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Spectral theory and quantum mechanics

Record Type:	Electronic resources : Monograph/item
Title/Author:	Spectral theory and quantum mechanicsby Mathieu Lewin.
Author:	Lewin, Mathieu.
Published:	Cham :Springer Nature Switzerland :2024.
Description:	xii, 340 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Spectral theory (Mathematics)
Online resource:	https://doi.org/10.1007/978-3-031-66878-4
ISBN:	9783031668784$q(electronic bk.)

Spectral theory and quantum mechanics
Lewin, Mathieu.

Spectral theory and quantum mechanics[electronic resource] /by Mathieu Lewin. - Cham :Springer Nature Switzerland :2024. - xii, 340 p. :ill. (some col.), digital ;24 cm. - Universitext,2191-6675. - Universitext..

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.

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.

ISBN: 9783031668784$q(electronic bk.)

Standard No.: 10.1007/978-3-031-66878-4doiSubjects--Topical Terms:

182365
Spectral theory (Mathematics)

LC Class. No.: QC20.7.S64

Dewey Class. No.: 515.7222

Spectral theory and quantum mechanics
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245 1 0 $a Spectral theory and quantum mechanics $h [electronic resource] / $c by Mathieu Lewin.
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300 $a xii, 340 p. : $b ill. (some col.), digital ; $c 24 cm.
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505 0 $a 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.
520 $a 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.
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950 $a Mathematics and Statistics (SpringerNature-11649)