𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Berry's Phase in the Presence of a Non-adiabatic Environment with an Application to Magnetic Resonance

✍ Scribed by Frank Gaitan

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
158 KB
Volume
139
Category
Article
ISSN
1090-7807

No coin nor oath required. For personal study only.

✦ Synopsis

We consider a two-level system coupled to an environment that evolves non-adiabatically. We present a non-perturbative method for determining the persistence amplitude whose phase contains all the corrections to Berry's phase produced by the non-adiabatic motion of the environment. Specifically, it includes the effect of transitions between the two energy levels to all orders in the non-adiabatic coupling. The problem of determining all non-adiabatic corrections is reduced to solving an ordinary differential equation to which numerical methods should provide solutions in a variety of situations. We apply our method to a particular example that can be realized as a magnetic resonance experiment, thus raising the possibility of testing our results in the laboratory.

πŸ“œ SIMILAR VOLUMES

A new spin on an old model: In vivo eval
A new spin on an old model: In vivo evaluation of disease progression by magnetic resonance imaging with respect to standard inflammatory parameters and histopathology in the adjuvant arthritic rat
✍ Peer B. Jacobson; Sheryl J. Morgan; Denise M. Wilcox; Phong Nguyen; Christine A. πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 994 KB

Objective. To noninvasively examine the pathogenesis of rat adjuvant-induced arthritis (AIA) by magnetic resonance imaging (MRI), and to correlate MRI indices of disease progression with classic inflammatory parameters and histologic evaluation. Methods. AIA was established in male Lewis rats follo