@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} } @article{StulpeSinger1990, author = {Stulpe, Werner and Singer, Matthias}, title = {Informational Incompleteness of the Observables Sx,Sy,Sz for Spin-1 Systems. Singer, Matthias; Stulpe, W.}, series = {Foundations of Physics. 20 (1990), H. 4}, journal = {Foundations of Physics. 20 (1990), H. 4}, isbn = {1572-9516}, pages = {471 -- 472}, year = {1990}, language = {en} } @book{Stulpe1986, author = {Stulpe, Werner}, title = {Bedingte Erwartungen und stochastische Prozesse in der generalisierten Wahrscheinlichkeitstheorie : Beschreibung sukzessiver Messungen mit zuf{\"a}lligem Ausgang}, address = {Berlin}, pages = {199 S.}, year = {1986}, language = {de} } @article{Stulpe1987, author = {Stulpe, Werner}, title = {Conditional Expectations and Stochastic Processes in Quantum Probability}, series = {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 ...}, journal = {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 ...}, publisher = {Springer}, address = {Wien [u.a.]}, isbn = {3-211-81992-4}, pages = {223 -- 234}, year = {1987}, language = {en} } @article{Stulpe1988, author = {Stulpe, Werner}, title = {Conditional Expectations, Conditional Distributions, and A Posteriori Ensembles in Generalized Probability Theory}, series = {International Journal of Theoretical Physics. 27 (1988), H. 5}, journal = {International Journal of Theoretical Physics. 27 (1988), H. 5}, isbn = {1572-9575}, pages = {587 -- 611}, year = {1988}, language = {en} } @book{Stulpe1997, author = {Stulpe, Werner}, title = {Classical Representations of Quantum Mechanics Related to Statistically Complete Observables}, publisher = {Wissenschaft und Technik Verl.}, address = {Berlin}, isbn = {3-89685-438-0}, pages = {117 S. : graph. Darst.}, year = {1997}, 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{StulpeRuch1998, author = {Stulpe, Werner and Ruch, Ernst}, title = {Proof of the Mixing Theorem for Statistical Systems in Classical Physics. Ruch, Ernst; Stulpe, Werner}, series = {Acta Applicandae Mathematicae. 53 (1998), H. 3}, journal = {Acta Applicandae Mathematicae. 53 (1998), H. 3}, isbn = {1572-9036}, pages = {329 -- 352}, year = {1998}, language = {en} } @article{Stulpe1992, author = {Stulpe, Werner}, title = {On the Representation of Quantum Mechanics on Phase Space}, series = {International Journal of Theoretical Physics. 31 (1992), H. 9}, journal = {International Journal of Theoretical Physics. 31 (1992), H. 9}, isbn = {1572-9575}, pages = {1785 -- 1795}, year = {1992}, 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{Stulpe1998, author = {Stulpe, Werner}, title = {On the Representation of Quantum Mechanics on a Classical Sample Space}, series = {International Journal of Theoretical Physics. 37 (1998), H. 1}, journal = {International Journal of Theoretical Physics. 37 (1998), H. 1}, isbn = {1572-9575}, pages = {349 -- 356}, year = {1998}, 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{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{StulpeSinger1990, author = {Stulpe, Werner and Singer, Matthias}, title = {Some Remarks on the Determination of Quantum States by Measurements}, series = {Foundations of Physics Letters. 3 (1990), H. 2}, journal = {Foundations of Physics Letters. 3 (1990), H. 2}, isbn = {1572-9524}, pages = {153 -- 166}, year = {1990}, language = {en} } @article{StulpeSwat2001, author = {Stulpe, Werner and Swat, Maciej}, title = {Quantum States as Probability Measures}, series = {Foundations of Physics Letters. 14 (2001), H. 3}, journal = {Foundations of Physics Letters. 14 (2001), H. 3}, isbn = {1572-9524}, pages = {285 -- 293}, year = {2001}, language = {en} } @article{StulpeSinger1992, author = {Stulpe, Werner and Singer, Matthias}, title = {Phase-Space Representations of General Statistical Physical Theories. Singer, Matthias; Stulpe, Werner}, series = {Journal of Mathematical Physics. 