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Quantum Mechanics in Matrix Form - Günter Ludyk

Quantum Mechanics in Matrix Form

(Autor)

Buch | Hardcover
XIII, 214 Seiten
2017 | 1st ed. 2018
Springer International Publishing (Verlag)
978-3-319-26364-9 (ISBN)
CHF 194,70 inkl. MwSt
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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.

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.

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.

Erscheinungsdatum
Reihe/Serie Undergraduate Lecture Notes in Physics
Zusatzinfo XIII, 214 p. 14 illus., 9 illus. in color.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Themenwelt Naturwissenschaften Physik / Astronomie Atom- / Kern- / Molekularphysik
Naturwissenschaften Physik / Astronomie Quantenphysik
Naturwissenschaften Physik / Astronomie Theoretische Physik
Schlagworte Atomic/Molecular Structure and Spectra • 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 • Physics and Astronomy • Projection Matrices • Quantum Physics • Schur product of matrices 173
ISBN-10 3-319-26364-1 / 3319263641
ISBN-13 978-3-319-26364-9 / 9783319263649
Zustand Neuware
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