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A mathematical primer on quantum mec...

Teta, Alessandro.

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A mathematical primer on quantum mechanics

Record Type:	Electronic resources : Monograph/item
Title/Author:	A mathematical primer on quantum mechanics/ by Alessandro Teta.
Author:	Teta, Alessandro.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	xi, 259 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Quantum theory - Mathematics. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-77893-8
ISBN:	9783319778938

A mathematical primer on quantum mechanics
Teta, Alessandro.

A mathematical primer on quantum mechanics[electronic resource] /by Alessandro Teta. - Cham :Springer International Publishing :2018. - xi, 259 p. :ill., digital ;24 cm. - UNITEXT for physics,2198-7882. - UNITEXT for physics..

This book offers a rigorous yet elementary approach to quantum mechanics that will meet the needs of Master's-level Mathematics students and is equally suitable for Physics students who are interested in gaining a deeper understanding of the mathematical structure of the theory. Throughout the coverage, which is limited to single-particle quantum mechanics, the focus is on formulating theory and developing applications in a mathematically precise manner. Following a review of selected key concepts in classical physics and the historical background, the basic elements of the theory of operators in Hilbert spaces are presented and used to formulate the rules of quantum mechanics. The discussion then turns to free particles, harmonic oscillators, delta potential, and hydrogen atoms, providing rigorous proofs of the corresponding dynamical properties. Starting from an analysis of these applications, readers are subsequently introduced to more advanced topics such as the classical limit, scattering theory, and spectral analysis of Schrodinger operators. The main content is complemented by numerous exercises that stimulate interactive learning and help readers check their progress.

ISBN: 9783319778938

Standard No.: 10.1007/978-3-319-77893-8doiSubjects--Topical Terms:

705044
Quantum theory
--Mathematics.

LC Class. No.: QC174.17.M35

Dewey Class. No.: 530.12

A mathematical primer on quantum mechanics
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245 1 2 $a A mathematical primer on quantum mechanics $h [electronic resource] / $c by Alessandro Teta.
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300 $a xi, 259 p. : $b ill., digital ; $c 24 cm.
490 1 $a UNITEXT for physics, $x 2198-7882
520 $a This book offers a rigorous yet elementary approach to quantum mechanics that will meet the needs of Master's-level Mathematics students and is equally suitable for Physics students who are interested in gaining a deeper understanding of the mathematical structure of the theory. Throughout the coverage, which is limited to single-particle quantum mechanics, the focus is on formulating theory and developing applications in a mathematically precise manner. Following a review of selected key concepts in classical physics and the historical background, the basic elements of the theory of operators in Hilbert spaces are presented and used to formulate the rules of quantum mechanics. The discussion then turns to free particles, harmonic oscillators, delta potential, and hydrogen atoms, providing rigorous proofs of the corresponding dynamical properties. Starting from an analysis of these applications, readers are subsequently introduced to more advanced topics such as the classical limit, scattering theory, and spectral analysis of Schrodinger operators. The main content is complemented by numerous exercises that stimulate interactive learning and help readers check their progress.
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