Phase-Modulus Relations in Cyclic Wave Functions
arXiv:quant-ph/0406218 · doi:10.1016/S0375-9601(98)00897-4
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.
12 pages, 3 figures