Quantum Mechanics in Matrix Form / by Günter Ludyk.

Format:

Book

Author/Creator:

Ludyk, Günter., Author.

Language:

English

Subjects (All):

Quantum theory.

Atomic structure.

Molecular structure.

Physics.

Quantum Physics.

Atomic/Molecular Structure and Spectra.

Mathematical Methods in Physics.

Local Subjects:

Quantum Physics.

Atomic/Molecular Structure and Spectra.

Mathematical Methods in Physics.

Physical Description:

1 online resource (XIII, 214 p. 14 illus., 9 illus. in color.)

Edition:

1st ed. 2018.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2018.

Summary:

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.

Contents:

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.

Notes:

Includes bibliographical references and index.

ISBN:

3-319-26366-8