Quantum Mechanics in Matrix Form (Undergraduate Lecture Notes in Physics) - Hardcover

Ludyk, Günter

Hardcover

ISBN 10: 3319263641 ISBN 13: 9783319263649

Publisher: Springer, 2017

Synopsis

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.

About this title

About the Author

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.

From the Back Cover

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.

Edition details

• Publisher: Springer
• Publication date: 2017
• Language: English
• ISBN 10: 3319263641
• ISBN 13: 9783319263649
• Binding: Hardcover
• Edition number: 1
• Number of pages: 227