An Exact Approach to the Oscillator Radiation Process in an Arbitrarily Large Cavity
N. P. Andion, A. P. C. Malbouisson, A. Mattos Neto
Abstract
Starting from a solution of the problem of a mechanical oscillator coupled to a scalar field inside a reflecting sphere of radius R, we study the behaviour of the system in free space as the limit of an arbitrarily large radius in the confined solution. From a mathematical point of view we show that this way of facing the problem is not equivalent to consider the system a priori embedded in infinite space. In particular, the matrix elements of the transformation turning the system to principal axis, do not tend to distributions in the limit of an arbitrarily large sphere as it should be the case if the two procedures were mathematically equivalent. Also, we introduce "dressed" coordinates which allow an exact description of the oscillator radiation process for any value of the coupling, strong or weak. In the case of weak coupling, we recover from our exact expressions the well known decay formulas from perturbation theory.
Create a lesson
Related papers
Optical atomic clocks on all-optical atom chips
Yuri B. Ovchinnikov
Local polarization control of optical tweezer arrays
Xiangkai Sun, Richard Bing-Shiun Tsai, Andrew Winnicki et al.
Response of the near-threshold resonances of the dtμ molecular ion to an effective atomic 2s--2p splitting
Yi Zhang
Disorder-induced nuclear-transition doublet at nominally cubic 229Th sites
Andrei Derevianko
A scanning cavity for large area coherent coupling in atom interferometry
D. O. Sabulsky, Q. Beaufils, A. Bertoldi et al.
A solid-state nuclear clock based on VUV absorption spectroscopy of 229Th
Pengfei Wang, Xu-Fei Yin, Hanlin Wang et al.