Advanced Calculus and its Applications in Variational Quantum Mechanics and Relativity Theory
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Published By CRC Press

9781003158912

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A Classical Description of the Radiating Cavity Model in Quantum Mechanics

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

10.1201/9781003158912-11 ◽

2021 ◽

pp. 311-316

Author(s):

Fabio Silva Botelho

Keyword(s):

Quantum Mechanics ◽

Cavity Model ◽

Classical Description

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A New Interpretation for the Bhor Atomic Model

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

10.1201/9781003158912-9 ◽

2021 ◽

pp. 234-274

Author(s):

Fabio Silva Botelho

Keyword(s):

Atomic Model ◽

New Interpretation

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A Variational Formulation for Relativistic Mechanics Based on Riemannian Geometry and its Application to the Quantum Mechanics Context

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

10.1201/9781003158912-7 ◽

2021 ◽

pp. 189-206

Author(s):

Fabio Silva Botelho

Keyword(s):

Quantum Mechanics ◽

Riemannian Geometry ◽

Variational Formulation

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A Variational Formulation for the Relativistic Klein-Gordon Equation

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

10.1201/9781003158912-5 ◽

2021 ◽

pp. 128-161

Author(s):

Fabio Silva Botelho

Keyword(s):

Variational Formulation ◽

Gordon Equation ◽

Klein Gordon ◽

Klein Gordon Equation

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Manifolds in ℝ n

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

10.1201/9781003158912-3 ◽

2021 ◽

pp. 61-126

Author(s):

Fabio Silva Botelho

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Some Numerical Results and Examples

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

10.1201/9781003158912-6 ◽

2021 ◽

pp. 162-188

Author(s):

Fabio Silva Botelho

Keyword(s):

Numerical Results

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Existence and Duality for Superconductivity and Related Models

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

10.1201/9781003158912-10 ◽

2021 ◽

pp. 275-310

Author(s):

Fabio Silva Botelho

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A General Variational Formulation for Relativistic Mechanics Based on Fundamentals of Differential Geometry

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

10.1201/9781003158912-8 ◽

2021 ◽

pp. 207-233

Author(s):

Fabio Silva Botelho

Keyword(s):

Differential Geometry ◽

Variational Formulation

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The Implicit Function Theorem and Related Results

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

10.1201/9781003158912-2 ◽

2021 ◽

pp. 2-60

Author(s):

Fabio Silva Botelho

Keyword(s):

Implicit Function Theorem ◽

Implicit Function

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