David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Philadelphia, Saunders (1968)
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 hard-to-find 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 Hamilton-Jacobi 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.
|Keywords||Physics Philosophy Dynamics of a particle Quantum theory|
|Categories||categorize this paper)|
|Buy the book||$5.80 used (56% off) $6.85 new (48% off) $12.28 direct from Amazon (6% off) Amazon page|
|Call number||QC6.Y6 1968b|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
Joel Katzav (2004). Dispositions and the Principle of Least Action. Analysis 64 (3):206–214.
G. Szamosi (1973). Variational Principle in Thermodynamics. Foundations of Physics 3 (2):241-246.
A. Stark (1975). Variational Properties of Irreversible Processes. Foundations of Physics 5 (3):481-490.
David John Miller (2008). Quantum Mechanics as a Consistency Condition on Initial and Final Boundary Conditions. Studies in History and Philosophy of Science Part B 39 (4):767-781.
Patrick Sibelius (1990). The Mechanical and the Wave-Theoretical Aspects of Momentum Considering Discrete Action. Foundations of Physics 20 (9):1033-1059.
Similar books and articles
Paul M. Clark (ed.) (1981). Modern Physics and Problems of Knowledge. Open University Press.
Abner Shimony (1990). Desiderata for a Modified Quantum Dynamics. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1990:49 - 59.
A. Arageorgis, J. Earman & L. Ruetsche (2002). Weyling the Time Away: The Non-Unitary Implementability of Quantum Field Dynamics on Curved Spacetime. Studies in History and Philosophy of Science Part B 33 (2):151-184.
Robert Garland Colodny (1972). Paradigms & Paradoxes. [Pittsburgh]University of Pittsburgh Press.
Amit Hagar & Meir Hemmo (2006). Explaining the Unobserved: Why Quantum Theory Ain't Only About Information. Foundations of Physics 36 (9):1295-1234.
Nicholas Maxwell (1995). A Philosopher Struggles to Understand Quantum Theory: Particle Creation and Wavepacket Reduction. In M. Ferrero & A. van der Merwe (eds.), Fundamental Problems in Quantum Physics.
Nicholas Maxwell (1994). Particle Creation as the Quantum Condition for Probabilistic Events to Occur. Physics Letters A 187 (2 May 1994):351-355.
Nicholas Maxwell (1993). Beyond Fapp: Three Approaches to Improving Orthodox Quantum Theory and An Experimental Test. In F. Selleri and G. Tarozzi van der Merwe, F. Selleri & G. Tarozzi (eds.), Bell's Theorem and the Foundations of Modern Physics. World Scientific.
Added to index2009-09-15
Total downloads10 ( #170,909 of 1,692,471 )
Recent downloads (6 months)9 ( #25,756 of 1,692,471 )
How can I increase my downloads?