Arrival time distributions and perfect absorption in classical and quantum mechanics

Muga, J. G.; Palao, José P.; Leavens, C.R.

doi:10.1016/s0375-9601(99)00020-1

Cited by 85 publications

(84 citation statements)

References 21 publications

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“…One can show however that these "averages" do coincide with the ones calculated with the positive definite "ideal" time-of-arrival distribution of Kijowski [37,38]. They are also in essential agreement with averages computed with localized detectors modeled by complex potentials [39,40].…”

Section: The Hartman Effect and Its Large-barrier-width Limitationsupporting

confidence: 70%

Bounds and enhancements for negative scattering time delays

et al. 2002

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The time of passage of the transmitted wave packet in a tunneling collision of a quantum particle with a square potential barrier becomes independent of the barrier width in a range of barrier thickness. This is the Hartman effect, which has been frequently associated with "superluminality". A fundamental limitation on the effect is set by non-relativistic "causality conditions". We demonstrate first that the causality conditions impose more restrictive bounds on the negative time delays (time advancements) when no bound states are present. These restrictive bounds are in agreement with a naive, and generally false, causality argument based on the positivity of the "extrapolated phase time", one of the quantities proposed to characterize the duration of the barrier's traversal. Nevertheless, square wells may in fact lead to much larger advancements than square barriers. We point out that close to thresholds of new bound states the time advancement increases considerably, while, at the same time, the transmission probability is large, which facilitates the possible observation of the enhanced time advancement.

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Section: The Hartman Effect and Its Large-barrier-width Limitationsupporting

confidence: 70%

Bounds and enhancements for negative scattering time delays

et al. 2002

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“…The distribution of Ref. [7] has been studied, compared to other approaches, and generalized by some of us for systems subject to interaction potentials and to multi-particle systems [9,10,11,12,13,14].…”

Section: Introductionmentioning

confidence: 99%

Measurement-based approach to quantum arrival times

et al. 2002

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For a quantum-mechanically spread-out particle we investigate a method for determining its arrival time at a specific location. The procedure is based on the emission of a first photon from a two-level system moving into a laser-illuminated region. The resulting temporal distribution is explicitly calculated for the one-dimensional case and compared with axiomatically proposed expressions. As a main result we show that by means of a deconvolution one obtains the well known quantum mechanical probability flux of the particle at the location as a limiting distribution.

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“…The last part of the above-mentioned list (Aharonov et al, 1998;Atmanspacher & Amann, 1998;Blanchard P & Jadczyk, 1996;Busch et al, 1994;Delgado, 1999;Egusquiza & Muga, 1999;Giannitrapani, 1997;GóźdźA&D ȩbicki, 2007;Grot et al, 1996;Kijowski, 1997;Kobe et al, 1994;Kocha'nski & Wo'dkievicz, 1999;Leo'n, 1997;Muga et al, 1999;Olkhovsky & Recami, 1992;Olkhovsky et al, 1995;Olkhovsky & Agresti, 1997;Olkhovsky et al, 2004;Olkhovsky & Recami, 2007;Toller, 1999;Wang & Xiong, 2007), of papers, in particular Refs. (Aharonov et al, 1998;Atmanspacher & Amann, 1998;Blanchard P & Jadczyk, 1996;Delgado, 1999;Egusquiza & Muga, 1999;Giannitrapani, 1997;GóźdźA&D ȩbicki, 2007;Grot et al, 1996;Kijowski, 1997;Kobe et al, 1994;Kocha'nski & Wo'dkievicz, 1999;Leo'n, 1997;Muga et al, 1999;Toller, 1999;Wang & Xiong, 2007), appeared in the nineties, devoted to the problem of Time in non-relativistic quantum mechanics, essentially because of the need to define the tunnelling time.…”

Section: On Time As An Observable In Non-relativistic Quantum Mechanimentioning

confidence: 99%

“…The list of papers devoted to the problem of time in quantum mechanics is extremely large (see, for instance, Refs. (Aharonov et al, 1998;Atmanspacher & Amann, 1998;Blanchard P & Jadczyk, 1996;Busch et al, 1994;Delgado, 1999;Egusquiza & Muga, 1999;Giannitrapani, 1997;GóźdźA& Dȩbicki, 2007;Grot et al, 1996;Holevo, 1978;Kijowski, 1997;Kobe et al, 1994;Kocha'nski & Wo'dkievicz, 1999;Leo'n, 1997;Muga et al, 1999;Olkhovsky & Recami, 1968;1970;Olkhovsky, 1973;Olkhovsky et al, 1974;Olkhovsky, 1984;1990;1992;Olkhovsky & Recami, 1992;Olkhovsky et al, 1995;Olkhovsky & Agresti, 1997;Olkhovsky, 1998;Olkhovsky et al, 2004;Olkhovsky & Recami, 2007;Olkhovsky, 2009;2011;Recami, 1976;Srinivas & Vijayalakshmi, 1981;Toller, 1999;Wang & Xiong, 2007), and references therein). The same situation had to be faced also in quantum electrodynamics and, more in general, in relativistic quantum field theory (see, for instance, Refs.…”

Section: Introductionmentioning

confidence: 99%

“…therein. A second set of papers on time in quantum physics (Aharonov et al, 1998;Atmanspacher & Amann, 1998;Blanchard P & Jadczyk, 1996;Busch et al, 1994;Delgado, 1999;Egusquiza & Muga, 1999;Giannitrapani, 1997;GóźdźA&D ȩbicki, 2007;Grot et al, 1996;Kijowski, 1997;Kobe et al, 1994;Kocha'nski & Wo'dkievicz, 1999;Leo'n, 1997;Muga et al, 1999;Olkhovsky & Recami, 1992;Olkhovsky et al, 1995;Olkhovsky & Agresti, 1997;Olkhovsky et al, 2004;Olkhovsky & Recami, 2007;Srinivas & Vijayalakshmi, 1981;Toller, 1999;Wang & Xiong, 2007) appeared in the nineties, stimulated partially by the need of a consistent definition for the tunneling time. It is noticeable, and let us stress it right now, that this second set of papers seems however to have ignored Naimark's theorem (Naimark, 1940), which had previously constituted (directly or indirectly) an important basis for the results in Refs.…”

Section: Introductionmentioning

confidence: 99%

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