWER POTENTIAL

2000 ◽  
Vol 15 (25) ◽  
pp. 1583-1588 ◽  
Author(s):  
SUBIR K. BOSE ◽  
AXEL SCHULZE-HALBERG
Keyword(s):  
Exact Solution ◽  
Excited State ◽  
Dirac Equation ◽  
Power Law ◽  
Bound State ◽  
State Solution ◽  
Bound State Solution ◽  
Coulomb Term ◽  
Coulomb Part

We compute an exact solution of the Dirac equation for a certain power law potential that consists of two parts: a scalar and a vector, where the latter contains a Coulomb term. We obtain energies that turn out to depend only on the strength of the Coulomb part of the potential, but not on the remaining power law part. We show that our ansatz also yields a bound state solution for the lowest excited state. This work is an extension of Franklins result.7

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