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Advanced Calculus and its Applications in Variational
Quantum
Mechanics
and Relativity Theory
Botelho, Fabio Silva
Milton: CRC Press 2021
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Título:
Advanced Calculus and its Applications in Variational
Quantum
Mechanics
and Relativity Theory
Autor:
Botelho, Fabio Silva
Assuntos:
Applied
Mechanics
;
Causal structures in space-time manifolds
;
Differential Calculus
;
Differential Equations
;
Manifolds
;
MATHnetBASE
;
PHYSICSnetBASE
;
Quantum
Mechanics
;
Quantum
theory
;
SCI-TECHnetBASE
;
STMnetBASE
;
Variational Formulations for Relativistic
Mechanics
;
Variational
Quantum
Mechanics
Descrição:
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
.
Editor:
Milton: CRC Press
Data de criação/publicação:
2021
Formato:
334
Idioma:
Inglês
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