Smooth and F-smooth systems with applications to Covariant Quantum Mechanics
Title in English: Smooth and F-smooth systems with applications to Covariant Quantum Mechanics We review the geometric theory of smooth systems of smooth maps, of smooth systems of smooth sections of a smooth double fibred manifold and of smooth systems of smooth connections of a smooth fibred manif...
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| Váldodahkkit: | , |
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| Materiálatiipa: | Online |
| Giella: | eaŋgalasgiella |
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Masaryk University Press
2022
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| Fáttát: | |
| Liŋkkat: | ONIX_20220317_9788021086319_50 |
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| _version_ | 1869528863084642304 |
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| author | Janyška, Josef Modugno, Marco |
| author_browse | Janyška, Josef Modugno, Marco |
| author_facet | Janyška, Josef Modugno, Marco |
| author_sort | Janyška, Josef |
| collection | Directory of Open Access Books |
| description | Title in English: Smooth and F-smooth systems with applications to Covariant Quantum Mechanics We review the geometric theory of smooth systems of smooth maps, of smooth systems of smooth sections of a smooth double fibred manifold and of smooth systems of smooth connections of a smooth fibred manifold. Moreover, after reviewing the concept of F-smooth space due to A. Froelicher, we discuss the F-smooth systems of smooth maps, the F-smooth systems of fibrewisely smooth sections of a smooth double fibred manifold, the F-smooth systems of fibrewisely smooth connections of a smooth fibred manifold and of F-smooth connections of an F-smooth system of fibrewisely 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 Schroedinger operator regarded as an F-smooth connection of the F-smoth sectional quantum bundle. |
| format | Online |
| id | doab-20.500.12854ir-79450 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2022 |
| publishDateRange | 2022 |
| publishDateSort | 2022 |
| publisher | Masaryk University Press |
| publisherStr | Masaryk University Press |
| record_format | ojs |
| spelling | doab-20.500.12854ir-794502024-04-14T13:03:40Z Smooth and F-smooth systems with applications to Covariant Quantum Mechanics Janyška, Josef Modugno, Marco Systems of maps systems of sections systems of connections universal connection F-smooth spaces F-smooth space of maps F-smooth space of sections F-smooth space of connections F-smooth connections Covariant Quantum Mechanics quantum bundle thema EDItEUR::Y Children’s, Teenage and Educational::YP Educational material::YPM Educational: Mathematics, science and technology, general::YPMF Educational: Mathematics and numeracy thema EDItEUR::P Mathematics and Science::PB Mathematics Title in English: Smooth and F-smooth systems with applications to Covariant Quantum Mechanics We review the geometric theory of smooth systems of smooth maps, of smooth systems of smooth sections of a smooth double fibred manifold and of smooth systems of smooth connections of a smooth fibred manifold. Moreover, after reviewing the concept of F-smooth space due to A. Froelicher, we discuss the F-smooth systems of smooth maps, the F-smooth systems of fibrewisely smooth sections of a smooth double fibred manifold, the F-smooth systems of fibrewisely smooth connections of a smooth fibred manifold and of F-smooth connections of an F-smooth system of fibrewisely 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 Schroedinger operator regarded as an F-smooth connection of the F-smoth sectional quantum bundle. 2022-03-17T08:43:29Z 2022-03-17T08:43:29Z 2022 book ONIX_20220317_9788021086319_50 9788021086319 9788021086265 https://directory.doabooks.org/handle/20.500.12854/79450 eng Folia Facultatis Scientiarum Naturalium Universitatis Masarykianae Brunensis. Mathematica image/jpeg Attribution-NonCommercial-NoDerivatives 4.0 International https://munishop.muni.cz/obchod/knihy/smooth-and-f-smooth-systems-with-applications-to-covariant-quantum-mechanics-00003028626 https://munispace.muni.cz/library/catalog/download/2140/6091/3487-1 Masaryk University Press Masaryk University 10.5817/CZ.MUNI.M210-8631-2022 10.5817/CZ.MUNI.M210-8631-2022 82b3cf0f-24e2-456e-bac8-74f7c6371e02 9788021086319 9788021086265 Masaryk University 20 128 open access |
| spellingShingle | Systems of maps systems of sections systems of connections universal connection F-smooth spaces F-smooth space of maps F-smooth space of sections F-smooth space of connections F-smooth connections Covariant Quantum Mechanics quantum bundle thema EDItEUR::Y Children’s, Teenage and Educational::YP Educational material::YPM Educational: Mathematics, science and technology, general::YPMF Educational: Mathematics and numeracy thema EDItEUR::P Mathematics and Science::PB Mathematics Janyška, Josef Modugno, Marco Smooth and F-smooth systems with applications to Covariant Quantum Mechanics |
| title | Smooth and F-smooth systems with applications to Covariant Quantum Mechanics |
| title_full | Smooth and F-smooth systems with applications to Covariant Quantum Mechanics |
| title_fullStr | Smooth and F-smooth systems with applications to Covariant Quantum Mechanics |
| title_full_unstemmed | Smooth and F-smooth systems with applications to Covariant Quantum Mechanics |
| title_short | Smooth and F-smooth systems with applications to Covariant Quantum Mechanics |
| title_sort | smooth and f smooth systems with applications to covariant quantum mechanics |
| topic | Systems of maps systems of sections systems of connections universal connection F-smooth spaces F-smooth space of maps F-smooth space of sections F-smooth space of connections F-smooth connections Covariant Quantum Mechanics quantum bundle thema EDItEUR::Y Children’s, Teenage and Educational::YP Educational material::YPM Educational: Mathematics, science and technology, general::YPMF Educational: Mathematics and numeracy thema EDItEUR::P Mathematics and Science::PB Mathematics |
| topic_facet | Systems of maps systems of sections systems of connections universal connection F-smooth spaces F-smooth space of maps F-smooth space of sections F-smooth space of connections F-smooth connections Covariant Quantum Mechanics quantum bundle thema EDItEUR::Y Children’s, Teenage and Educational::YP Educational material::YPM Educational: Mathematics, science and technology, general::YPMF Educational: Mathematics and numeracy thema EDItEUR::P Mathematics and Science::PB Mathematics |
| url | ONIX_20220317_9788021086319_50 |
| work_keys_str_mv | AT janyskajosef smoothandfsmoothsystemswithapplicationstocovariantquantummechanics AT modugnomarco smoothandfsmoothsystemswithapplicationstocovariantquantummechanics |