Refine
Institute
- In Zusammenarbeit mit der Bauhaus-Universität Weimar (92)
- Institut für Strukturmechanik (ISM) (10)
- Professur Angewandte Mathematik (6)
- Institut für Konstruktiven Ingenieurbau (IKI) (4)
- Professur Informatik in der Architektur (3)
- Institut für Bauinformatik, Mathematik und Bauphysik (IBMB) (2)
- Professur Bodenmechanik (2)
- Professur Stahlbau (2)
- Professur Tragwerkslehre (2)
- Professur Bauphysik (1)
Keywords
- CAD (125) (remove)
Year of publication
- 2006 (125) (remove)
We show a close relation between the Schrödinger equation and the conductivity equation to a Vekua equation of a special form. Under quite general conditions we propose an algorithm for explicit construction of pseudoanalytic positive formal powers for the Vekua equation that as a consequence gives us a complete system of solutions for the Schrödinger and the conductivity equations. Besides the construction of complete systems of exact solutions for the above mentioned second order equations and the Dirac equation, we discuss some other applications of pseudoanalytic function theory.