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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 11: Quantenmechanik

MP 11.4: Vortrag

Donnerstag, 20. März 2014, 17:30–17:50, SPA SR125

Classical trajectories of identical particles — •Stefan Fischer, Clemens Gneiting, and Andreas Buchleitner — Physikalisches Institut, Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Str. 3, 79104 Freiburg

The number of permutations required to describe systems of identical particles grows very fast with the number of particles involved. In order to simplify the description of such systems, we resort to an idea put forward by J.M. Leinaas and J. Myrheim in 1977 [1]. They studied the consequences of restricting the configuration space of identical particles to the fundamental domain of the group of permutations of their coordinates. Upon utilizing this concept, we demonstrate for several examples that the quantum mechanical propagator, in this restricted space, can be obtained by a semi-classical treatment. Within this framework, a one-to-one correspondence between the solutions of the associated classical problem and the permutations of the particles arises. Thus, one obtains a clear picture as to whether a certain permutation may be neglected or significantly contributes to the propagation process.

[1] J.M. Leinaas and J. Myrheim, Nuovo Cimento B 37, 1-23 (1977).