Semiklassische Beschreibung des Spin-Boson-Modells

The spin coherent state path integral describing the dynamics of a <br>spin-1/2-system in a magnetic field of arbitrary <br>time-dependence is considered. Defining the path integral as the limit <br>of a Wiener regularized expression, the semiclassical approximation <br>leads to a continuous minimal action path with jumps at the <br>endpoints. The resulting semiclassical propagator is shown to coincide <br>with the exact quantum mechanical propagator. A non-linear <br>transformation of the angle variables allows for a <br>determination of the semiclassical path and the jumps without solving <br>a boundary-value problem. The semiclassical spin dynamics is thus <br>readily amenable to numerical methods.

Author dc:creator

• Alscher, Adrian

Contributors dc:contributor

• Grabert, Hermann

• Semiklassik
• kohärenter Zustand
• path integral
• spin coherent state

Repository record source_url

https://freidok.uni-freiburg.de/data/94

OAI identifier oai:identifier

oai:freidok.uni-freiburg.de:94