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Quantum mechanics in matrix form

Ludyk, Gunter.

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Quantum mechanics in matrix form

Record Type:	Electronic resources : Monograph/item
Title/Author:	Quantum mechanics in matrix form/ by Gunter Ludyk.
Author:	Ludyk, Gunter.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	xiii, 214 p. :ill., digital ;24 cm.
[NT 15003449]:	Preface and Introduction -- Quantum Theory Before 1925 -- Heisenberg 1925 -- Expansion of the Matrices Method -- Observables and Uncertainty Relations -- Harmonic Oscillator -- Pauli and the Hydrogen Atom -- Spin -- Atoms in Electromagnetic Fields -- Systems of Several Particles -- Equivalence of Matrix with Wave Mechanics -- Relativistic Quantum Mechanics.
Contained By:	Springer eBooks
Subject:	Matrix logic. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-26366-3
ISBN:	9783319263663

Quantum mechanics in matrix form
Ludyk, Gunter.

Quantum mechanics in matrix form[electronic resource] /by Gunter Ludyk. - Cham :Springer International Publishing :2018. - xiii, 214 p. :ill., digital ;24 cm.

Preface and Introduction -- Quantum Theory Before 1925 -- Heisenberg 1925 -- Expansion of the Matrices Method -- Observables and Uncertainty Relations -- Harmonic Oscillator -- Pauli and the Hydrogen Atom -- Spin -- Atoms in Electromagnetic Fields -- Systems of Several Particles -- Equivalence of Matrix with Wave Mechanics -- Relativistic Quantum Mechanics.

This book gives an introduction to quantum mechanics with the matrix method. Heisenberg's matrix mechanics is described in detail. The fundamental equations are derived by algebraic methods using matrix calculus. Only a brief description of Schrodinger's wave mechanics is given (in most books exclusively treated), to show their equivalence to Heisenberg's matrix method. In the first part the historical development of Quantum theory by Planck, Bohr and Sommerfeld is sketched, followed by the ideas and methods of Heisenberg, Born and Jordan. Then Pauli's spin and exclusion principles are treated. Pauli's exclusion principle leads to the structure of atoms. Finally, Dirac's relativistic quantum mechanics is shortly presented. Matrices and matrix equations are today easy to handle when implementing numerical algorithms using standard software as MAPLE and Mathematica.

ISBN: 9783319263663

Standard No.: 10.1007/978-3-319-26366-3doiSubjects--Topical Terms:

544765
Matrix logic.

LC Class. No.: QC174.12 / .L83 2018

Dewey Class. No.: 530.12

Quantum mechanics in matrix form
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100 1 $a Ludyk, Gunter. $3 741245
245 1 0 $a Quantum mechanics in matrix form $h [electronic resource] / $c by Gunter Ludyk.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a xiii, 214 p. : $b ill., digital ; $c 24 cm.
505 0 $a Preface and Introduction -- Quantum Theory Before 1925 -- Heisenberg 1925 -- Expansion of the Matrices Method -- Observables and Uncertainty Relations -- Harmonic Oscillator -- Pauli and the Hydrogen Atom -- Spin -- Atoms in Electromagnetic Fields -- Systems of Several Particles -- Equivalence of Matrix with Wave Mechanics -- Relativistic Quantum Mechanics.
520 $a This book gives an introduction to quantum mechanics with the matrix method. Heisenberg's matrix mechanics is described in detail. The fundamental equations are derived by algebraic methods using matrix calculus. Only a brief description of Schrodinger's wave mechanics is given (in most books exclusively treated), to show their equivalence to Heisenberg's matrix method. In the first part the historical development of Quantum theory by Planck, Bohr and Sommerfeld is sketched, followed by the ideas and methods of Heisenberg, Born and Jordan. Then Pauli's spin and exclusion principles are treated. Pauli's exclusion principle leads to the structure of atoms. Finally, Dirac's relativistic quantum mechanics is shortly presented. Matrices and matrix equations are today easy to handle when implementing numerical algorithms using standard software as MAPLE and Mathematica.
650 0 $a Matrix logic. $3 544765
650 0 $a Quantum theory. $3 516552
650 1 4 $a Physics. $3 516296
650 2 4 $a Quantum Physics. $3 893952
650 2 4 $a Atomic/Molecular Structure and Spectra. $3 1066408
650 2 4 $a Mathematical Methods in Physics. $3 890898
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-26366-3
950 $a Physics and Astronomy (Springer-11651)