國立高雄大學圖資館 |

Language: English

Back

A mathematical primer on quantum mec...

SpringerLink (Online service)

A mathematical primer on quantum mechanics

Record Type:	Electronic resources : Monograph/item
Title/Author:	A mathematical primer on quantum mechanicsby 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 theoryMathematics.
Online resource:	http://dx.doi.org/10.1007/978-3-319-77893-8
ISBN:	9783319778938$q(electronic bk.)

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$q(electronic bk.)

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

207816
Quantum theory
--Mathematics.

LC Class. No.: QC174.17.M35

Dewey Class. No.: 530.12

A mathematical primer on quantum mechanics
LDR:02152nmm a2200313 a 4500 001 537971
003 DE-He213
005 20180417212841.0
006 m d
007 cr nn 008maaau
008 190116s2018 gw s 0 eng d
020 $a 9783319778938$q(electronic bk.)
020 $a 9783319778921$q(paper)
024 7 $a 10.1007/978-3-319-77893-8 $2 doi
035 $a 978-3-319-77893-8
040 $a GP $c GP
041 0 $a eng
050 4 $a QC174.17.M35
072 7 $a PHQ $2 bicssc
072 7 $a SCI057000 $2 bisacsh
082 0 4 $a 530.12 $2 23
090 $a QC174.17.M35 $b T347 2018
100 1 $a Teta, Alessandro. $3 676544
245 1 2 $a A mathematical primer on quantum mechanics $h [electronic resource] / $c by Alessandro Teta.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
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.
650 0 $a Quantum theory $x Mathematics. $3 207816
650 1 4 $a Physics. $3 179414
650 2 4 $a Quantum Physics. $3 275010
650 2 4 $a Mathematical Physics. $3 522725
650 2 4 $a Mathematical Methods in Physics. $3 273796
650 2 4 $a Mathematical Applications in the Physical Sciences. $3 522718
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a UNITEXT for physics. $3 681848
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-77893-8
950 $a Physics and Astronomy (Springer-11651)