The first part of this book reviews some key topics on
multi-variable advanced calculus. The approach presented includes
detailed and rigorous studies on surfaces in Rn which comprises
items such as differential forms and an abstract version of the
Stokes Theorem in Rn. The conclusion section introduces readers to
Riemannian geometry, which is used in the subsequent chapters. The
second part reviews applications, specifically in variational
quantum mechanics and relativity theory. Topics such as a
variational formulation for the relativistic Klein-Gordon equation,
the derivation of a variational formulation for relativistic
mechanics firstly through (semi)-Riemannian geometry are covered.
The second part has a more general context. It includes
fundamentals of differential geometry. The later chapters describe
a new interpretation for the Bohr atomic model through a
semi-classical approach. The book concludes with a classical
description of the radiating cavity model in quantum mechanics.
General
| Imprint: |
Crc Press
|
| Country of origin: |
United Kingdom |
| Release date: |
July 2023 |
| First published: |
2022 |
| Authors: |
Fabio Silva Botelho
|
| Dimensions: |
234 x 156 x 18mm (L x W x T) |
| Format: |
Paperback
|
| Pages: |
324 |
| ISBN-13: |
978-0-367-74649-0 |
| Categories: |
Books
|
| LSN: |
0-367-74649-2 |
| Barcode: |
9780367746490 |
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