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Théorie Spectrale Et Mécanique Quantique
Paperback
Series: Mathématiques Et Applications, Book 87
ISBN13: 9783030934354
Publisher: Springer Nature
Published: Apr 8 2022
Pages: 330
Weight: 1.07
Height: 0.72 Width: 6.14 Depth: 9.21
Language: French
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.Also in
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