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Hace 5 días · Here, such Wigner function can be seen as a probability distribution and is used to describe systems having quantities that vary in space over large distances (i.e. on a length scale much larger than the de Broglie wavelength \(\lambda = h/\Vert {\textbf {p}}\Vert \)), as found in quantum electronic transport.
- Complexity growth and the Krylov-Wigner function | Journal of ...
We introduce the Krylov-Wigner function, i.e., the Wigner...
- Complexity growth and the Krylov-Wigner function | Journal of ...
8 de may. de 2024 · Wigner proposed this integral transformation to develop a phase-space distribution function in quantum mechanics. It is a real function that provides a representation of the quantum state in phase space, which depends on position and momentum.
20 de may. de 2024 · We investigate the question which metaplectic Wigner distributions satisfy an uncertainty principle in the style of Benedicks and Amrein-Berthier. That is, if the metaplectic Wigner distribution is supported on a set of finite measure, must the functions then be zero?
1 de may. de 2024 · The coupled fractional Wigner–Ville distribution is a more general version of the fractional Wigner–Ville distribution. Main properties including boundedness, Moyal’s formula and inversion formula are studied in detail for the transformation.
Hace 6 días · We derive the analytical expressions for root-mean-square (rms) beam wander (BW) and relative BW of a twisted electromagnetic elliptical vortex (TEEV) beam propagating through non-Kolmogorov atmospheric turbulence with the help of the extended Huygens–Fresnel principle and the second-order moments of the Wigner distribution function (WDF).
Hace 6 días · the second-order moments of the Wigner distribution function (WDF). Our numerical findings demonstrate that the BW of a TEEV beam with a small ellipticity, a large topological charge as well as a small waist width and initial coherent length is less affected by the turbulence. It can be also
