Results 291 to 300 of about 568,696 (328)
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Geometrization of classical mechanics
Journal of Mathematical Physics, 1993In this paper, it is shown that the symplectic description of the Hamiltonian mechanics contains a gauge structure, where the symplectic form acts as connection form.
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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 byin which c is the velocity of light.
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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 byin which c is the velocity of light.
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Classical Chern–Simons Mechanics
1992We are interested in a completely integrable Hamiltonian system \((\mathscr{M}_{2N},\omega,H).\) Local coordinates on the 2N-dimensional phase space \(\mathscr{M}_{2N}\) are denoted by η a = (p, q), a = 1, 2, … 2N and the symplectic 2-form ω is given ...
Martin Reuter, Walter Dittrich
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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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Classical Statistical Mechanics
1981Statistical mechanics is the bridge between molecular science and continuum mechanics. The input to statistical mechanics is a force law between particles. The particles can be atoms in a crystal, molecules in a gas or liquid, electrons in a plasma, amino acid units in a protein, elementary constituents in a complex polymer, etc.
Arthur Jaffe, James Glimm
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1971
Thus far we have considered some simple examples of set-theoretic predicates to illustrate various alternative ways that such a predicate might be used to elucidate the logical structure of a scientific theory. We want now to see how these alternatives fare when we attempt to use them in providing a logical reconstruction of a real theory of ...
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Thus far we have considered some simple examples of set-theoretic predicates to illustrate various alternative ways that such a predicate might be used to elucidate the logical structure of a scientific theory. We want now to see how these alternatives fare when we attempt to use them in providing a logical reconstruction of a real theory of ...
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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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Hamiltonian Classical Mechanics
2012In this chapter we start by showing that any finite-dimensional differentiable manifold M possesses an associated manifold, denoted by T ∗ M, called the cotangent bundle of M, which has a naturally defined nondegenerate 2-form, which allows us to define a Poisson bracket between real-valued functions defined on T ∗ M.
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Mechanics of 3D Cell–Hydrogel Interactions: Experiments, Models, and Mechanisms
Chemical Reviews, 2021Franck J Vernerey +2 more
exaly
1994
In this chapter we will develop the Lagrangian and Hamiltonian formulations of mechanics starting from Newton’s laws. These subsequent reformulations of mechanics bring with them a great deal of elegance and computational ease. But our principal interest in them stems from the fact that they are the ideal springboards from which to make the leap to ...
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In this chapter we will develop the Lagrangian and Hamiltonian formulations of mechanics starting from Newton’s laws. These subsequent reformulations of mechanics bring with them a great deal of elegance and computational ease. But our principal interest in them stems from the fact that they are the ideal springboards from which to make the leap to ...
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