The Massive Klein-Gordon Field Coupled to a Harmonic Oscillator at the Boundary

Details The Massive Klein-Gordon Field Coupled to a Harmonic Oscillator at the Boundary The Massive Klein-Gordon Field Coupled to a Harmonic Oscillator at the Boundary

2004-12-07

arxiv.org/abs/hep-th/0412067v3

J.Phys. A38 (2005) 7399-7418

Physics

High Energy Physics

High Energy Physics - Theory

V1:24 pages, 12 figures, V2:1 reference added, V3: Shortened to 21 pages by reducing section 2 to subsection of section 3, min

Scientific paper

10.1088/0305-4470/38/33/013

We consider the massive Klein-Gordon field on the half line with and without a Robin boundary potential.The field is coupled at the boundary to a harmonic oscillator.We solve the system classically and observe the existence of classical boundary bound states in some regions of the parameter space. The system is then quantized, the quantum reflection matrix and reflection cross section are calculated. Resonances and Ramsauer-Townsend effects are observed in the cross section. The pole structure of the reflection matrix is discussed.

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