Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Atlantis studies in mathematical physics

Lecture 2: Pseudo-differential Operators. Berezin, Kohn–Nirenberg, Born–Jordan Quantizations

Gianfausto Dell’Antonio

Published Jan 1, 2016• 0 citations
Publisher

Abstract

Weyl quantization is strictly linked to Wigner transform. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
DOI
10.2991/978-94-6239-115-4_2

Related papers

Introduction and Motivation

Masao Nagasawa

Quantum mechanics was formulated as an abstract algebraic theory (of operator algebras) by Born-Heisenberg-Jordan in 1925–26 based on a successful application to the spectrum of hydrogen atoms. 1 In this theory the so-called “quantization” 2 (commutation relation) These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Birkhäuser Basel eBooks•Jan 1, 1993•0 citations

Stratonovich-Weyl correspondence via Berezin quantization

Benjamin Cahen

Benjamin Cahen, "Stratonovich-Weyl correspondence via Berezin quantization", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 46 (2014), pp.157-180

•Dec 23, 2014•4 citations

Lecture 1: Wigner Functions. Coherent States. Gabor Transform. Semiclassical Correlation Functions

Gianfausto Dell’Antonio

In Classical Mechanics a pure state is described by a Dirac measure supported by a point in phase space. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Atlantis studies in mathematical physics•Jan 1, 2016•0 citations

Linear Perturbations of the Wigner Transform and the Weyl Quantization

Dominik Bayer, Elena Cordero, Karlheinz Gröchenig +1 more

arXiv:1906.02503•Applied and numerical harmonic analysis•Jan 1, 2020•26 citations

New Formulation of Weyl Quantization Scheme in Coherent State Representation

Liu ., TANGKun, 华堂昆 +9 more

由在操作员的一个订的产品以内的集成的技术的优点我们在场在协调州的表示的 Weyl 量子化计划的新明确的表达,为计算通常订的操作员的 Weyl 通讯带便利,不仅而且直接导致我们发现协调州的表示和 Weyl 订 Wigner 操作员的表示。

理论物理通讯:英文版•Jan 1, 2011•0 citations

On the Weyl Quantized Relativistic Hamiltonian

Takashi Ichinose

This note discusses a general condition on essential selfadjointness of the Weyl quantized relativistic Hamiltonian and the path integral representation for its semigroup. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Birkhäuser Basel eBooks•Jan 1, 1992•4 citations