Smooth and F-smooth systems with applications to Covariant Quantum Mechanics.
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| Other Authors: | |
| Format: | eBook |
| Language: | English |
| Published: |
Brno :
Masaryk University,
2022.
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| Edition: | 1st ed. |
| Series: | Folia Facultatis Scientiarum Naturalium Universitatis Masarykianae Brunensis. Mathematica
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| Subjects: | |
| Online Access: | Click to View |
Table of Contents:
- Intro
- Introduction
- Smooth manifolds and F-smooth spaces
- Smooth manifolds
- F-smooth spaces
- F-smooth spaces
- F-smooth subspaces
- F-smooth maps
- Cartesian product of F-smooth spaces
- Smooth manifolds as F-smooth spaces
- Systems of maps
- Smooth systems of smooth maps
- Smooth systems of smooth maps
- Smooth structure of (bold0mu mumu SSSSSS,)
- Smooth tangent prolongation of (bold0mu mumu SSSSSS, )
- F-smooth systems of smooth maps
- F-smooth systems of smooth maps
- F-smooth tangent prolongation of (bold0mu mumu SSSSSS, )
- F-smooth vs smooth systems of maps
- Systems of sections
- Smooth systems of smooth sections
- Smooth systems of smooth sections
- Smooth structure of (bold0mu mumu SSSSSS,,)
- Smooth lifted fibred manifold
- F-smooth systems of smooth sections
- F-smooth systems of smooth sections
- F-smooth structure of bold0mu mumu SSSSSS
- F-smooth tangent prolongation of (bold0mu mumu SSSSSS, , )
- F-smooth differential operators
- F-smooth vs smooth systems of sections
- Systems of connections
- Smooth systems of smooth connections
- Smooth systems of smooth connections
- Smooth universal connection
- F-smooth systems of connections
- F-smooth connections
- F-smooth connections
- F-smooth connections in the linear case
- Applications
- Introduction to Covariant Quantum Mechanics
- System of observed quantum connections
- Quantum dynamics
- F-smooth sectional quantum fibred set
- F-smooth sectional quantum bundle
- The pre-Hilbert sectional quantum bundle
- Schrödinger connection
- List of Symbols
- Index
- Bibliography.