TY  - CONF
A1  - Kravchenko, Vladislav
A2  - Gürlebeck, Klaus
A2  - Könke, Carsten
T1  - NEW APPLICATIONS OF PSEUDOANALYTIC FUNCTION THEORY
N2  - 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.
KW  - Architektur <Informatik>
KW  - CAD
KW  - Computerunterstütztes Verfahren
Y1  - 2006
UR  - https://e-pub.uni-weimar.de/opus4/frontdoor/index/index/docId/2983
UR  - https://nbn-resolving.org/urn:nbn:de:gbv:wim2-20170327-29835
UR  - http://euklid.bauing.uni-weimar.de/ikm2006/index.php_lang=de&what=papers.html
ER  -