Wigner–Weyl transform

Known as: Weyl quantization, Phase space quantization, Wigner-Weyl transformation 
In quantum mechanics, the Wigner–Weyl transform or Weyl–Wigner transform is the invertible mapping between functions in the quantum phase space… (More)
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Related topics

Related topics

14 relations
Canonical commutation relationClassical limitCorrespondence principleDensity matrix
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Papers overview

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Highly Cited
2015
Highly Cited
2015
Experimental discovery of Weyl semimetal TaAs
Weyl semimetals are a class of materials that can be regarded as three-dimensional analogs of graphene breaking time reversal or… (More)
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Highly Cited
2011
Highly Cited
2011
Lv's Distribution: Principle, Implementation, Properties, and Performance
This paper proposes a novel representation, known as Lv's distribution (LVD), of linear frequency modulated (LFM) signals. It has… (More)
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2008
2008
Wigner functions and Weyl transforms for pedestrians
Wigner functions and Weyl transforms of operators offer a formulation of quantum mechanics that is equivalent to the standard… (More)
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2008
2008
Weyl-Wigner Formulation of Noncommutative Quantum Mechanics
We address the phase space formulation of a noncommutative extension of quantum mechanics in arbitrary dimension, displaying both… (More)
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Highly Cited
2003
Highly Cited
2003
Multi-phase computations of the semiclassical limit of the Schrödinger equation and related problems: Whitham vs Wigner
We present and compare two different techniques to obtain the multi-phase solutions for the Schrödinger equation in the… (More)
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2003
2003
Self-Averaging of Wigner Transforms in Random Media
We establish the self-averaging properties of the Wigner transform of a mixture of states in the regime when the correlation… (More)
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Highly Cited
2001
Highly Cited
2001
Poisson geometry with a 3 form background
We study a modification of Poisson geometry by a closed 3-form. Just as for ordinary Poisson structures, these " twisted… (More)
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Highly Cited
2000
Highly Cited
2000
A Path Integral Approach¶to the Kontsevich Quantization Formula
We give a quantum field theory interpretation of Kontsevich’s deformation quantization formula for Poisson manifolds. We show… (More)
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Highly Cited
1998
Highly Cited
1998
The holographic Weyl anomaly
We calculate the Weyl anomaly for conformal field theories that can be described via the adS/CFT correspondence. This entails… (More)
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Highly Cited
1977
Highly Cited
1977
Relative entropy and the Wigner-Yanase-Dyson-Lieb concavity in an interpolation theory
We show that the Wigner-Yanase-Dyson-Lieb concavity is a general property of an interpolation theory which works between pairs of… (More)
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