Quantum Mechanics in Matrix Form

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Sprache: Englisch

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Beschreibung

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 Schrödinger'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.

Über den Autor

After receiving his PhD in 1967, Günter Ludyk habilitated and has been appointed ¿Scientific Advisor and Professor¿ (associate professor) of the Technical University of Berlin in 1970. In 1971 he has been a visiting professor at the Technical University of Graz/Austrial. Since 1972 he is a Full Professor at the Physics/Electrical Engineering Faculty of the University of Bremen. His area of research includes the theory of dynamical systems and the application of interval mathematics to generate high-precision results. He published various books on these topics both in German and English, e. g. "Time-Variant Discrete-Time-Systems¿ in 1981 and "Stability of Time-Variant Discrete-Time Systems¿ in 1985.

Zusammenfassung

Teaches how to numerically calculate quantum mechanics problems

Supports self study by numerous exercises

Explains how to map the higher-rank tensor operations of general relativity onto the more widely known two-dimensional matrix operations

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2018
Fachbereich:	Theoretische Physik
Genre:	Mathematik , Medizin , Naturwissenschaften , Physik , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xiii 214 S. 5 s/w Illustr. 9 farbige Illustr. 214 p. 14 illus. 9 illus. in color.
ISBN-13:	9783319799414
ISBN-10:	331979941X
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Ludyk, Günter
Auflage:	Softcover reprint of the original 1st edition 2018
Hersteller:	Springer International Publishing
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 13 mm
Von/Mit:	Günter Ludyk
Erscheinungsdatum:	23.08.2018
Gewicht:	0,353 kg

Artikel-ID: 115376988