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Hamilton–Jacobi equation and Phase space

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Hamilton–Jacobi equation and Phase space

Hamilton–Jacobi equation vs. Phase space

In mathematics, the Hamilton–Jacobi equation (HJE) is a necessary condition describing extremal geometry in generalizations of problems from the calculus of variations, and is a special case of the Hamilton–Jacobi–Bellman equation. In dynamical system theory, a phase space is a space in which all possible states of a system are represented, with each possible state corresponding to one unique point in the phase space.

Similarities between Hamilton–Jacobi equation and Phase space

Hamilton–Jacobi equation and Phase space have 11 things in common (in Unionpedia): Action (physics), Classical mechanics, Dynamical system, Generalized coordinates, Hamiltonian mechanics, Lagrangian mechanics, Ordinary differential equation, Phase space, Planck constant, Quantum mechanics, Symplectic geometry.

Action (physics)

In physics, action is an attribute of the dynamics of a physical system from which the equations of motion of the system can be derived.

Action (physics) and Hamilton–Jacobi equation · Action (physics) and Phase space · See more »

Classical mechanics

Classical mechanics describes the motion of macroscopic objects, from projectiles to parts of machinery, and astronomical objects, such as spacecraft, planets, stars and galaxies.

Classical mechanics and Hamilton–Jacobi equation · Classical mechanics and Phase space · See more »

Dynamical system

In mathematics, a dynamical system is a system in which a function describes the time dependence of a point in a geometrical space.

Dynamical system and Hamilton–Jacobi equation · Dynamical system and Phase space · See more »

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.

Generalized coordinates and Hamilton–Jacobi equation · Generalized coordinates and Phase space · See more »

Hamiltonian mechanics

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

Hamilton–Jacobi equation and Hamiltonian mechanics · Hamiltonian mechanics and Phase space · See more »

Lagrangian mechanics

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

Hamilton–Jacobi equation and Lagrangian mechanics · Lagrangian mechanics and Phase space · See more »

Ordinary differential equation

In mathematics, an ordinary differential equation (ODE) is a differential equation containing one or more functions of one independent variable and its derivatives.

Hamilton–Jacobi equation and Ordinary differential equation · Ordinary differential equation and Phase space · See more »

Phase space

In dynamical system theory, a phase space is a space in which all possible states of a system are represented, with each possible state corresponding to one unique point in the phase space.

Hamilton–Jacobi equation and Phase space · Phase space and Phase space · See more »

Planck constant

The Planck constant (denoted, also called Planck's constant) is a physical constant that is the quantum of action, central in quantum mechanics.

Hamilton–Jacobi equation and Planck constant · Phase space and Planck constant · See more »

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.

Hamilton–Jacobi equation and Quantum mechanics · Phase space and Quantum mechanics · See more »

Symplectic geometry

Symplectic geometry is a branch of differential geometry and differential topology that studies symplectic manifolds; that is, differentiable manifolds equipped with a closed, nondegenerate 2-form.

Hamilton–Jacobi equation and Symplectic geometry · Phase space and Symplectic geometry · See more »

The list above answers the following questions

Hamilton–Jacobi equation and Phase space Comparison

Hamilton–Jacobi equation has 69 relations, while Phase space has 87. As they have in common 11, the Jaccard index is 7.05% = 11 / (69 + 87).

References

This article shows the relationship between Hamilton–Jacobi equation and Phase space. To access each article from which the information was extracted, please visit:

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