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Ludyk G. Quantum Mechanics in Matrix Form

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Ludyk G. Quantum Mechanics in Matrix Form
Springer International Publishing AG, 2018. — 217 p. — (Undergraduate Lecture Notes in Physics) — ISBN 3319263641.
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 Schr?dinger'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
Table of contents
Quantum Theory Prior to 1925
Heisenberg’s Year 1925
Expansion of the Matrix Method
Observables and Uncertainty Relations
The Harmonic Oscillator
Angular Momentum
Wolfgang Pauli and the Hydrogen Atom
Atoms in Electromagnetic Fields
Many Particle Systems
Equivalence of Matrix and Wave Mechanics
Relativistic Quantum Mechanics
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