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Premier livre en français intégrant la théorie spectrale et la mécanique quantique
Comprend de nombreux exemples pratiques et des problèmes d’approfondissement
discussion des recherches récentes sur l’équation de Schrödinger
Part of the book series: Mathématiques et Applications (MATHAPPLIC, volume 87)
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Table of contents (7 chapters)
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Front Matter
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Back Matter
About this book
Premier livre en français sur le sujet destiné aux étudiants de Master, ce livre pourra accompagner un cours à ce niveau. Il devrait aussi être utile aux lecteurs plus avancés désirant en savoir plus sur cette théorie.
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This book presents the spectral theory of self-adjoint operators on Hilbert space, with applications to quantum mechanics. The concept of self-adjointness in infinite dimension was discovered by John von Neumann in the 1930s and it is much more involved than in the case of Hermitian matrices in finite dimension.
The book also provides an introduction to quantum mechanics, suitable for students with a mathematics background. The presentation provides numerous physical examples illustrating the abstract theory. The last two chapters present recent results on Schrödinger’s equation for systems of particles. No previous knowledge of physics is required for the book.
Based on the author’s teaching and intended for graduate courses, this French language textbook can also serve as a useful introduction to the topic for more advanced readers.Keywords
- livre Master
- théorie spectrale en dimension infinie
- opérateurs auto-adjoints non bornés
- formalisme mathématique de la mécanique quantique
- équation de Schrödinger
- modélisation des atomes et des molécules
Authors and Affiliations
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CNRS & Université Paris-Dauphine, Université PSL, Paris, France
Mathieu Lewin
About the author
Bibliographic Information
Book Title: Théorie spectrale et mécanique quantique
Authors: Mathieu Lewin
Series Title: Mathématiques et Applications
DOI: https://doi.org/10.1007/978-3-030-93436-1
Publisher: Springer Cham
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 Switzerland AG 2022
Softcover ISBN: 978-3-030-93435-4Published: 08 April 2022
eBook ISBN: 978-3-030-93436-1Published: 07 April 2022
Series ISSN: 1154-483X
Series E-ISSN: 2198-3275
Edition Number: 1
Number of Pages: XIV, 330
Topics: Operator Theory, Mathematical Physics, Differential Equations, Quantum Physics