ADM formalism and Canonical coordinates

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Difference between ADM formalism and Canonical coordinates

ADM formalism vs. Canonical coordinates

The ADM formalism (named for its authors Richard Arnowitt, Stanley Deser and Charles W. Misner) is a Hamiltonian formulation of general relativity that plays an important role in canonical quantum gravity and numerical relativity. In mathematics and classical mechanics, canonical coordinates are sets of coordinates on phase space which can be used to describe a physical system at any given point in time.

Similarities between ADM formalism and Canonical coordinates

ADM formalism and Canonical coordinates have 6 things in common (in Unionpedia): Canonical commutation relation, Coordinate system, Generalized coordinates, Hamiltonian mechanics, Lagrangian mechanics, Quantum mechanics.

Canonical commutation relation

In quantum mechanics (physics), the canonical commutation relation is the fundamental relation between canonical conjugate quantities (quantities which are related by definition such that one is the Fourier transform of another).

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Coordinate system

In geometry, a coordinate system is a system which uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

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Generalized coordinates

In analytical mechanics, specifically the study of the rigid body dynamics of multibody systems, the term generalized coordinates refers to the parameters that describe the configuration of the system relative to some reference configuration.

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Hamiltonian mechanics

Hamiltonian mechanics is a theory developed as a reformulation of classical mechanics and predicts the same outcomes as non-Hamiltonian classical mechanics.

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Lagrangian mechanics

Lagrangian mechanics is a reformulation of classical mechanics, introduced by the Italian-French mathematician and astronomer Joseph-Louis Lagrange in 1788.

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Quantum mechanics

Quantum mechanics (QM; also known as quantum physics, quantum theory, the wave mechanical model, or matrix mechanics), including quantum field theory, is a fundamental theory in physics which describes nature at the smallest scales of energy levels of atoms and subatomic particles.

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The list above answers the following questions

What ADM formalism and Canonical coordinates have in common
What are the similarities between ADM formalism and Canonical coordinates

ADM formalism and Canonical coordinates Comparison

ADM formalism has 51 relations, while Canonical coordinates has 30. As they have in common 6, the Jaccard index is 7.41% = 6 / (51 + 30).

References

This article shows the relationship between ADM formalism and Canonical coordinates. To access each article from which the information was extracted, please visit:

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