Wigner phase space distribution as a wave function [PDF]
We demonstrate that the Wigner function of a pure quantum state is a wave function in a specially tuned Dirac bra-ket formalism and argue that the Wigner function is in fact a probability amplitude for the quantum particle to be at a certain point of the
A. O. Bolivar +11 more
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On the independent significance of generalizations of the Wigner distribution function
The Wigner distribution function (WDF) is a significant time-frequency analysis tool in, e.g., the theory of optical coherence and signal processing.
Yushi Zheng, John J. Healy
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Applications of the Wigner Distribution Function in Signal Processing [PDF]
We present a review of the applications of the Wigner distribution function in various areas of signal processing: amplitude and phase retrieval, signal recognition, characterization of arbitrary signals, optical systems and devices, and coupling ...
Dragoman Daniela
doaj +2 more sources
Dynamics of the τ-Wigner distribution function [PDF]
Abstract Some of the non-classical distribution functions defined on the phase space can be unified owing to specific parameterization. The latter allows one to think about the general form of the equation of motion (EOM) for such parameterized distribution functions.
B J Spisak, D Wozniak, D Kolaczek
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On derivation of Wigner distribution function [PDF]
Wigner distribution function has much importance in quantum statistical mechanics. It finds applications in various disciplines of physics including condense matter, quantum optics, to name but a few. Wigner distribution function is introduced by E. Wigner in 1932.
Siamak Khademi
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Positive Wigner Functions Render Classical Simulation of Quantum Computation Efficient [PDF]
We show that quantum circuits where the initial state and all the following quantum operations can be represented by positive Wigner functions can be classically efficiently simulated.
Jens Eisert
exaly +4 more sources
Phase-Space Approach for Topological Phase Transitions in Silicene [PDF]
Silicene is a two-dimensional silicon monolayer with a band gap caused by relatively strong spin–orbit coupling. This band gap can be steered using a vertical electric field.
Maciej Kalka +2 more
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Moyal equation—Wigner distribution functions for anharmonic oscillators [PDF]
We investigate the structure of Wigner distribution functions of energy eigenstates of quartic and sextic anharmonic oscillators. The corresponding Moyal equations are shown to be solvable, revealing new properties of Schrödinger eigenfunctions of these oscillators.
T. T. Truong
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Characterization of an ArF excimer laser beam from measurements of the Wigner distribution function [PDF]
An ArF excimer laser beam at a wavelength of 193 nm has been characterized by a quantitative determination of the Wigner distribution function. The setup, comprising a spherical lens, a rotating cylindrical lens and a moveable ultraviolet-sensitive CCD ...
Bernd Schäfer, Klaus Mann
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Wignerian symplectic covariance approach to the interaction-time problem [PDF]
The concept of the symplectic covariance property of the Wigner distribution function and the symplectic invariance of the Wigner–Rényi entropies has been leveraged to estimate the interaction time of the moving quantum state in the presence of an ...
D. Woźniak +4 more
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