Authors: Mark Syrkin
Close-coupling in quantum systems induces cascade transitions that are not captured by simple perturbation theories and hence more relevant and complex methods are needed. However, the analytic tractability of the latter is limited to just a few highly stylized models, e.g. equidistant infinite systems. Showing that properly adjusted key modeling parameters enable an extension of analytic solutions across more realistic cases (e.g. non-uniform level spacing and finite and asymmetric boundary conditions) arising in various experimental set-ups. Also demonstrating that the Fokker-Planck approach applied to probability amplitudes rather than to probabilities themselves – the latter being a traditional kinetics approach – produces coarse-grained amplitudes “smoothed” over the fine structure of an exact solution and driven by lower order terms in the generating function. Models and results presented here naturally overlap with algorithms of Quantum Walks related to quantum computing studies.
Comments: 12 Pages.
[v1] 2019-01-14 18:10:54
Unique-IP document downloads: 45 times
Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.