34 found
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  1.  56
    Insolubility of the Quantum Measurement Problem for Unsharp Observables.Paul Busch & Abner Shimony - 1996 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 27 (4):397-404.
  2.  60
    Complementarity and Uncertainty in Mach-Zehnder Interferometry and Beyond.Paul Busch & Christopher Shilladay - unknown
    A coherent account of the connections and contrasts between the principles of complementarity and uncertainty is developed starting from a survey of the various formalizations of these principles. The conceptual analysis is illustrated by means of a set of experimental schemes based on Mach-Zehnder interferometry. In particular, path detection via entanglement with a probe system and (quantitative) quantum erasure are exhibited to constitute instances of joint unsharp measurements of complementary pairs of physical quantities, path and interference observables. The analysis uses (...)
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  3.  90
    On the Energy-Time Uncertainty Relation. Part II: Pragmatic Time Versus Energy Indeterminacy. [REVIEW]Paul Busch - 1990 - Foundations of Physics 20 (1):33-43.
    The discussion of a particular kind of interpretation of the energy-time uncertainty relation, the “pragmatic time” version of the ETUR outlined in Part I of this work [measurement duration (pragmatic time) versus uncertainty of energy disturbance or measurement inaccuracy] is reviewed. Then the Aharonov-Bohm counter-example is reformulated within the modern quantum theory of unsharp measurements and thereby confirmed in a rigorous way.
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  4.  98
    Unsharp Quantum Reality.Paul Busch & Gregg Jaeger - 2010 - Foundations of Physics 40 (9-10):1341-1367.
    The positive operator (valued) measures (POMs) allow one to generalize the notion of observable beyond the traditional one based on projection valued measures (PVMs). Here, we argue that this generalized conception of observable enables a consistent notion of unsharp reality and with it an adequate concept of joint properties. A sharp or unsharp property manifests itself as an element of sharp or unsharp reality by its tendency to become actual or to actualize a specific measurement outcome. This actualization tendency—or potentiality—of (...)
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  5.  23
    Some Realizable Joint Measurements of Complementary Observables.Paul Busch - 1987 - Foundations of Physics 17 (9):905-937.
    Noncommuting quantum observables, if considered asunsharp observables, are simultaneously measurable. This fact is exemplified for complementary observables in two-dimensional state spaces. Two proposals of experimentally feasible joint measurements are presented for pairs of photon or neutron polarization observables and for path and interference observables in a photon split-beam experiment. A recent experiment proposed and performed by Mittelstaedt, Prieur, and Schieder in Cologne is interpreted as a partial version of the latter example.
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  6. Quantum–Matter–Spacetime: Peter Mittelstaedt's Contributions to Physics and Its Foundations. [REVIEW]Paul Busch, Joachim Pfarr, Manfred L. Ristig & Ernst-Walther Stachow - 2010 - Foundations of Physics 40 (9-10):1163-1170.
    In a period of over 50 years, Peter Mittelstaedt has made substantial and lasting contributions to several fields in theoretical physics as well as the foundations and philosophy of physics. Here we present an overview of his achievements in physics and its foundations which may serve as a guide to the bibliography (printed in this Festschrift) of his publications. An appraisal of Peter Mittelstaedt’s work in the philosophy of physics is given in a separate contribution by B. Falkenburg.
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  7. Heisenberg's Uncertainty Principle.Paul Busch, Teiko Heinonen & Pekka Lahti - unknown
    Heisenberg's uncertainty principle is usually taken to express a limitation of operational possibilities imposed by quantum mechanics. Here we demonstrate that the full content of this principle also includes its positive role as a condition ensuring that mutually exclusive experimental options can be reconciled if an appropriate trade-off is accepted. The uncertainty principle is shown to appear in three manifestations, in the form of uncertainty relations: for the widths of the position and momentum distributions in any quantum state; for the (...)
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  8.  19
    The Standard Model of Quantum Measurement Theory: History and Applications. [REVIEW]Paul Busch & Pekka J. Lahti - 1996 - Foundations of Physics 26 (7):875-893.
    The standard model of the quantum theory of measurement is based on an interaction Hamiltonian in which the observable to be measured is multiplied by some observable of a probe system. This simple Ansatz has proved extremely fruitful in the development of the foundations of quantum mechanics. While the ensuing type of models has often been argued to be rather artificial, recent advances in quantum optics have demonstrated their principal and practical feasibility. A brief historical review of the standard model (...)
