Phys. Rev. A 62, 042109 (2000) [15 pages]Semiclassical trace formulas for two identical particlesReceived 24 January 2000; published 19 September 2000 Semiclassical periodic orbit theory is used in many branches of physics. However, most applications of the theory have been to systems that involve only single-particle dynamics. In this paper, we develop a semiclassical formalism to describe the density-of-states for two noninteracting particles. This includes accounting properly for particle exchange symmetry. As specific examples, we study two identical particles in a disk and in a cardioid. In each case, we demonstrate that the semiclassical formalism correctly reproduces the quantum densities. © 2000 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.62.042109
DOI:
10.1103/PhysRevA.62.042109
PACS:
03.65.Sq, 73.40.Gk, 05.45.Mt, 05.45.-a
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