On the Klein-Gordon equation and hyperbolic pseudoanalytic function theory

Details On the Klein-Gordon equation and hyperbolic pseudoanalytic function theory On the Klein-Gordon equation and hyperbolic pseudoanalytic function theory

2007-09-14

arxiv.org/abs/0709.2337v2

J. of Phys. A, 2008, v. 41 065205

Physics

Mathematical Physics

Scientific paper

10.1088/1751-8113/41/6/065205

Elliptic pseudoanalytic function theory was considered independently by Bers and Vekua decades ago. In this paper we develop a hyperbolic analogue of pseudoanalytic function theory using the algebra of hyperbolic numbers. We consider the Klein-Gordon equation with a potential. With the aid of one particular solution we factorize the Klein-Gordon operator in terms of two Vekua-type operators. We show that real parts of the solutions of one of these Vekua-type operators are solutions of the considered Klein-Gordon equation. Using hyperbolic pseudoanalytic function theory, we then obtain explicit construction of infinite systems of solutions of the Klein-Gordon equation with potential. Finally, we give some examples of application of the proposed procedure.

Affiliated with

Also associated with

No associations

Rating

On the Klein-Gordon equation and hyperbolic pseudoanalytic function theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the Klein-Gordon equation and hyperbolic pseudoanalytic function theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Klein-Gordon equation and hyperbolic pseudoanalytic function theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-616882