Comparison of Wigner's function and de broglian probability density for a wave packet and the wave packets superposition

Mirjana Božič

Dušan Arsenović

pp. 225-229

in: Daniel Greenberger, Anton Zeilinger (eds), Epistemological and experimental perspectives on quantum physics, Berlin, Springer, 1999

Abstract

Compatible statistical interpretation (CSI) of Quantum mechanics (QM), proposed recently [1], is a specific synthesis of Born's statistical interpretation (SI) of QM and of L. de Broglie's wave mechanics [2]. To the set of Born's probabilities of SI, CSI adds a kind of joint probability density of quantities associated with non-commuting operators. This probability density, named De Broglian, incorporates into QM the standpoint of L. de Broglie [2], Vigier, Selleri, and Bohm and Hiley [3] that wave and particle properties are compatible (contemporary).