Delocalized properties in the modal interpretation of a continuous model of decoherence

I investigate the character of the definite properties defined by the Basic Rule in the Vermaas and Dicks' (1995) version if the modal interpretation of quantum mechanics, specifically for the case of the continuous model of decoherence by Joos and Zeh (1985). While this model suggests that the char acteristic length that might be associated with the localisation of an indi vidual system is the coherence length of the state (which converges rapidly to the thermal de Broglie wavelength). I show in an exactly soluble case t hat the definite properties that are possessed with overwhelming probabilit y in this modal interpretation are delocalized over the entire spread of th e state.