The dirac equation and its solutions

The dirac equation and its solutions

by Bagrov, Vladislav G.

Type Book
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The Dirac equation is of fundamental importance for relativistic quantum mechanics and quantum electrodynamics, representing the one-particle wave equation of motion for electrons in an external electromagnetic field.In this monograph, all propagators of a particle, i.e., the various Green''s functions, are constructed in a certain way by using exact solutions of the Dirac equation.

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Title Statements

  • Full title :The dirac equation and its solutions / Vladislav G. Bagrov, Dmitry Gitman.

Summary

The Dirac equation is of fundamental importance for relativistic quantum mechanics and quantum electrodynamics, representing the one-particle wave equation of motion for electrons in an external electromagnetic field.In this monograph, all propagators of a particle, i.e., the various Green''s functions, are constructed in a certain way by using exact solutions of the Dirac equation.

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Edition Statements

  • Publication Date:©2014

Publication Statements

  • Publisher(s):De Gruyter
  • Place of Publication:Berlin
  • Language:eng
  • Publication Date:©2014

The Physical Object

  • Description:1 online resource (444 pages) : : illustrations

Edition Identifiers

  • ISBN:9783110263299, 3110263297
  • oclc:ocn961531635
  • LC Classification:QC174.45
  • Dewey Decimal:530.12/4

Table of Contents

Preface; Acknowledgements; Contents; 1 Introduction; 1.1 Book content; 1.2 Notation; 2 Relativistic equations of motion; 2.1 Classical equations; 2.1.1 Maxwell equations; 2.1.2 Equations of motion for a charge in an electromagnetic field; 2.1.3 Hamilton-Jacobi equation; 2.2 K-G equation; 2.2.1 General; 2.2.2 Evolution function and completeness relations; 2.2.3 Hamiltonian forms of the K-G equation; 2.3 Dirac equation; 2.3.1 General; 2.3.2 Evolution function and completeness relation; 2.3.3 Reducing Dirac equation into two independent sets of second-order equations for spinors

2.3.4 Reducing Dirac equation into two independent sets of fourth-order equations for scalar functions 2.3.5 Squaring the Dirac equation; 2.4 Spin operators; 3 Basic exact solutions; 3.1 Free particle motion; 3.1.1 Classical motion; 3.1.2 States with a given momentum; 3.1.3 Positive and negative frequency solutions; 3.1.4 Light-cone variables and coherent states; 3.1.5 States with given angular momentum projection; 3.2 Particles in plane-wave field; 3.2.1 Plane-wave electromagnetic field; 3.2.2 Classical motion in the plane-wave field; 3.2.3 Quantum motion in plane-wave field

3.3 Particles in BGY field 3.3.…

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Subjects

Differential Equations, Partial Dirac equation Équation de Dirac Équations aux dérivées partielles Équations d'onde Quantum field theory théorie quantique des champs Wave equation

Writers

Bagrov, Vladislav G. Gitman, Dmitry

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