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The Wigner quasiprobability distribution (also called the Wigner function or the Wigner–Ville distribution, after Eugene Wigner and Jean-André Ville) is a quasiprobability distribution. It was introduced by Eugene Wigner in 1932 [1] to study quantum corrections to classical statistical mechanics.
30 de oct. de 2022 · Como resultado, la función Wigner es un constructo matemático destinado a caracterizar la distribución de probabilidad del sistema simultáneamente en la coordenada y el espacio de impulso -para sistemas 1D, en el plano de fase \([X, P]\), que habíamos discutido anteriormente- ver Fig. 5.8.
Wigner functions in QuTiP - Open Quantum Sensing and Measurement Notes. Lecture 5.2: Wigner functions of the Quantum Harmonic Oscillator. Interactive notebook. In this notebook, you will explore the Wigner functions (Wigner quasiprobability distributions) of various states of the quantum Harmonic oscillator.
As a result, the Wigner function is a mathematical construct intended to characterize the system’s probability distribution simultaneously in the coordinate and the momentum space - for 1D systems, on the phase plane \([X, P]\), which we had discussed earlier - see Fig. 5.8.
The WDF was first proposed in physics to account for quantum corrections to classical statistical mechanics in 1932 by Eugene Wigner, and it is of importance in quantum mechanics in phase space (see, by way of comparison: Wigner quasi-probability distribution, also called the Wigner function or the Wigner–Ville distribution).
13 de ene. de 2017 · The Wigner distribution function is a quasi-probability distribution function in phase space. ( x , p ) and is defined by. ( x , p ) dy . ( x y ) e. ipy / ( x . ) . ( x , p ) dq . ( p q ) e. 2 ixq / ( p q ) . It is a generating function for all spatial autocorrelation function of a given quantum mechanica;
Widely known as the Wigner function, it is constructed from the Schrödinger wave function through the density matrix, a function of both position and momentum variables. Since it is not possible in quantum mechanics to determine the position and momentum variables simultaneously, the question is how can we represent the uncertainty principle ...
