Variational Principles In Dynamics And Quantum Theory (Dover Books On Physics)

Variational Principles In Dynamics And Quantum Theory (Dover Books On Physics)

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Concentrating Upon Applications That Are Most Relevant To Modern Physics, This Valuable Book Surveys Variational Principles And Examines Their Relationship To Dynamics And Quantum Theory. Stressing The History And Theory Of These Mathematical Concepts Rather Than The Mechanics, The Authors Provide Many Insights Into The Development Of Quantum Mechanics And Present Much Hardtofind Material In A Remarkably Lucid, Compact Form.After Summarizing The Historical Background From Pythagoras To Francis Bacon, Professors Yourgrau And Mandelstram Cover Fermat'S Principle Of Least Time, The Principle Of Least Action Of Maupertuis, Development Of This Principle By Euler And Lagrange, And The Equations Of Lagrange And Hamilton. Equipped By This Thorough Preparation To Treat Variational Principles In General, They Proceed To Derive Hamilton'S Principle, The Hamiltonjacobi Equation, And Hamilton'S Canonical Equations.An Investigation Of Electrodynamics In Hamiltonian Form Covers Next, Followed By A Resume Of Variational Principles In Classical Dynamics. The Authors Then Launch Into An Analysis Of Their 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.Professional Physicists, Mathematicians, And Advanced Students With A Strong Mathematical Background Will Find This Stimulating Volume Invaluable Reading. Extremely Popular In Its Hardcover Edition, This Volume Will Find Even Wider Appreciation In Its First Fine Inexpensive Paperbound Edition.

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Frequently Asked Questions

  • Q: What is the main focus of 'Variational Principles in Dynamics and Quantum Theory'? A: The book primarily focuses on the applications of variational principles in relation to dynamics and quantum theory, emphasizing the historical and theoretical aspects of these mathematical concepts.
  • Q: Who are the authors of this book? A: The book is authored by Wolfgang Yourgrau and Stanley Mandelstam, both of whom are recognized experts in the field of physics.
  • Q: What topics are covered in this book? A: Key topics include Fermat's principle of least time, the principle of least action, Hamilton's principle, wave mechanics, and the principles of Feynman and Schwinger in quantum mechanics.
  • Q: Is this book suitable for beginners in physics? A: This book is intended for professional physicists, mathematicians, and advanced students with a strong mathematical background, making it less suitable for beginners.
  • Q: What is the page count of the book? A: The book contains a total of 224 pages.
  • Q: What edition of the book is available? A: The currently available edition is the third edition, published in 2011.
  • Q: What is the condition of this book? A: The book is listed as being in 'Good' condition, indicating it may have minor wear but is generally well-preserved.
  • Q: What type of binding does this book have? A: The book is available in a paperback binding, making it lightweight and easy to handle.
  • Q: When was this book originally published? A: The original publication date of the book is January 1, 1979.
  • Q: Can this book help with understanding quantum mechanics? A: Yes, the book provides valuable insights into quantum mechanics and is particularly useful for those looking to deepen their understanding of its mathematical foundations.