Variational Principles in Dynamics and Quantum Theory (Dover Books on Physics)

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9780486458885: Variational Principles in Dynamics and Quantum Theory (Dover Books on Physics)

Focusing on applications most relevant to modern physics, this text surveys variational principles and examines their relationship to dynamics and quantum theory. It stresses the history and theory of these mathematical concepts rather than their mechanics, providing many insights into the development of quantum mechanics in a remarkably lucid, compact form. Professional physicists and mathematicians, as well as advanced students with a strong mathematical background, will find it highly stimulating.
After summarizing the historical background from Pythagoras to Francis Bacon, the text covers Fermat's principle of least time, the principle of least action of Maupertuis, the development of this principle by Euler and Lagrange, and the equations of Lagrange and Hamilton. After this general treatment of variational principles, the authors proceed to derive Hamilton's principle, the Hamilton-Jacobi equation, and Hamilton's canonical equations.
An investigation of electrodynamics in Hamiltonian form follows, along with an overview of variational principles in classical dynamics. The text then analyzes its most significant topics: the relation between variational principles and wave mechanics, and the principles of Feynman and Schwinger in quantum mechanics. Two concluding chapters extend the discussion to hydrodynamics and natural philosophy.

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Descripción 2007. PAP. Estado de conservación: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Nº de ref. de la librería V0-9780486458885

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Descripción Dover Publishers. Estado de conservación: New. Brand New. Nº de ref. de la librería 0486458881

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Descripción Dover Publications, 2007. Paperback. Estado de conservación: New. Never used!. Nº de ref. de la librería 0486458881

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Descripción Dover Publications Inc., United States, 2007. Paperback. Estado de conservación: New. 3rd edition. Language: English . Brand New Book. Focusing on applications most relevant to modern physics, this text surveys variational principles and examines their relationship to dynamics and quantum theory. It stresses the history and theory of these mathematical concepts rather than their mechanics, providing many insights into the development of quantum mechanics in a remarkably lucid, compact form. Professional physicists and mathematicians, as well as advanced students with a strong mathematical background, will find it highly stimulating. After summarizing the historical background from Pythagoras to Francis Bacon, the text covers Fermat s principle of least time, the principle of least action of Maupertuis, the development of this principle by Euler and Lagrange, and the equations of Lagrange and Hamilton. After this general treatment of variational principles, the authors proceed to derive Hamilton s principle, the Hamilton-Jacobi equation, and Hamilton s canonical equations. An investigation of electrodynamics in Hamiltonian form follows, along with an overview of variational principles in classical dynamics. The text then analyzes its most significant topics: the relation between variational principles and wave mechanics, and the principles of Feynman and Schwinger in quantum mechanics. Two concluding chapters extend the discussion to hydrodynamics and natural philosophy. Nº de ref. de la librería AAC9780486458885

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Descripción Dover Publications Inc., United States, 2007. Paperback. Estado de conservación: New. 3rd edition. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. Focusing on applications most relevant to modern physics, this text surveys variational principles and examines their relationship to dynamics and quantum theory. It stresses the history and theory of these mathematical concepts rather than their mechanics, providing many insights into the development of quantum mechanics in a remarkably lucid, compact form. Professional physicists and mathematicians, as well as advanced students with a strong mathematical background, will find it highly stimulating. After summarizing the historical background from Pythagoras to Francis Bacon, the text covers Fermat s principle of least time, the principle of least action of Maupertuis, the development of this principle by Euler and Lagrange, and the equations of Lagrange and Hamilton. After this general treatment of variational principles, the authors proceed to derive Hamilton s principle, the Hamilton-Jacobi equation, and Hamilton s canonical equations. An investigation of electrodynamics in Hamiltonian form follows, along with an overview of variational principles in classical dynamics. The text then analyzes its most significant topics: the relation between variational principles and wave mechanics, and the principles of Feynman and Schwinger in quantum mechanics. Two concluding chapters extend the discussion to hydrodynamics and natural philosophy. Nº de ref. de la librería BTE9780486458885

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Wolfgang Yourgrau, Stanley Mandelstam
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ISBN 10: 0486458881 ISBN 13: 9780486458885
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Descripción Dover Publications Inc., United States, 2007. Paperback. Estado de conservación: New. 3rd edition. Language: English . Brand New Book. Focusing on applications most relevant to modern physics, this text surveys variational principles and examines their relationship to dynamics and quantum theory. It stresses the history and theory of these mathematical concepts rather than their mechanics, providing many insights into the development of quantum mechanics in a remarkably lucid, compact form. Professional physicists and mathematicians, as well as advanced students with a strong mathematical background, will find it highly stimulating. After summarizing the historical background from Pythagoras to Francis Bacon, the text covers Fermat s principle of least time, the principle of least action of Maupertuis, the development of this principle by Euler and Lagrange, and the equations of Lagrange and Hamilton. After this general treatment of variational principles, the authors proceed to derive Hamilton s principle, the Hamilton-Jacobi equation, and Hamilton s canonical equations. An investigation of electrodynamics in Hamiltonian form follows, along with an overview of variational principles in classical dynamics. The text then analyzes its most significant topics: the relation between variational principles and wave mechanics, and the principles of Feynman and Schwinger in quantum mechanics. Two concluding chapters extend the discussion to hydrodynamics and natural philosophy. Nº de ref. de la librería AAC9780486458885

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