TY - JOUR A1 - Stulpe, Werner T1 - Pairwise coexistence of effects versus coexistence JF - Journal of Physics: Conference Series Y1 - 2020 U6 - http://dx.doi.org/10.1088/1742-6596/1638/1/012004 SN - 1742-6596 VL - 1638 IS - 012004 SP - 1 EP - 21 PB - IOP CY - Bristol ER - TY - JOUR A1 - Stulpe, Werner T1 - Aspects of the Quantum-Classical Connection Based on Statistical Maps JF - Foundations of Physics Y1 - 2019 U6 - http://dx.doi.org/10.1007/s10701-019-00269-9 VL - 49 IS - 6 SP - 677 EP - 692 PB - Springer 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 - 2014 U6 - http://dx.doi.org/10.1063/1.4861939 SN - 222-488 N1 - bereits unter gleichem Titel aufgenommen bei arxiv : http://arxiv.org/pdf/1307.2314.pdf VL - 55 IS - 1 PB - AIP Publishing CY - College Park, Md. 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 - TY - JOUR A1 - Stulpe, Werner T1 - Unitary Operator JF - Compendium of Quantum Physics : concepts, experiments, history and philosophy / Daniel Greenberger ... ed. Y1 - 2009 SN - 978-3-540-70622-9 SP - 807 EP - 809 PB - Springer CY - Berlin ER - TY - JOUR A1 - Stulpe, Werner T1 - Projection JF - Compendium of Quantum Physics : concepts, experiments, history and philosophy / Daniel Greenberger ... ed. Y1 - 2009 SN - 978-3-540-70622-9 SP - 497 EP - 499 PB - Springer CY - Berlin ER - TY - JOUR A1 - Stulpe, Werner T1 - Self-Adjoint Operator JF - Compendium of Quantum Physics : concepts, experiments, history and philosophy / Daniel Greenberger ... ed. Y1 - 2009 SN - 978-3-540-70622-9 SP - 692 EP - 697 PB - Springer CY - Berlin ER - TY - JOUR A1 - Stulpe, Werner T1 - Density Operator JF - Compendium of Quantum Physics : concepts, experiments, history and philosophy / Daniel Greenberger ... ed. Y1 - 2009 SN - 978-3-540-70622-9 SP - 166 EP - 169 PB - Springer CY - Berlin ER - TY - JOUR A1 - Stulpe, Werner A1 - Scholz, Erhard T1 - Hilbert Space / Scholz, Erhard ; Stulpe, Werner JF - Compendium of Quantum Physics : concepts, experiments, history and philosophy / Daniel Greenberger ... ed. Y1 - 2009 SN - 978-3-540-70622-9 SP - 291 EP - 295 PB - Springer CY - Berlin ER - TY - JOUR A1 - Stulpe, Werner T1 - Operator JF - Compendium of Quantum Physics : concepts, experiments, history and philosophy / Daniel Greenberger ... ed. Y1 - 2009 SN - 978-3-540-70622-9 SP - 440 EP - 444 PB - Springer CY - Berlin ER -