33 (1992), H. 1}, journal = {Journal of Mathematical Physics. 33 (1992), H. 1}, isbn = {1089-7658}, pages = {131 -- 142}, year = {1992}, language = {en} } @article{StulpeHellwig1993, author = {Stulpe, Werner and Hellwig, K.-E.}, title = {A Classical Reformulation of Finite-Dimensional Quantum Mechanics. Hellwig, K.-E.; Stulpe, W.}, series = {Quantum measurement, irreversibility and the physics of information / Symposium on the Foundations of Modern Physics 1993, Cologne, Germany 1 - 5 June 1993. Ed. Paul Busch}, journal = {Quantum measurement, irreversibility and the physics of information / Symposium on the Foundations of Modern Physics 1993, Cologne, Germany 1 - 5 June 1993. Ed. Paul Busch}, publisher = {World Scientific}, address = {Singapore [u.a.]}, isbn = {981021507X}, pages = {209 -- 214}, year = {1993}, language = {en} } @article{Stulpe1994, author = {Stulpe, Werner}, title = {Some Remarks on Classical Representations of Quantum Mechanics}, series = {Foundations of Physics . 24 (1994), H. 7}, journal = {Foundations of Physics . 24 (1994), H. 7}, isbn = {1572-9516}, pages = {1089 -- 1094}, year = {1994}, 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{Stulpe2009, author = {Stulpe, Werner}, title = {Density Operator}, series = {Compendium of Quantum Physics : concepts, experiments, history and philosophy / Daniel Greenberger ... ed.}, journal = {Compendium of Quantum Physics : concepts, experiments, history and philosophy / Daniel Greenberger ... ed.}, publisher = {Springer}, address = {Berlin}, isbn = {978-3-540-70622-9}, pages = {166 -- 169}, year = {2009}, language = {en} } @article{StulpeScholz2009, author = {Stulpe, Werner and Scholz, Erhard}, title = {Hilbert Space / Scholz, Erhard ; Stulpe, Werner}, series = {Compendium of Quantum Physics : concepts, experiments, history and philosophy / Daniel Greenberger ... ed.}, journal = {Compendium of Quantum Physics : concepts, experiments, history and philosophy / Daniel Greenberger ... ed.}, publisher = {Springer}, address = {Berlin}, isbn = {978-3-540-70622-9}, pages = {291 -- 295}, year = {2009}, language = {en} } @article{Stulpe2009, author = {Stulpe, Werner}, title = {Operator}, series = {Compendium of Quantum Physics : concepts, experiments, history and philosophy / Daniel Greenberger ... ed.}, journal = {Compendium of Quantum Physics : concepts, experiments, history and philosophy / Daniel Greenberger ... ed.}, publisher = {Springer}, address = {Berlin}, isbn = {978-3-540-70622-9}, pages = {440 -- 444}, year = {2009}, language = {en} } @article{Stulpe2009, author = {Stulpe, Werner}, title = {Projection}, series = {Compendium of Quantum Physics : concepts, experiments, history and philosophy / Daniel Greenberger ... ed.}, journal = {Compendium of Quantum Physics : concepts, experiments, history and philosophy / Daniel Greenberger ... ed.}, publisher = {Springer}, address = {Berlin}, isbn = {978-3-540-70622-9}, pages = {497 -- 499}, year = {2009}, language = {en} } @article{Stulpe2009, author = {Stulpe, Werner}, title = {Self-Adjoint Operator}, series = {Compendium of Quantum Physics : concepts, experiments, history and philosophy / Daniel Greenberger ... ed.}, journal = {Compendium of Quantum Physics : concepts, experiments, history and philosophy / Daniel Greenberger ... ed.}, publisher = {Springer}, address = {Berlin}, isbn = {978-3-540-70622-9}, pages = {692 -- 697}, year = {2009}, language = {en} } @article{Stulpe2009, author = {Stulpe, Werner}, title = {Unitary Operator}, series = {Compendium of Quantum Physics : concepts, experiments, history and philosophy / Daniel Greenberger ... ed.}, journal = {Compendium of Quantum Physics : concepts, experiments, history and philosophy / Daniel Greenberger ... ed.}, publisher = {Springer}, address = {Berlin}, isbn = {978-3-540-70622-9}, pages = {807 -- 809}, year = {2009}, language = {en} } @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} }