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Quantum Mechanics in Matrix Form

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Publisher:

Springer

Pages: 214
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Recommend to library

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Paperback - 9783319799414

23 August 2018

€117.69

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Hardcover - 9783319263649

26 October 2017

€117.69

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Ebook - 9783319263663

25 October 2017

€91.62

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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...

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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.

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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?

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.
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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.

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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.

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