Third-order superintegrable systems with potentials satisfying only nonlinear equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F15%3A00233345" target="_blank" >RIV/68407700:21340/15:00233345 - isvavai.cz</a>
Result on the web
<a href="http://scitation.aip.org/content/aip/journal/jmp/56/10/10.1063/1.4933218" target="_blank" >http://scitation.aip.org/content/aip/journal/jmp/56/10/10.1063/1.4933218</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/1.4933218" target="_blank" >10.1063/1.4933218</a>

Result language
angličtina
Original language name
Third-order superintegrable systems with potentials satisfying only nonlinear equations
Original language description
The conditions for superintegrable systems in two-dimensional Euclidean space admitting separation of variables in an orthogonal coordinate system and a functionally independent third-order integral are studied. It is shown that only systems that separate in subgroup type coordinates, Cartesian or polar, admit potentials that can be described in terms of nonlinear special functions. Systems separating in parabolic or elliptic coordinates are shown to have potentials with only non-movable singularities.
Czech name
—
Czech description
—

Project
<a href="/en/project/EE2.3.30.0034" target="_blank" >EE2.3.30.0034: Support of inter-sectoral mobility and quality enhancement of research teams at Czech Technical University in Prague</a>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP) S - Specificky vyzkum na vysokych skolach I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)