Phase-modulus relations in cyclic wave functions

We derive reciprocal integral relations between phases and amplitude moduli for a class of wave functions that are cyclically varying in time. The rel ations imply that changes of a certain kind (e.g. not arising from the dyna mic phase) obligate changes in the other. Numerical results indicate the ap proximate validity of the relationships for arbitrarily (non-cyclically) va rying states in the adiabatic (slowly changing) limit. (C) 1999 Elsevier Sc ience B.V.