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  9.  17
    On the Energy-Time Uncertainty Relation. Part I: Dynamical Time and Time Indeterminacy. [REVIEW]Paul Busch - 1990 - Foundations of Physics 20 (1):1-32.
    The problem of the validity and interpretation of the energy-time uncertainty relation is briefly reviewed and reformulated in a systematic way. The Bohr-Einsteinphoton-box gedanken experiment is seen to illustrate the complementarity of energy andevent time. A more recent experiment with amplitude-modulated Mößbauer quanta yields evidence for the genuine quantum indeterminacy of event time. In this way, event time arises as a quantum observable.
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  10.  8
    Symmetry, Reference Frames, and Relational Quantities in Quantum Mechanics.Leon Loveridge, Takayuki Miyadera & Paul Busch - 2018 - Foundations of Physics 48 (2):135-198.
    We propose that observables in quantum theory are properly understood as representatives of symmetry-invariant quantities relating one system to another, the latter to be called a reference system. We provide a rigorous mathematical language to introduce and study quantum reference systems, showing that the orthodox “absolute” quantities are good representatives of observable relative quantities if the reference state is suitably localised. We use this relational formalism to critique the literature on the relationship between reference frames and superselection rules, settling a (...)
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  11.  1
    Insolubility of the Quantum Measurement Problem for Unsharp Observables.Paul Busch & Abner Shimony - 1996 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 27 (4):397-404.
  12.  7
    “No Information Without Disturbance”: Quantum Limitations of Measurement.Paul Busch - 2009 - In Wayne C. Myrvold & Joy Christian (eds.), Quantum Reality, Relativistic Causality, and Closing the Epistemic Circle. Springer. pp. 229--256.
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  13.  24
    On the Quantum Theory of Sequential Measurements.Paul Busch, Gianni Cassinelli & Pekka J. Lahti - 1990 - Foundations of Physics 20 (7):757-775.
    The quantum theory of sequential measurements is worked out and is employed to provide an operational analysis of basic measurement theoretical notions such as coexistence, correlations, repeatability, and ideality. The problem of the operational definition of continuous observables is briefly revisited, with a special emphasis on the localization observable. Finally, a brief overview is given of possible applications of the theory to various fields and problems in quantum physics.
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  14.  24
    On the Reality of Spin and Helicity.Paul Busch & Franklin E. Schroeck - 1989 - Foundations of Physics 19 (7):807-872.
  15.  15
    The Problem of Objectification in Quantum Mechanics.Paul Busch & Peter Mittelstaedt - 1991 - Foundations of Physics 21 (8):889-904.
    The hypotheses of weak and strong objectification of quantum mechanical observables, as well as theoretical arguments and experimental evidence against these hypotheses, are systematically reviewed.
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  16.  36
    A Note on Quantum Theory, Complementarity, and Uncertainty.Paul Busch & Pekka J. Lahti - 1985 - Philosophy of Science 52 (1):64-77.
    Uncertainty relations and complementarity of canonically conjugate position and momentum observables in quantum theory are discussed with respect to some general coupling properties of a function and its Fourier transform. The question of joint localization of a particle on bounded position and momentum value sets and the relevance of this question to the interpretation of position-momentum uncertainty relations is surveyed. In particular, it is argued that the Heisenberg interpretation of the uncertainty relations can consistently be carried through in a natural (...)
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  17.  29
    Completely Positive Mappings in Quantum Dynamics and Measurement Theory.Paul Busch & Pekka J. Lahti - 1990 - Foundations of Physics 20 (12):1429-1439.
    The role of completely positive mappings in quantum dynamics and measurement theory is reanalyzed in light of the possibility of a generalized dynamics.
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  18.  10
    The Determination of the Past and the Future of a Physical System in Quantum Mechanics.Paul Busch & Pekka J. Lahti - 1989 - Foundations of Physics 19 (6):633-678.
    The determination of the past and the future of a physical system are complementary aims of measurements. An optimal determination of the past of a system can be achieved by an informationally complete set of physical quantities. Such a set is always strongly noncommutative. An optimal determination of the future of a physical system can be obtained by a Boolean complete set of quantities. The two aims can be reconciled to a reasonable degree with using unsharp measurements.
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  19.  32
    Pekka Johannes Lahti—60th Birthday.Paul Busch, Dennis Dieks & Gerardus ’T. Hooft - 2009 - Foundations of Physics 39 (6):519-520.
