Advanced Calculus and its Applications in Variational Quantum Mechanics and Relativity Theory
eBook - PDF

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

Fabio Silva Botelho

  1. 324 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

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

Fabio Silva Botelho

Book details
Table of contents
Citations

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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Information

Publisher
CRC Press
Year
2021
ISBN
9781000411027
Edition
1
Topic
Mathematics
Subtopic
Applied Mathematics
Index
Mathematics

Table of contents

Citation styles for Advanced Calculus and its Applications in Variational Quantum Mechanics and Relativity Theory

APA 6 Citation

Botelho, F. S. (2021). Advanced Calculus and its Applications in Variational Quantum Mechanics and Relativity Theory (1st ed.). CRC Press. Retrieved from https://www.perlego.com/book/2669649/advanced-calculus-and-its-applications-in-variational-quantum-mechanics-and-relativity-theory-pdf (Original work published 2021)

Chicago Citation

Botelho, Fabio Silva. (2021) 2021. Advanced Calculus and Its Applications in Variational Quantum Mechanics and Relativity Theory. 1st ed. CRC Press. https://www.perlego.com/book/2669649/advanced-calculus-and-its-applications-in-variational-quantum-mechanics-and-relativity-theory-pdf.

Harvard Citation

Botelho, F. S. (2021) Advanced Calculus and its Applications in Variational Quantum Mechanics and Relativity Theory. 1st edn. CRC Press. Available at: https://www.perlego.com/book/2669649/advanced-calculus-and-its-applications-in-variational-quantum-mechanics-and-relativity-theory-pdf (Accessed: 15 October 2022).

MLA 7 Citation

Botelho, Fabio Silva. Advanced Calculus and Its Applications in Variational Quantum Mechanics and Relativity Theory. 1st ed. CRC Press, 2021. Web. 15 Oct. 2022.