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A mathematical primer on quantum mechanics

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	A mathematical primer on quantum mechanics/ by Alessandro Teta.
作者:	Teta, Alessandro.
出版者:	Cham :Springer International Publishing : : 2018.,
面頁冊數:	xi, 259 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Quantum theory - Mathematics. -
電子資源:	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:

639940
Quantum theory
--Mathematics.

LC Class. No.: QC174.17.M35

Dewey Class. No.: 530.12

A mathematical primer on quantum mechanics
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