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  20.  31
    Between Physics and Philosophy—Festschrift for Peter Mittelstaedt on His 80th Birthday.Paul Busch - 2010 - Foundations of Physics 40 (9-10):1161-1162.
  21.  23
    Philosophical Problems of Modern Physics: Peter Mittelstaedt 1929–2014.Paul Busch - 2015 - Foundations of Physics 45 (5):483-495.
    The University of Cologne and the international community of researchers in foundations of physics mourn the loss of Peter Mittelstaedt, who passed away on November 21, 2014, after a short period of illness. Peter Mittelstaedt held a chair in theoretical physics at the University of Cologne from 1965 until his retirement in 1995. In addition to his engagement as a scientist and academic teacher he was elected first as Dean of the Faculty of Science and then Rector of the University (...)
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  22.  18
    Heisenberg's Uncertainty Relation.Paul Busch & Brigitte Falkenburg - unknown
    This is an entry to the Compendium of Quantum Physics, edited by F Weinert, K Hentschel and D Greenberger, to be published by Springer-Verlag.
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  23.  28
    Peter Mittelstaedt: List of Publications Until 2010. [REVIEW]Paul Busch - 2010 - Foundations of Physics 40 (9-10):1189-1199.
  24.  23
    On the Sharpness and Bias of Quantum Effects.Paul Busch - 2009 - Foundations of Physics 39 (7):712-730.
    The question of quantifying the sharpness (or unsharpness) of a quantum mechanical effect is investigated. Apart from sharpness, another property, bias, is found to be relevant for the joint measurability or coexistence of two effects. Measures of bias will be defined and examples given.
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  25.  43
    Observable (Compendium Entry).Paul Busch & Pekka Lahti - unknown
    This is an entry to the Compendium of Quantum Physics, edited by F Weinert, K Hentschel and D Greenberg, to be published by Springer-Verlag.
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  26.  22
    Peter Mittelstaedt: Philosopher-Physicist. [REVIEW]Paul Busch & Alwyn van der Merwe - 1989 - Foundations of Physics 19 (7):789-791.
  27.  36
    Measurement Theory (Compendium Entry).Paul Busch & Pekka Lahti - unknown
    This is an entry to the Compendium of Quantum Physics, edited by F Weinert, K Hentschel and D Greenberger, to be published by Springer-Verlag.
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  28.  18
    Repeatable Measurements in Quantum Theory: Their Role and Feasibility. [REVIEW]Paul Busch, Marian Grabowski & Pekka J. Lahti - 1995 - Foundations of Physics 25 (9):1239-1266.
    Recent advantages in experimental quantum physics call for a careful reconsideration of the measurement process in quantum mechanics. In this paper we describe the structure of the ideal measurements and their status among the repeatable measurements. Then we provide an exhaustive account of the interrelations between repeatability and the apparently weaker notions of value reproducible or first- kind measurements. We demonstrate the close link between repeatable measurements and discrete observables and show how the ensuing measurement limitations for continuous observables can (...)
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  29.  31
    Lueders Rule (Compendium Entry).Paul Busch & Pekka Lahti - unknown
    This is an entry to the Compendium of Quantum Physics, edited by F Weinert, K Hentschel and D Greenberger, to be published by Springer-Verlag.
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  30.  28
    Book Review: Physical Theory and its Interpretation - Essays in Honor of Jeffrey Bub. [REVIEW]Paul Busch - unknown
    This is a book review. To be published in Studies in History and Philosophy of Modern Physics.
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  31.  26
    Welcher-Weg Experiment (Compendium Entry).Paul Busch & Gregg Jaeger - unknown
    This is an entry to the Compendium of Quantum Physics, edited by F Weinert, K Hentschel and D Greenberger, to be published by Springer-Verlag.
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  32.  24
    Heisenberg's Uncertainty Relation (Compendium Entry).Paul Busch & Brigitte Falkenbuyr - unknown
    This is an entry to the Compendium of Quantum Physics, edited by F Weinert, K Hentschel and D Greenberger, to be published by Springer-Verlag.
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  33.  16
    Effect (Compendium Entry).Paul Busch - unknown
    This is an entry to the Compendium of Quantum Physics, edited by F Weinert, K Hentschel and D Greenberg, to be published by Springer-Verlag.
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  34.  4
    EPR-Bell Tests with Unsharp Observables and Relativistic Quantum Measurement.Paul Busch - 2002 - In T. Placek & J. Butterfield (eds.), Non-Locality and Modality. Kluwer Academic Publishers. pp. 175--193.
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