Results 21 to 30 of about 91,861 (215)
Covariant chiral kinetic equation in non-Abelian gauge field from “covariant gradient expansion”
We derive the chiral kinetic equation in 8 dimensional phase space in non- Abelian SU(N) gauge field within the Wigner function formalism. By using the “covariant gradient expansion”, we disentangle the Wigner equations in four-vector space up to the ...
Xiao-Li Luo, Jian-Hua Gao
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Localization of multidimensional Wigner distributions [PDF]
A well known result of P. Flandrin states that a Gaussian uniquely maximizes the integral of the Wigner distribution over every centered disk in the phase plane. While there is no difficulty in generalizing this result to higher-dimensional polydisks, the generalization to balls is less obvious. In this note we provide such a generalization.
Lieb, Elliott H., Ostrover, Yaron
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The Wigner quasi-probability distribution function is an important tool for estimating the quantumness of quantum states. The Wigner distribution function (WDF) is related monotonically to the coherent field state density operator and their probability ...
Laila A. Al-essa +4 more
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Wigner-Ville Distribution Associated with the Linear Canonical Transform
The linear canonical transform is shown to be one of the most powerful tools for nonstationary signal processing. Based on the properties of the linear canonical transform and the classical Wigner-Ville transform, this paper investigates the Wigner-Ville
Rui-Feng Bai +2 more
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Imperfection in a bonding point can affect the quality of an entire integrated circuit. Therefore, a time–frequency analysis method was proposed to detect and identify fault bonds.
Wuwei Feng +3 more
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Wigner Distributions of Quark [PDF]
Wigner distribution functions are the quantum analogue of the classical phase space distribution and being quantum implies that they are not genuine phase space distribution and thus lack any probabilistic interpretation. Nevertheless, Wigner distributions are still interesting since they can be related to both generalized parton distributions (GPDs ...
Asmita Mukherjee +2 more
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On Two-Dimensional Quaternion Wigner-Ville Distribution
We present the two-dimensional quaternion Wigner-Ville distribution (QWVD). The transform is constructed by substituting the Fourier transform kernel with the quaternion Fourier transform (QFT) kernel in the classical Wigner-Ville distribution definition.
Mawardi Bahri
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Statistical Study of the Entanglement for Qubit Interacting with an Electromagnetic Field
A statistical method is applied to predict the behaviour of a quantum model consisting of a qubit interacting with a single-mode cavity field. The qubit is prepared in excited state while the field starts from the binomial distribution state.
Neveen Sayed-Ahmed +6 more
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A Note on Rate of Convergence in Probability to Semicircular Law [PDF]
In the present paper, we prove that under the assumption of the finite sixth moment for elements of a Wigner matrix, the convergence rate of its empirical spectral distribution to the Wigner semicircular law in probability is $O(n^{-1/2})$ when the ...
Bai, Zhidong +3 more
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Post-Earthquake Damage Identification of Buildings with LMSST
The structure is said to be damaged if there is a permanent shift in the post-event natural frequency of a structure as compared with the pre-event frequency. To assess the damage to the structure, a time-frequency approach that can capture the pre-event
Roshan Kumar +2 more
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