@article{Stulpe2013, author = {Stulpe, Werner}, title = {From the attempt of certain classical reformulations of quantum mechanics to quasi-probability representations}, series = {Journal of mathematical physics}, volume = {55}, journal = {Journal of mathematical physics}, number = {1}, publisher = {American Institute of Physics}, issn = {1089-7658 (Online)}, doi = {10.1063/1.4861939}, pages = {25 Seiten}, year = {2013}, abstract = {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.}, language = {de} } @article{Stulpe2014, author = {Stulpe, Werner}, title = {From the attempt of certain classical reformulations of quantum mechanics to quasi-probability representations}, series = {Journal of Mathematical Physics}, volume = {55}, journal = {Journal of Mathematical Physics}, number = {1}, publisher = {AIP Publishing}, address = {College Park, Md.}, issn = {222-488}, doi = {10.1063/1.4861939}, pages = {Artikel 012109}, year = {2014}, abstract = {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.}, language = {en} } @article{Stulpe2019, author = {Stulpe, Werner}, title = {Aspects of the Quantum-Classical Connection Based on Statistical Maps}, series = {Foundations of Physics}, volume = {49}, journal = {Foundations of Physics}, number = {6}, publisher = {Springer}, address = {Berlin}, doi = {10.1007/s10701-019-00269-9}, pages = {677 -- 692}, year = {2019}, language = {en} } @article{Stulpe2020, author = {Stulpe, Werner}, title = {Pairwise coexistence of effects versus coexistence}, series = {Journal of Physics: Conference Series}, volume = {1638}, journal = {Journal of Physics: Conference Series}, number = {012004}, publisher = {IOP}, address = {Bristol}, issn = {1742-6596}, doi = {10.1088/1742-6596/1638/1/012004}, pages = {1 -- 21}, year = {2020}, language = {en} } @article{StulpeBjelakovic2005, author = {Stulpe, Werner and Bjelakovic, Igor}, title = {The Projective Hilbert Space as a Classical Phase Space for Nonrelativistic Quantum Dynamics. Bjelakovic, Igor; Stulpe, Werner}, series = {International Journal of Theoretical Physics. 44 (2005), H. 11}, journal = {International Journal of Theoretical Physics. 44 (2005), H. 11}, isbn = {1572-9575}, pages = {2041 -- 2049}, year = {2005}, language = {en} } @article{StulpeBugajskiHellwig1998, author = {Stulpe, Werner and Bugajski, S. and Hellwig, K.-E.}, title = {On Fuzzy Random Variables and Statistical Maps. Bugajski, S.; Hellwig, K.-E.; Stulpe, W.}, series = {Reports on Mathematical Physics. 41 (1998), H. 1}, journal = {Reports on Mathematical Physics. 41 (1998), H. 1}, isbn = {0034-4877}, pages = {1 -- 11}, year = {1998}, language = {en} } @article{StulpeBuschHellwig1993, author = {Stulpe, Werner and Busch, P. and Hellwig, K.-E.}, title = {Classical Representations of Finite-Dimensional Quantum Mechanics. Busch, P.; Hellwig, K.-E.; Stulpe, W.}, series = {International Journal of Theoretical Physics. 32 (1993), H. 3}, journal = {International Journal of Theoretical Physics. 32 (1993), H. 3}, isbn = {1572-9575}, pages = {399 -- 405}, year = {1993}, language = {en} } @article{StulpeBusch2008, author = {Stulpe, Werner and Busch, Paul}, title = {The structure of classical extensions of quantum probability theory}, series = {Journal of Mathematical Physics. 49 (2008), H. 3}, journal = {Journal of Mathematical Physics. 49 (2008), H. 3}, isbn = {1089-7658}, pages = {1 -- 22}, year = {2008}, language = {en} } @article{StulpeGudderHagler1988, author = {Stulpe, Werner and Gudder, S. and Hagler, J.}, title = {An Uncertainty Relation for Joint Position-Momentum Measurements}, series = {Foundations of Physics Letters. 1 (1988), H. 3}, journal = {Foundations of Physics Letters. 1 (1988), H. 3}, isbn = {1572-9524}, pages = {287 -- 292}, year = {1988}, language = {en} } @article{StulpeHellwig1983, author = {Stulpe, Werner and Hellwig, K.-E.}, title = {A Formulation of Quantum Stochastic Processes and Some of its Properties. Hellwig, K.-E.; Stulpe, W.}, series = {Foundations of Physics. 13 (1983), H. 7}, journal = {Foundations of Physics. 13 (1983), H. 7}, isbn = {1572-9516}, pages = {673 -- 699}, year = {1983}, language = {en} }