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Propagators for Particles in an External Magnetic Field

  • Walter Dittrich
  • Martin Reuter

Abstract

In order to describe the propagation of a scalar particle in an external potential, we begin again with the path integral
$$ K(r\prime ,\;t\prime ;\;r,\;{\rm{0}})\;{\rm{ = }}\;\int_{r(0)}^{r\prime ,(t\prime )} {[dr(t)]} \;{\rm{exp}}\left\{ {\left. {\frac{i}{\hbar }S[r(t)]} \right\}} \right. $$
(19.1)
with
$$ S[r(t)]\;{\rm{ = }}\;\int_0^{t\prime } {dt} \;L(r,\dot r)\;{\rm{.}} $$

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Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • Walter Dittrich
    • 1
  • Martin Reuter
    • 2
  1. 1.Institut für Theoretische PhysikUniversität TübingenTübingenFed. Rep. of Germany
  2. 2.Institut für Theoretische PhysikUniversität HannoverHannover 1Fed. Rep. of Germany

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