@inproceedings{Kravchenko, author = {Kravchenko, Vladislav}, title = {NEW APPLICATIONS OF PSEUDOANALYTIC FUNCTION THEORY}, editor = {G{\"u}rlebeck, Klaus and K{\"o}nke, Carsten}, organization = {Bauhaus-Universit{\"a}t Weimar}, doi = {10.25643/bauhaus-universitaet.2983}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170327-29835}, pages = {3}, abstract = {We show a close relation between the Schr{\"o}dinger 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 Schr{\"o}dinger 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.}, subject = {Architektur }, language = {en} }