TY - BOOK A1 - Stulpe, Werner T1 - Bedingte Erwartungen und stochastische Prozesse in der generalisierten Wahrscheinlichkeitstheorie : Beschreibung sukzessiver Messungen mit zufälligem Ausgang Y1 - 1986 N1 - Berlin, Techn. Univ., Diss. CY - Berlin ER - TY - JOUR A1 - Stulpe, Werner T1 - From the attempt of certain classical reformulations of quantum mechanics to quasi-probability representations JF - Journal of mathematical physics N2 - The concept of an injective affine embedding of the quantum states into a set of classical states, i.e., into the set of the probability measures on some measurable space, as well as its relation to statistically complete observables is revisited, and its limitation in view of a classical reformulation of the statistical scheme of quantum mechanics is discussed. In particular, on the basis of a theorem concerning a non-denseness property of a set of coexistent effects, it is shown that an injective classical embedding of the quantum states cannot be supplemented by an at least approximate classical description of the quantum mechanical effects. As an alternative approach, the concept of quasi-probability representations of quantum mechanics is considered. Y1 - 2013 U6 - http://dx.doi.org/10.1063/1.4861939 SN - 1089-7658 (Online) SN - 0022-2488 (Print) VL - 55 IS - 1 PB - American Institute of Physics ER -