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Cosa (chi) è G equation - definizione
G equation
In Combustion, G equation is a scalar G(\mathbf{x},t) field equation which describes the instantaneous flame position, introduced by Forman A. Williams in 1985Williams, F.
Klein–Gordon equation
RELATIVISTIC WAVE EQUATION IN QUANTUM MECHANICS
Klein-Gordon; Klein-Gordon Equation; Klein-gordon equation; Klein-Gordon field; Klein-gordon field; Klein gordon equation; Klein-Gordon equation; Klein–Gordon; Klein-Gordan equation; Klein Gordon; Nonlinear Klein–Gordon equation; Klein–Gordon field; Non-linear Klein–Gordon equation; Klein–Fock–Gordon equation; Klein–Gordon–Fock equation; Klein-Fock-Gordon equation; Klein-Gordon-Fock equation; Non-linear Klein-Gordon equation; Nonlinear Klein-Gordon equation
The Klein–Gordon equation (Klein–Fock–Gordon equation or sometimes Klein–Gordon–Fock equation) is a relativistic wave equation, related to the Schrödinger equation. It is second-order in space and time and manifestly Lorentz-covariant.
Schrödinger equation
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![[[Erwin Schrödinger]]](https://commons.wikimedia.org/wiki/Special:FilePath/Erwin Schrodinger2.jpg?width=200 "[[Erwin Schrödinger]]")
![spring]], oscillates back and forth. (C–H) are six solutions to the Schrödinger Equation for this situation. The horizontal axis is position, the vertical axis is the real part (blue) or imaginary part (red) of the [[wave function]]. [[Stationary state]]s, or energy eigenstates, which are solutions to the time-independent Schrödinger equation, are shown in C, D, E, F, but not G or H.](https://commons.wikimedia.org/wiki/Special:FilePath/QuantumHarmonicOscillatorAnimation.gif?width=200 "spring]], oscillates back and forth. (C–H) are six solutions to the Schrödinger Equation for this situation. The horizontal axis is position, the vertical axis is the real part (blue) or imaginary part (red) of the [[wave function]]. [[Stationary state]]s, or energy eigenstates, which are solutions to the time-independent Schrödinger equation, are shown in C, D, E, F, but not G or H.")
![harmonic oscillator]]. Left: The real part (blue) and imaginary part (red) of the wave function. Right: The [[probability distribution]] of finding the particle with this wave function at a given position. The top two rows are examples of '''[[stationary state]]s''', which correspond to [[standing wave]]s. The bottom row is an example of a state which is ''not'' a stationary state. The right column illustrates why stationary states are called "stationary".](https://commons.wikimedia.org/wiki/Special:FilePath/StationaryStatesAnimation.gif?width=200 "harmonic oscillator]]. Left: The real part (blue) and imaginary part (red) of the wave function. Right: The [[probability distribution]] of finding the particle with this wave function at a given position. The top two rows are examples of '''[[stationary state]]s''', which correspond to [[standing wave]]s. The bottom row is an example of a state which is ''not'' a stationary state. The right column illustrates why stationary states are called \"stationary\".")
PARTIAL DIFFERENTIAL EQUATION DESCRIBING HOW THE QUANTUM STATE OF A NON-RELATIVISTIC PHYSICAL SYSTEM CHANGES WITH TIME
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The Schrödinger equation is a linear partial differential equation that governs the wave function of a quantum-mechanical system. It is a key result in quantum mechanics, and its discovery was a significant landmark in the development of the subject.
