Bohm trajectories and the tunneling time problem

From National Research Council Canada

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DOI	Resolve DOI: https://doi.org/10.1007/978-3-642-80118-1_6
Author	Search for: Leavens, C. R.¹; Search for: Aers, G. C.¹
Name affiliation	National Research Council Canada. NRC Institute for Microstructural Sciences
Format	Text
Type	Book chapter
Book title	Scanning Tunneling Microscopy III
Series title	Springer Series in Surface Sciences; no. 29
ISBN	978-3-540-60824-0 978-3-642-80118-1
Pages	105–140
Subject	wave packet; transmission time; transmission probability; quantum potential; tunneling time
Abstract	Although many approaches based on conventional interpretations of quantum mechanics have been developed for calculating the average time taken for an electron to tunnel through a potential barrier, a satisfactory solution remains elusive. These approaches are discussed very briefly, focussing on the question of whether the concept of ‘tunneling time’ or, more generally, ‘mean transmission time’ is a meaningful one. Then it is shown that Bohm’s causal or trajectory interpretation provides a well-defined and unambiguous prescription for calculating transmission times that are conceptually meaningful within that interpretation. Results of such calculations are presented for single and double rectangular barriers. The time-modulated rectangular barrier is treated in detail to emphasize the importance of considering distributions of transmission and reflection times and not just the mean transmission time. Finally, the possibility of determining tunneling times experimentally is discussed.
Publication date	1996
Publisher	Springer
Language	English
Peer reviewed	Yes
NPARC number	23002896
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Record identifier	e4761330-a83d-419e-9e02-a0d533310cb2
Record created	2018-03-21
Record modified	2020-03-03

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Date modified:: 2020-03-31