hamiltonian function

  • 111Symplectic manifold — In mathematics, a symplectic manifold is a smooth manifold, M, equipped with a closed nondegenerate differential 2 form, ω, called the symplectic form. The study of symplectic manifolds is called symplectic geometry or symplectic topology.… …

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  • 112Path integral formulation — This article is about a formulation of quantum mechanics. For integrals along a path, also known as line or contour integrals, see line integral. The path integral formulation of quantum mechanics is a description of quantum theory which… …

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  • 113Lagrange multiplier — Figure 1: Find x and y to maximize f(x,y) subject to a constraint (shown in red) g(x,y) = c …

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  • 114Measurement in quantum mechanics — Quantum mechanics Uncertainty principle …

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  • 115Canonical coordinates — In mathematics and classical mechanics, canonical coordinates are particular sets of coordinates on the phase space, or equivalently, on the cotangent manifold of a manifold. Canonical coordinates arise naturally in physics in the study of… …

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  • 116Canonical ensemble — A canonical ensemble in statistical mechanics is a statistical ensemble representing a probability distribution of microscopic states of the system. The probability distribution is characterised by the proportion pi of members of the ensemble… …

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  • 117Adiabatic invariant — An adiabatic invariant is a property of a physical system which stays constant when changes are made slowly.In thermodynamics, an adiabatic process is a change that occurs without heat flow and slowly compared to the time to reach equilibrium. In …

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  • 118Mermin–Wagner theorem — In quantum field theory and statistical mechanics, the Mermin–Wagner theorem (also known as Mermin–Wagner–Hohenberg theorem or Coleman theorem) states that continuous symmetries cannot be spontaneously broken at finite temperature in systems with …

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  • 119Computational chemistry — is a branch of chemistry that uses principles of computer science to assist in solving chemical problems. It uses the results of theoretical chemistry, incorporated into efficient computer programs, to calculate the structures and properties of… …

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  • 120Status of special relativity — Special relativity (SR) is usually concerned with the behaviour of objects and observers (inertial reference systems) which remain at rest or are moving at a constant velocity. In this case, the observer is said to be in an inertial frame of… …

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