Spectral Theory and Quantum Mechanics

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Sprache: Englisch

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Beschreibung

This textbook presents the spectral theory of self-adjoint operators on Hilbert space and its applications in quantum mechanics. Based on a course taught by the author in Paris, the book not only covers the mathematical theory but also provides its physical interpretation, offering an accessible introduction to quantum mechanics for students with a background in mathematics. The presentation incorporates numerous physical examples to illustrate the abstract theory. The final two chapters present recent findings on Schrödinger¿s equation for systems of particles.

While primarily designed for graduate courses, the book can also serve as a valuable introduction to the subject for more advanced readers. It requires no prior knowledge of physics, assuming only a graduate-level understanding of mathematical analysis from the reader.

Über den Autor

Mathieu Lewin is CNRS research director (Directeur de Recherche) at Paris-Dauphine University. He specialises in spectral and variational methods in quantum systems.

Inhaltsverzeichnis

1 Introduction to quantum mechanics: the hydrogen atom.- 2 Self-adjointness.- 3 Self-adjointness criteria: Rellich, Kato & Friedrichs.- 4 Spectral theorem and functional calculus.- 5 Spectrum of self-adjoint operators.- 6 N-particle systems, atoms, molecules.- 7 Periodic Schrödinger operators, electronic properties of materials.- Appendix A: Sobolev spaces.- Appendix B: Problems.

Erscheinungsjahr:	2024
Fachbereich:	Analysis
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xii 340 S. 2 s/w Illustr. 30 farbige Illustr. 340 p. 32 illus. 30 illus. in color.
ISBN-13:	9783031668777
ISBN-10:	3031668774
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Lewin, Mathieu
Hersteller:	Springer Nature Switzerland Springer International Publishing AG
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 18 mm
Von/Mit:	Mathieu Lewin
Erscheinungsdatum:	06.11.2024
Gewicht:	0,598 kg