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Titlebook: Quantum Mathematics I; Michele Correggi,Marco Falconi Conference proceedings 2023 The Editor(s) (if applicable) and The Author(s), under e

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书目名称Quantum Mathematics I
编辑Michele Correggi,Marco Falconi
视频video
概述Review of recent breakthroughs on the mathematics of quantum mechanics.Overview of the most recent contributions in several areas of mathematical physics.Updated presentation of open problems in mathe
丛书名称Springer INdAM Series
图书封面Titlebook: Quantum Mathematics I;  Michele Correggi,Marco Falconi Conference proceedings 2023 The Editor(s) (if applicable) and The Author(s), under e
描述.This book is the first volume that provides an unique overview of the most recent and relevant contributions in the field of mathematical physics with a focus on the mathematical features of quantum mechanics. It is a collection of review papers together with brand new works related to the activities of the INdAM Intensive Period "INdAM Quantum Meetings (IQM22)", which took place at the Politecnico di Milano in Spring 2022 at Politecnico di Milano. The range of topics covered by the book is wide, going ranging from many-body quantum mechanics to semiclassical analysis, quantum field theory, Schrödinger and Dirac operators and open quantum systems.
出版日期Conference proceedings 2023
关键词Mathematical Physics; Quantum Mechanics; Open Quantum Systems; Semiclassical Analysis; Quantum Field The
版次1
doihttps://doi.org/10.1007/978-981-99-5894-8
isbn_softcover978-981-99-5896-2
isbn_ebook978-981-99-5894-8Series ISSN 2281-518X Series E-ISSN 2281-5198
issn_series 2281-518X
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor
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On the Semiclassical Regularity of Thermal Equilibriands. As a corollary, we identify explicitly a class of positive temperature states satisfying the regularity assumptions of Chong et al. (From Many-Body Quantum Dynamics to the Hartree Fock and Vlasov Equations with Singular Potentials, pp. 1–74, 2021).
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Invariant Measures as Probabilistic Tools in the Analysis of Nonlinear ODEs and PDEs and a classical Kubo–Martin–Schwinger (KMS) condition. Furthermore, we discuss Bourgain’s method consisting of using Gibbs measures as conservation laws at low regularity in order to construct global solutions for some nonlinear dispersive PDEs almost surely. It is then argued that such an approach
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