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Superintegrability in classical mechanics
Physical Review A, 1990Superintegrable Hamiltonians in three degrees of freedom possess more than three functionally independent globally defined and single-valued integrals of motion. Some familiar examples, such as the Kepler problem and the harmonic oscillator, have been known since the time of Laplace.
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2021
This chapter applies our reasoning about structure in physics to two formulations of classical mechanics, Lagrangian and Newtonian mechanics, that are generally taken to be completely equivalent. It argues that these two formulations differ in both the type and amount of structure presupposed by their dynamical laws, as revealed by the invariances of ...
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This chapter applies our reasoning about structure in physics to two formulations of classical mechanics, Lagrangian and Newtonian mechanics, that are generally taken to be completely equivalent. It argues that these two formulations differ in both the type and amount of structure presupposed by their dynamical laws, as revealed by the invariances of ...
+4 more sources
The Mathematical Gazette, 1947
The theory of relativity leads to a relation between matter and radiant energy such that a mass m is equivalent to a quantity of energy E given by
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The theory of relativity leads to a relation between matter and radiant energy such that a mass m is equivalent to a quantity of energy E given by
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Perturbations in Classical Mechanics
Proceedings of the Physical Society, 1960This paper describes a method of evaluating perturbations in classical mechanics which is similar to quantum mechanics time dependent perturbation theory.
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2000
This chapter begins with a discussion of Isaac Newton's work on forces and motion—in other words, classical or Newtonian mechanics. It explains the dependence on the orientation of the force that determines that it is a vector quantity specified by both a magnitude and direction.
G.A.D. Ritchie, D.S. Sivia
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This chapter begins with a discussion of Isaac Newton's work on forces and motion—in other words, classical or Newtonian mechanics. It explains the dependence on the orientation of the force that determines that it is a vector quantity specified by both a magnitude and direction.
G.A.D. Ritchie, D.S. Sivia
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2006
Gregory's Classical Mechanics is a major new textbook for undergraduates in mathematics and physics. It is a thorough, self-contained and highly readable account of a subject many students find difficult. The author's clear and systematic style promotes a good understanding of the subject: each concept is motivated and illustrated by worked examples ...
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Gregory's Classical Mechanics is a major new textbook for undergraduates in mathematics and physics. It is a thorough, self-contained and highly readable account of a subject many students find difficult. The author's clear and systematic style promotes a good understanding of the subject: each concept is motivated and illustrated by worked examples ...
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1997
This is an advanced 1997 text for first-year graduate students in physics and engineering taking a standard classical mechanics course. It was the first book to describe the subject in the context of the language and methods of modern nonlinear dynamics. The organising principle of the text is integrability vs. nonintegrability.
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This is an advanced 1997 text for first-year graduate students in physics and engineering taking a standard classical mechanics course. It was the first book to describe the subject in the context of the language and methods of modern nonlinear dynamics. The organising principle of the text is integrability vs. nonintegrability.
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Overall equilibrium in the coupling of peridynamics and classical continuum mechanics
Computer Methods in Applied Mechanics and Engineering, 2021Greta Ongaro +2 more
exaly