Quantum Mechanics in Matrix Form
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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.
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
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
Autor*in
Günter Ludyk
Themen in »Quantum Mechanics in Matrix Form«
Axiomatic Description of Square Matrix Bohr-Sommerfeld Quantization Rule Eigenvalues and Eigenvectors Equivalence of Matrix with Wave Mechanics Expansion of the Matrices Method Kronecker Product Matrix Vector of Angular Momentum Permutation Matrix Projection Matrices Schur product of matrices 173