Traversal time in quantum scattering

Sokolovski, D.; Baskin, Lev

doi:10.1103/physreva.36.4604

Cited by 277 publications

(203 citation statements)

References 10 publications

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“…Sokolovski and Baskin [66], using this kinematic approach to quantum mechanics, showed that a formal generalization of the classical time concept to the traversal time lead to a complex quantity.…”

Section: Complex Timementioning

confidence: 99%

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Tunneling time in nanostructures

Gasparian

Ortuño

Schön³

et al. 2000

Handbook of Nanostructured Materials and Nanotechnology

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We review existing approaches to the problem of tunneling time, focussing on the Larmor clock approach. We develop a Green's function formalism and with it we are able to obtain close expressions for the tunneling and for the reflection times. A strong analogy between the results of the different approaches is established, and we show that their main differences are due to finite size effects. Furthermore we study the dwell time, and check that it can be exactly written as an average of one of the components of the traversal and the reflection times.We apply the results to a rectangular barrier, a periodic system and resonant tunneling, and we analyze the dependence of the tunneling time with the size of the wavepacket.We also discuss the recharging time in chemical nanostructures like ligand stabilized microclusters. We show that for nanoparticles with very small tunneling resistance RT ≤ 10 5 Ω it becomes to the same order of magnitude with tunneling time. CONTENTS

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Section: Complex Timementioning

confidence: 99%

“…As a consequence of the conservation of angular momentum we can write the following identity between the characteristic times for transmission and reflection corresponding to the direction of the magnetic field (Büttiker [45], Sokolovski and Baskin [66])…”

Section: B Reflection Timementioning

confidence: 99%

Tunneling time in nanostructures

Gasparian

Ortuño

Schön³

et al. 2000

Handbook of Nanostructured Materials and Nanotechnology

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“…In terms of the path integral formalism [14,15,16], the traversal time has a distribution, because all possible paths are considered and a certain weight is assigned to each path in the path integral. According to Fertig[16], the probability amplitude of a particle spending time τ in region II is defined by…”

Section: A Traversal Time and Transmission Probabilitymentioning

confidence: 99%

“…In this Letter, we employ a path decomposition expansion method [13,14,15,16] based on the path-integral approach, and develop it to incorporate dissipative processes. Then we discuss the effect of dissipation on quantum transmission resonance.…”

Section: Introductionmentioning

confidence: 99%

The effect of dissipation on quantum transmission resonance

et al. 2007

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“…This interpretation brings the Larmor clock into agreement with the time-scales obtained by considering tunneling through a barrier with an oscillating potential [15]. Subsequent works have argued that the precession angle and the rotation angle dived by the Larmor precession frequency separately should be viewed as time scales [16,17]. The difficulty with such an interpretation is not only that one has two scales characterizing the same process, but the times defined in such a way are also not necessarily positive.…”

Section: Introductionmentioning

confidence: 64%

The Local Larmor Clock, Partial Densities of States, and Mesoscopic Physics

Büttiker

Time in Quantum Mechanics

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Abstract. Starting from the Larmor clock we introduce a hierarchy of density of states. At the bottom of this hierarchy are the partial densities of states which represent the contribution to the local density of states if both the incident and the out-going scattering channel is prescribed. We discuss the role of the partial densities of states in a number of electrical conduction problems in phase coherent mesoscopic systems: The partial densities of states play a prominent role in measurements with a scanning tunneling microscope on multiprobe conductors in the presence of current flow. The partial densities of states determine the degree of dephasing generated by a weakly coupled voltage probe. We show that the partial densities of states determine the frequency-dependent response of mesoscopic conductors in the presence of slowly oscillating voltages applied to the contacts of the sample. We introduce the off-diagonal elements of the partial density of states matrix to describe fluctuation processes. These examples demonstrate that the analysis of the Larmor clock has a wide range of applications.

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Traversal time in quantum scattering

Cited by 277 publications

References 10 publications

Tunneling time in nanostructures

Tunneling time in nanostructures

The effect of dissipation on quantum transmission resonance

The Local Larmor Clock, Partial Densities of States, and Mesoscopic Physics

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