東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

A mathematical journey to quantum me...

Capozziello, Salvatore.

Linked to FindBook

Google Book

Amazon

博客來

A mathematical journey to quantum mechanics

Record Type:	Electronic resources : Monograph/item
Title/Author:	A mathematical journey to quantum mechanics/ by Salvatore Capozziello, Wladimir-Georges Boskoff.
Author:	Capozziello, Salvatore.
other author:	Boskoff, Wladimir-Georges.
Published:	Cham :Springer International Publishing : : 2021.,
Description:	xv, 289 p. :ill., digital ;24 cm.
[NT 15003449]:	Introduction: How to read this book -- Newtonian, Lagrangian and Hamiltonian Mechanics -- Can Light be described by Classical Mechanics? -- Why Quantum Mechanics? -- The Schrodinger Equations and Their Consequences -- The Mathematics behind the Harmonic Oscillator -- From Monochromatic Plane Waves to Wave Packets -- The Heisenberg Uncertainty Principle and the Mathematics behind -- The Principles of Quantum Mechanics -- Consequences of Quantum Mechanics Principles -- Quantum Mechanics at the Next Level -- Conclusions.
Contained By:	Springer Nature eBook
Subject:	Quantum theory - Mathematical models. -
Online resource:	https://doi.org/10.1007/978-3-030-86098-1
ISBN:	9783030860981

A mathematical journey to quantum mechanics
Capozziello, Salvatore.

A mathematical journey to quantum mechanics[electronic resource] /by Salvatore Capozziello, Wladimir-Georges Boskoff. - Cham :Springer International Publishing :2021. - xv, 289 p. :ill., digital ;24 cm. - UNITEXT for physics,2198-7890. - UNITEXT for physics..

Introduction: How to read this book -- Newtonian, Lagrangian and Hamiltonian Mechanics -- Can Light be described by Classical Mechanics? -- Why Quantum Mechanics? -- The Schrodinger Equations and Their Consequences -- The Mathematics behind the Harmonic Oscillator -- From Monochromatic Plane Waves to Wave Packets -- The Heisenberg Uncertainty Principle and the Mathematics behind -- The Principles of Quantum Mechanics -- Consequences of Quantum Mechanics Principles -- Quantum Mechanics at the Next Level -- Conclusions.

This book provides an itinerary to quantum mechanics taking into account the basic mathematics to formulate it. Specifically, it features the main experiments and postulates of quantum mechanics pointing out their mathematical prominent aspects showing how physical concepts and mathematical tools are deeply intertwined. The material covers topics such as analytic mechanics in Newtonian, Lagrangian, and Hamiltonian formulations, theory of light as formulated in special relativity, and then why quantum mechanics is necessary to explain experiments like the double-split, atomic spectra, and photoelectric effect. The Schrodinger equation and its solutions are developed in detail. It is pointed out that, starting from the concept of the harmonic oscillator, it is possible to develop advanced quantum mechanics. Furthermore, the mathematics behind the Heisenberg uncertainty principle is constructed towards advanced quantum mechanical principles. Relativistic quantum mechanics is finally considered. The book is devoted to undergraduate students from University courses of Physics, Mathematics, Chemistry, and Engineering. It consists of 50 self-contained lectures, and any statement and theorem are demonstrated in detail. It is the companion book of "A Mathematical Journey to Relativity", by the same Authors, published by Springer in 2020.

ISBN: 9783030860981

Standard No.: 10.1007/978-3-030-86098-1doiSubjects--Topical Terms:

612475
Quantum theory
--Mathematical models.

LC Class. No.: QC174.12

Dewey Class. No.: 530.12

A mathematical journey to quantum mechanics
LDR:02911nmm a2200337 a 4500 001 2251552
003 DE-He213
005 20210927074857.0
006 m d
007 cr nn 008maaau
008 220215s2021 sz s 0 eng d
020 $a 9783030860981 $q (electronic bk.)
020 $a 9783030860974 $q (paper)
024 7 $a 10.1007/978-3-030-86098-1 $2 doi
035 $a 978-3-030-86098-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QC174.12
072 7 $a PHQ $2 bicssc
072 7 $a SCI057000 $2 bisacsh
072 7 $a PHQ $2 thema
082 0 4 $a 530.12 $2 23
090 $a QC174.12 $b .C246 2021
100 1 $a Capozziello, Salvatore. $3 1530984
245 1 2 $a A mathematical journey to quantum mechanics $h [electronic resource] / $c by Salvatore Capozziello, Wladimir-Georges Boskoff.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a xv, 289 p. : $b ill., digital ; $c 24 cm.
490 1 $a UNITEXT for physics, $x 2198-7890
505 0 $a Introduction: How to read this book -- Newtonian, Lagrangian and Hamiltonian Mechanics -- Can Light be described by Classical Mechanics? -- Why Quantum Mechanics? -- The Schrodinger Equations and Their Consequences -- The Mathematics behind the Harmonic Oscillator -- From Monochromatic Plane Waves to Wave Packets -- The Heisenberg Uncertainty Principle and the Mathematics behind -- The Principles of Quantum Mechanics -- Consequences of Quantum Mechanics Principles -- Quantum Mechanics at the Next Level -- Conclusions.
520 $a This book provides an itinerary to quantum mechanics taking into account the basic mathematics to formulate it. Specifically, it features the main experiments and postulates of quantum mechanics pointing out their mathematical prominent aspects showing how physical concepts and mathematical tools are deeply intertwined. The material covers topics such as analytic mechanics in Newtonian, Lagrangian, and Hamiltonian formulations, theory of light as formulated in special relativity, and then why quantum mechanics is necessary to explain experiments like the double-split, atomic spectra, and photoelectric effect. The Schrodinger equation and its solutions are developed in detail. It is pointed out that, starting from the concept of the harmonic oscillator, it is possible to develop advanced quantum mechanics. Furthermore, the mathematics behind the Heisenberg uncertainty principle is constructed towards advanced quantum mechanical principles. Relativistic quantum mechanics is finally considered. The book is devoted to undergraduate students from University courses of Physics, Mathematics, Chemistry, and Engineering. It consists of 50 self-contained lectures, and any statement and theorem are demonstrated in detail. It is the companion book of "A Mathematical Journey to Relativity", by the same Authors, published by Springer in 2020.
650 0 $a Quantum theory $x Mathematical models. $3 612475
650 1 4 $a Quantum Physics. $3 893952
650 2 4 $a Atomic/Molecular Structure and Spectra. $3 1066408
650 2 4 $a Theoretical, Mathematical and Computational Physics. $3 1066859
650 2 4 $a Functional Analysis. $3 893943
700 1 $a Boskoff, Wladimir-Georges. $3 3518658
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a UNITEXT for physics. $3 2068732
856 4 0 $u https://doi.org/10.1007/978-3-030-86098-1
950 $a Physics and Astronomy (SpringerNature-11651)