Phase-Modulus Relations in Cyclic Wave Functions
Quantum Physics
2009-11-10 v1
Abstract
We derive reciprocal integral relations between phases and amplitude moduli for a class of wave functions that are cyclically varying in time. The relations imply that changes of a certain kind (e.g. not arising from the dynamic phase) obligate changes in the other. Numerical results indicate the approximate validity of the relationships for arbitrarily (non-cyclically) varying states in the adiabatic (slowly changing) limit.
Cite
@article{arxiv.quant-ph/0406218,
title = {Phase-Modulus Relations in Cyclic Wave Functions},
author = {R. Englman and A. Yahalom and M. Baer},
journal= {arXiv preprint arXiv:quant-ph/0406218},
year = {2009}
}
Comments
12 pages, 3 figures