Exact Solution to the One-Dimensional Dirac Equation with Time Varying Mass

2003 ◽  
Vol 40 (3) ◽  
pp. 283-284
Author(s):  
Yang Jin ◽  
Xiang An-Ping ◽  
Yu Wan-Lun
Keyword(s):  
Exact Solution ◽  
Dirac Equation ◽  
Time Varying ◽  
One Dimensional ◽  
The One ◽  
Varying Mass

Exact solution to the one-dimensional Dirac equation of linear potential

2007 ◽  
Vol 16 (4) ◽  
pp. 897-900 ◽  
Author(s):  
Long Chao-Yun ◽  
Qin Shui -Jie
Keyword(s):  
Exact Solution ◽  
Dirac Equation ◽  
Linear Potential ◽  
One Dimensional ◽  
The One

scholarly journals Intertwining technique for the one-dimensional stationary Dirac equation

2003 ◽  
Vol 305 (2) ◽  
pp. 151-189 ◽  
Author(s):  
L.M. Nieto ◽  
A.A. Pecheritsin ◽  
Boris F. Samsonov
Keyword(s):  
Dirac Equation ◽  
One Dimensional ◽  
The One ◽  
Stationary Dirac Equation

Unilateral Global Bifurcation from Infinity in Nonlinearizable One-Dimensional Dirac Problems

2021 ◽  
Vol 31 (01) ◽  
pp. 2150005
Author(s):  
Ziyatkhan S. Aliyev ◽  
Nazim A. Neymatov ◽  
Humay Sh. Rzayeva
Keyword(s):  
Dirac Equation ◽  
Eigenvalue Problems ◽  
Global Bifurcation ◽  
Nontrivial Solutions ◽  
One Dimensional ◽  
Bifurcation From Infinity ◽  
The One ◽  
Nodal Properties

In this paper, we study the unilateral global bifurcation from infinity in nonlinearizable eigenvalue problems for the one-dimensional Dirac equation. We show the existence of two families of unbounded continua of the set of nontrivial solutions emanating from asymptotically bifurcation intervals and having the usual nodal properties near these intervals.

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