TY - JOUR A1 - Stulpe, Werner A1 - Busch, Paul T1 - The structure of classical extensions of quantum probability theory JF - Journal of Mathematical Physics. 49 (2008), H. 3 Y1 - 2008 SN - 1089-7658 N1 - 032104 SP - 1 EP - 22 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 - https://doi.org/10.1063/1.4861939 SN - 1089-7658 (Online) SN - 0022-2488 (Print) VL - 55 IS - 1 PB - American Institute of Physics ER - TY - JOUR A1 - Stulpe, Werner A1 - Bugajski, S. A1 - Hellwig, K.-E. T1 - On Fuzzy Random Variables and Statistical Maps. Bugajski, S.; Hellwig, K.-E.; Stulpe, W. JF - Reports on Mathematical Physics. 41 (1998), H. 1 Y1 - 1998 SN - 0034-4877 SP - 1 EP - 11 ER - TY - JOUR A1 - Stulpe, Werner A1 - Ruch, Ernst T1 - Proof of the Mixing Theorem for Statistical Systems in Classical Physics. Ruch, Ernst; Stulpe, Werner JF - Acta Applicandae Mathematicae. 53 (1998), H. 3 Y1 - 1998 SN - 1572-9036 SP - 329 EP - 352 ER - TY - JOUR A1 - Stulpe, Werner A1 - Hellwig, K.-E. T1 - A Formulation of Quantum Stochastic Processes and Some of its Properties. Hellwig, K.-E.; Stulpe, W. JF - Foundations of Physics. 13 (1983), H. 7 Y1 - 1983 SN - 1572-9516 SP - 673 EP - 699 ER - TY - JOUR A1 - Stulpe, Werner A1 - Singer, Matthias T1 - Informational Incompleteness of the Observables Sx,Sy,Sz for Spin-1 Systems. Singer, Matthias; Stulpe, W. JF - Foundations of Physics. 20 (1990), H. 4 Y1 - 1990 SN - 1572-9516 SP - 471 EP - 472 ER - TY - JOUR A1 - Stulpe, Werner T1 - Conditional Expectations and Stochastic Processes in Quantum Probability JF - Information complexity and control in quantum physics : proceedings of the 4. Internat. Seminar on Mathematical Theory of Dynamical Systems and Microphysics, Udine, Sept. 4 - 13, 1985 / ed. by A. Blaquiere ... Y1 - 1987 SN - 3-211-81992-4 N1 - Courses and lectures / International Centre for Mechanical Sciences ; 294, International Seminar on Mathematical Theory of Dynamical Systems and Microphysics <4,1985, Udine> SP - 223 EP - 234 PB - Springer CY - Wien [u.a.] ER - TY - JOUR A1 - Stulpe, Werner T1 - Conditional Expectations, Conditional Distributions, and A Posteriori Ensembles in Generalized Probability Theory JF - International Journal of Theoretical Physics. 27 (1988), H. 5 Y1 - 1988 SN - 1572-9575 SP - 587 EP - 611 ER - TY - JOUR A1 - Stulpe, Werner T1 - On the Representation of Quantum Mechanics on Phase Space JF - International Journal of Theoretical Physics. 31 (1992), H. 9 Y1 - 1992 SN - 1572-9575 SP - 1785 EP - 1795 ER - TY - JOUR A1 - Stulpe, Werner A1 - Busch, P. A1 - Hellwig, K.-E. T1 - Classical Representations of Finite-Dimensional Quantum Mechanics. Busch, P.; Hellwig, K.-E.; Stulpe, W. JF - International Journal of Theoretical Physics. 32 (1993), H. 3 Y1 - 1993 SN - 1572-9575 SP - 399 EP - 405 ER -