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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সংরক্ষণ করুন:
গ্রন্থ-পঞ্জীর বিবরন
প্রধান লেখক: Janyška, Josef (auth)
অন্যান্য লেখক: Modugno, Marco (auth)
বিন্যাস: বৈদ্যুতিক গ্রন্থের অধ্যায়
ভাষা:ইংরেজি
প্রকাশিত: Masaryk University Press 2022
মালা:Folia Facultatis Scientiarum Naturalium Universitatis Masarykianae Brunensis. Mathematica 20
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সংক্ষিপ্ত: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.
দৈহিক বর্ননা:1 electronic resource (128 p.)
আইসবিএন:CZ.MUNI.M210-8631-2022
9788021086319
9788021086265
প্রবেশাধিকার:Open Access