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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

B - Odborná kniha

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2022

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

ISBN

9788021086265

Počet stran knihy

128

Název nakladatele

MUNI Press

Místo vydání

Brno

Kód UT WoS knihy

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