Abstract
We start by summarising some basic concepts in the research field of quantum mechanics of time. In the following, we will review some recent results namely a new version of an energy-time uncertainty relation and a no-go theorem about tunnelling times.
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Muga, J.G., Sala Mayato, R., Egusquiza, I.L. (eds.): Time in Quantum Mechanics. Lecture Notes in Physics, vol. 72. Springer, Berlin (2002)
Muga, J.G., Ruschhaupt, A., del Campo, A. (eds.): Time in Quantum Mechanics – Vol. 2. Lecture Notes in Physics, vol. 789. Springer, Berlin (2009)
Holevo, A.S.: Probabilistic and Statistical Aspects of Quantum Theory. North-Holland, Amsterdam (1982)
Ludwig, G.: Foundations of Quantum Mechanics, vol. I. Springer, Berlin (1983)
Busch, P., Grabowski, M., Lahti, P.: Operational Quantum Physics, 2nd edn. Springer, Berlin (1997)
Kijowski, J.: Rep. Math. Phys. 6, 361 (1974)
Werner, R.F.: J. Math. Phys. 27, 793 (1986)
Muga, J.G., Leavens, C.R.: Phys. Rep. 338, 353 (2000)
Egusquiza, I.L., Muga, J.G., Baute, A.D.: ‘Standard’ quantum mechanical approach to times of arrival. In: Muga, J.G., Sala Mayato, R., Egusquiza, I.L. (eds.) Time in Quantum Mechanics. Lecture Notes in Physics, vol. 72. Springer, Berlin (2002)
Allcock, G.R.: Ann. Phys. 53, 253 (1969)
Werner, R.F.: Ann. Inst. H. Poincaré Phys. Théor. 47, 429 (1987)
Muga, J.G., Palao, J.P., Navarro, B., Egusquiza, I.L.: Phys. Rep. 395, 357 (2004)
Damborenea, J.A., Egusquiza, I.L., Hegerfeldt, G.C., Muga, J.G.: Phys. Rev. A 66, 052104 (2002)
Ruschhaupt, A., Muga, J.G., Hegerfeldt, G.C.: Detector models for the quantum time of arrival. In: Muga, J.G., Ruschhaupt, A., del Campo, A. (eds.) Time in Quantum Mechanics – Vol. 2. Lecture Notes in Physics, vol. 789. Springer, Berlin (2009)
Hartman, T.E.: J. Appl. Phys. 33, 3427 (1962)
Büttiker, M., Landauer, R.: Phys. Rev. Lett. 49, 1739 (1982)
Enders, A., Nimtz, G.: J. Phys. I France 2, 1693 (1992)
Steinberg, A.M., Kwiat, P.G., Chiao, R.Y.: Phys. Rev. Lett. 71, 708 (1993)
Eckle, P., et al.: Science 322, 1525 (2008)
Nimtz, G., Heitmann, W.: Prog. Quantum Electron. 21, 81 (1987)
Blanchard, Ph., Jadczyk, A.: Phys. Lett. A 203, 260 (1995)
Blanchard, Ph., Jadczyk, A.: Rep. Math. Phys. 36, 235 (1995)
Blanchard, Ph., Jadczyk, A.: Event-enhanced formalism of quantum theory or columbus solution to the quantum measurement problem. In: Belavkin, V.P., et al. (eds.) Quantum Communications and Measurement. Plenum Press, New York (1995)
Blanchard, Ph., Jadczyk, A.: Ann. Physik 4, 583 (1995)
Blanchard, Ph., Jadczyk, A.: Helv. Phys. Acta 69, 613 (1996)
Palao, J.P., Muga, J.G., Brouard, S., Jadczyk, A.: Phys. Lett. A 233, 227 (1997)
Ruschhaupt, A.: Phys. Lett. A 250, 249 (1998)
Ruschhaupt, A., Damborenea, J.A., Navarro, B., Muga, J.G., Hegerfeldt, G.C.: Europhys. Lett. 67, 1 (2004)
Blanchard, Ph., Jadczyk, A.: Found. Phys. 26, 1669 (1996)
Ruschhaupt, A.: J. Phys. A 35, 9227 (2002)
Ruschhaupt, A.: J. Phys. A 35, 10429 (2002)
Heisenberg, W.: Z. Phys. 43, 172 (1927)
Kennard, E.: Z. Phys. 44, 326 (1927)
Werner, R.F.: Quantum Inf. Comput. 4, 546 (2004)
Busch, P., Heinonen, T., Lahti, P.: Phys. Rep. 452, 155 (2007)
Busch, P.: The time-energy uncertainty relation. In: Muga, J.G., Sala Mayato, R., Egusquiza, I.L. (eds.) Time in Quantum Mechanics. Lecture Notes in Physics, vol. 72. Springer, Berlin (2002)
Holevo, A.: Rep. Math. Phys. 16, 385 (1979)
Kiukas, J., Ruschhaupt, A., Schmidt, P.O., Werner, R.F.: J. Phys. A 45, 185301 (2012)
Kiukas, J., Ruschhaupt, A., Werner, R.F.: Found. Phys. 39, 829 (2009)
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Ruschhaupt, A., Werner, R.F. (2015). Quantum Mechanics of Time. In: Blanchard, P., Fröhlich, J. (eds) The Message of Quantum Science. Lecture Notes in Physics, vol 899. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-46422-9_14
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DOI: https://doi.org/10.1007/978-3-662-46422-9_14
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