eBook - PDF

Advanced Calculus and its Applications in Variational Quantum Mechanics and Relativity Theory

Name: Advanced Calculus and its Applications in Variational Quantum Mechanics and Relativity Theory
ISBN: 9781000411027

Fabio Silva Botelho,

324 pages
English
PDF
Available on iOS & Android

eBook - PDF

Advanced Calculus and its Applications in Variational Quantum Mechanics and Relativity Theory

Fabio Silva Botelho,

About this book

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.

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Yes, you can access Advanced Calculus and its Applications in Variational Quantum Mechanics and Relativity Theory by Fabio Silva Botelho in PDF and/or ePUB format, as well as other popular books in Mathematics & Counting & Numeration. We have over one million books available in our catalogue for you to explore.