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NEW APPLICATIONS OF PSEUDOANALYTIC FUNCTION THEORY

  • 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 theWe 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.show moreshow less

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Metadaten
Document Type:Conference Proceeding
Author: Vladislav Kravchenko
DOI (Cite-Link):https://doi.org/10.25643/bauhaus-universitaet.2983Cite-Link
URN (Cite-Link):https://nbn-resolving.org/urn:nbn:de:gbv:wim2-20170327-29835Cite-Link
URL:http://euklid.bauing.uni-weimar.de/ikm2006/index.php_lang=de&what=papers.html
Editor: Klaus GürlebeckGND, Carsten KönkeORCiDGND
Language:English
Date of Publication (online):2017/03/25
Date of first Publication:2006/07/14
Release Date:2017/03/27
Publishing Institution:Bauhaus-Universität Weimar
Creating Corporation:Bauhaus-Universität Weimar
Institutes:Bauhaus-Universität Weimar / In Zusammenarbeit mit der Bauhaus-Universität Weimar
Pagenumber:3
GND Keyword:Architektur <Informatik>; CAD; Computerunterstütztes Verfahren
Dewey Decimal Classification:500 Naturwissenschaften und Mathematik / 510 Mathematik
BKL-Classification:56 Bauwesen / 56.03 Methoden im Bauingenieurwesen
Collections:Bauhaus-Universität Weimar / Internationales Kolloquium über Anwendungen der Informatik und Mathematik in Architektur und Bauwesen, IKM, Weimar / Internationales Kolloquium über Anwendungen der Informatik und Mathematik in Architektur und Bauwesen, IKM, Weimar, 17. 2006
Licence (German):License Logo Creative Commons 4.0 - Namensnennung-Nicht kommerziell (CC BY-NC 4.0)