Smooth and F-smooth systems with applications to Covariant Quantum Mechanics

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F22%3A00125299" target="_blank" >RIV/00216224:14310/22:00125299 - isvavai.cz</a>
Result on the web
<a href="https://munispace.muni.cz/library/catalog/book/2140" target="_blank" >https://munispace.muni.cz/library/catalog/book/2140</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.5817/CZ.MUNI.M210-8631-2022" target="_blank" >10.5817/CZ.MUNI.M210-8631-2022</a>

Result language
angličtina
Original language name
Smooth and F-smooth systems with applications to Covariant Quantum Mechanics
Original language description
We review the geometric theory of smooth systems of smooth maps, of smooth systems of smooth sections of a smooth double bred manifold and of smooth systems of smooth connections of a smooth bred manifold. Moreover, after reviewing the concept of F{smooth space due to A. Frolicher, we discuss the F{smooth systems of smooth maps, the F{smooth systems of brewisely smooth sections of a smooth double bred manifold, the F{smooth systems of brewisely smooth connections of a smooth bred manifold and of F{smooth connections of an F{smooth system of brewisely smooth sections. Further, we discuss three applications of the general geometric theory, which are taken in the framework of Covariant Quantum Mechanics. Namely, we discuss the smooth upper quantum connection, the F{smooth sectional quantum bundle and the Schrodinger operator regarded as an F{smooth connection of the F{smooth sectional quantum bundle.
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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