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  - 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  - 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  - 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
A1  - Bjelakovic, Igor
T1  - The Projective Hilbert Space as a Classical Phase Space for Nonrelativistic Quantum Dynamics. Bjelakovic, Igor; Stulpe, Werner
JF  - International Journal of Theoretical Physics. 44 (2005), H. 11
Y1  - 2005
SN  - 1572-9575
SP  - 2041
EP  - 2049
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  - 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  - 
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
A1  - Gudder, S.
A1  - Hagler, J.
T1  - An Uncertainty Relation for Joint Position-Momentum Measurements
JF  - Foundations of Physics Letters. 1 (1988), H. 3
Y1  - 1988
SN  - 1572-9524
SP  - 287
EP  - 292
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  -