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Quantum Mathematics I

  • Conference proceedings
  • © 2023

Overview

  • 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 mathematical physics

Part of the book series: Springer INdAM Series (SINDAMS, volume 57)

Included in the following conference series:

Conference proceedings info: INdAM 2022.

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Table of contents (14 papers)

  1. Semiclassical Analysis

  2. Operator Theory

  3. Effective Nonlinear Models

Other volumes

  1. Quantum Mathematics I

  2. Quantum Mathematics II

Keywords

About this book

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

Editors and Affiliations

  • Dipartimento di Matematica, Politecnico di Milano, Milano, Italy

    Michele Correggi, Marco Falconi

About the editors

M. Correggi: Organizer of the INdAM Intensive Period "INdAM Quantum Meetings (IQM22)" at Politecnico di Milano, March-May 2022;

Full Professor in Mathematical Physics since 2020 at Politecnico di Milano;

Coordinator of the Ph.D. program on Mathematical Models and Methods in Engineering at Politecnico di Milano (2022 - 2024);

Ph.D. in Mathematical Physics (SISSA, Trieste, 2004);

18 years of research experience after Ph.D.;

Principal Investigator of a MIUR FIR grant of 1 million €;

46 publications in international peer-reviewed journals;

Participant to more than 50 international events;

More than 60 invited talks;

Invited speaker at the XVIII International Congress on Mathematical Physics, Santiago de Chile, Chile;

Invited speaker at the XXI Congresso dell'Unione Matematica Italiana, Pavia, Italia;

Organizer of 14 international events (1 Intensive Period INdAM, 1 Nordita, 1 CMO/BIRS, 3 Schools MCQM & 1 EMS-IAMP School with more than 100 participants).


M. Falconi: Organizer of the INdAM Intensive Period "INdAM Quantum Meetings (IQM22)" at Politecnico di Milano, March-May 2022;

Associate Professor in Mathematical Physics since 2023 at Politecnico di Milano;

Ph.D. in Analysis (Alma Mater Studiorum – Università di Bologna, 2012);

11 years of research experience after Ph.D.;

21 publications in international peer-reviewed journals;

Participant to more than 30 international events;

More than 20 invited talks;

Organizer of 2 international events (1 Intensive Period INdAM, 1 Hausdorff Summer School).

Bibliographic Information

  • Book Title: Quantum Mathematics I

  • Editors: Michele Correggi, Marco Falconi

  • Series Title: Springer INdAM Series

  • DOI: https://doi.org/10.1007/978-981-99-5894-8

  • Publisher: Springer Singapore

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2023

  • Hardcover ISBN: 978-981-99-5893-1Published: 02 December 2023

  • Softcover ISBN: 978-981-99-5896-2Due: 02 January 2024

  • eBook ISBN: 978-981-99-5894-8Published: 01 December 2023

  • Series ISSN: 2281-518X

  • Series E-ISSN: 2281-5198

  • Edition Number: 1

  • Number of Pages: VIII, 356

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Mathematical Physics, Quantum Physics

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