Nonlocal aspects of a quantum wave - art. no. 052108

Various aspects of nonlocality of a quantum wave are discussed. In particul ar, the question of the possibility of extracting information about the rel ative phase in a quantum wave is analyzed. it is argued that there is a pro found difference in the nonlocal properties of the quantum wave between fer mion and boson particles. The phase of the boson quantum state can be found from correlations between results of measurements in separate regions. The se correlations are identical to the Einstein-Podolsky-Rosen (EPR) correlat ions between two entangled systems. An ensemble of results of measurements performed on fermion quantum waves does not exhibit the EPR correlations an d the relative phase of fermion quantum waves cannot be found from these re sults. The existence of a physical variable (the relative phase) that canno t be measured locally is the nonlocality aspect of the quantum wave of a fe rmion.