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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
Includes supplementary material: sn.pub/extras
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Table of contents (12 chapters)
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Front Matter
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Back Matter
About this book
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.
Keywords
Authors and Affiliations
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Physics and Electrical Engineering, University of Bremen, Bremen, Germany
Günter Ludyk
About the author
Bibliographic Information
Book Title: Quantum Mechanics in Matrix Form
Authors: Günter Ludyk
DOI: https://doi.org/10.1007/978-3-319-26366-3
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Nature Switzerland AG 2018
Hardcover ISBN: 978-3-319-26364-9Published: 03 November 2017
Softcover ISBN: 978-3-319-79941-4Published: 23 August 2018
eBook ISBN: 978-3-319-26366-3Published: 25 October 2017
Edition Number: 1
Number of Pages: XIII, 214
Number of Illustrations: 5 b/w illustrations, 9 illustrations in colour
Topics: Quantum Physics, Atomic/Molecular Structure and Spectra, Mathematical Methods in Physics