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What (who) is P-recursive equation - definition
P-recursive equation
LINEAR RECURRENCE EQUATION
P-recursive equations
In mathematics a P-recursive equation is a linear equation of sequences where the coefficient sequences can be represented as polynomials. P-recursive equations are linear recurrence equations (or linear recurrence relations or linear difference equations) with polynomial coefficients.
General recursive function
ONE OF SEVERAL EQUIVALENT DEFINITIONS OF A COMPUTABLE FUNCTION
Partial recursive function; Total recursive function; Mu-recursive; Mu recursive function; Mu-recursive function; Recursive function theory; M-recursive function; Μ recursion; General-recursive; General recursive; Recursive function (computability); Μ-recursive function; Μ-recursive
In mathematical logic and computer science, a general recursive function, partial recursive function, or μ-recursive function is a partial function from natural numbers to natural numbers that is "computable" in an intuitive sense – as well as in a formal one. If the function is total, it is also called a total recursive function (sometimes shortened to recursive function).
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
Schrodingers equation; Schroedinger's equation; Schroedinger equation; Schrödinger Wave Equation; Schrodinger's equation; Schrödinger wave equation; Schrödinger's equation; Schrödinger-equation; Schrödinger Equation; Schrödinger's wave equation; TDSE; Time-independent Schrödinger equation; Time-independent Schrodinger equation; Time-independent schrödinger equation; Time-independent schrodinger equation; Schrodinger Equation; Shrodinger equation; Shrodinger's equation; Schroedinger Equation; Sherdinger's equation; Shredinger's equation; Sherdinger equation; Shredinger equation; Schrodinger's wave equation; Schrodinger`s equation; Schrodiner`s equation; Erwin Schrodinger's wave model; Time independent Schrödinger equation; Schroedinger wave equation; Time-independent Schroedinger equation; Schrodinger Wave Equation; Schroedinger Wave Equation; Schroedinger's wave equation; Time independent Schroedinger equation; Schrodinger-equation; Time independent Schrodinger equation; Time-independent schroedinger equation; Schroedinger-equation; Schrodinger wave equation; Schrodinger equation; TISE; Schrodinger operator; Schrödinger’s equation; Schrodinger's Wave Equation; Schrödinger's Wave Equation; Schrodinger's Equation; Schrödinger's Equation; Schrodinger model; Schrödinger model; Non-Relativistic Schrodinger Wave Equation; Time-dependent Schrödinger equation; Schrodinger’s equation; Schrodenger equation
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.
