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Detector Models for the Quantum Time of Arrival

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Time in Quantum Mechanics - Vol. 2

Part of the book series: Lecture Notes in Physics ((LNP,volume 789))

Abstract

Quantum particles are characterized, for a given preparation, by a fundamental stochasticity of their observable features, such as positions, momenta, energies, or times, e.g., times of arrival at a detector in time-of-flight experiments. In quantum theory the preparation stage is encoded in a wave function, whereas averages or statistical moments of the observables are calculated by a well-known prescription (the expectation value integral) from self-adjoint operators and their powers: this is at least the case for position, momentum, or energy. In fact, the entire statistical distributions are given by the square modulus of the overlap of the wave function with the corresponding eigenstates.

There is so much in that moment!

John Asherby

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Acknowledgments

This work could not have been completed without the aid of A. del Campo, J. A. Damborenea, J. Echanobe, I. L. Egusquiza, V. Hannstein, B. Navarro, and D. Seidel. We also acknowledge "Acciones Integradas" of the German Academic Exchange Service (DAAD) and Ministerio de Educaci´on y Ciencia and additional support from the Max Planck Institute for the Physics of Complex Systems; MEC (FIS2006-10268-C03-01); and UPV-EHU (GIU07/40). AR acknowledges support by the German Research Foundation (DFG).

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Authors and Affiliations

  1. Institut für Mathematische Physik, TU Braunschweig, Mendelssohnstr 3, 38106, Braunschweig, Germany

    Andreas Ruschhaupt

  2. Departamento de Química Física, UPV-EHU, Apdo 644, 48080, Bilbao, Spain

    J. Gonzalo Muga

  3. Institut für Theoretische Physik, Universität Göttingen, D-37077, Friedrich–Hund–Platz 1, Göttingen, Germany

    Gerhard C. Hegerfeldt

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  1. Andreas Ruschhaupt
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  2. J. Gonzalo Muga
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Correspondence to Andreas Ruschhaupt .

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Editors and Affiliations

  1. Depto. Quimica Fisica EHU, Universidad Pais Vasco, Apartado 644, Bilbao, 48080, Spain

    Gonzalo Muga

  2. Inst. Mathematische Physik, TU Braunschweig, Mendelssohnstr. 3, Braunschweig, 38106, Germany

    Andreas Ruschhaupt

  3. Inst. Mathematical Sciences, Imperial College London, Prince's Gate 53, London, SW7 2PG, UK

    Adolfo del Campo

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Ruschhaupt, A., Muga, J.G., Hegerfeldt, G.C. (2009). Detector Models for the Quantum Time of Arrival. In: Muga, G., Ruschhaupt, A., del Campo, A. (eds) Time in Quantum Mechanics - Vol. 2. Lecture Notes in Physics, vol 789. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03174-8_4

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