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

This book covers key topics in multi-variable advanced calculus, including surfaces in Rn, Riemannian geometry, and applications in variational quantum mechanics and relativity theory. It also introduces a new interpretation for the Bohr atomic model and a classical description of the radiating cavity model in quantum mechanics.

Format: Paperback / softback
Length: 324 pages
Publication date: 24 July 2023
Publisher: Taylor & Francis Ltd

Here is the rephrased text:

This book delves into the realm of advanced calculus, focusing on multi-variable calculus. It begins by reviewing essential topics, including detailed examinations of surfaces in Rn, encompassing concepts such as differential forms and an abstract version of the Stokes Theorem in Rn. The conclusion section introduces readers to Riemannian geometry, a fundamental concept utilized in the subsequent chapters.

The second part of the book explores applications, particularly in variational quantum mechanics and relativity theory. It covers topics such as a variational formulation for the relativistic Klein-Gordon equation, the derivation of a variational formulation for relativistic mechanics initially through (semi)-Riemannian geometry, and a more general context that encompasses fundamentals of differential geometry.

The subsequent chapters present a novel 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.

This comprehensive text provides a solid foundation in advanced calculus, offering insights into surfaces, Riemannian geometry, and applications in quantum mechanics and relativity theory. It serves as a valuable resource for students and scholars in the field.

Weight: 616g
Dimension: 234 x 156 (mm)
ISBN-13: 9780367746490