SCATTERING OF A QUANTUM PARTICLE ON THE POTENTIAL STEP: CHARACTERISTIC TIMES FOR THE TRANSMISSION AND REFLECTION

Chuprikov N. L.

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We present a new model of scattering a quantum particle on the potential step, which reconstructs the prehistory of the subensembles of transmitted and reflected particles by their final states. Unlike the conventional one this model predicts the existence of a transitional spatial region behind the potential step where the probability to find reflected particles is nonzero and the average velocity of transmitted particles monotonously varies between asymptotic values. For both subprocesses we define the dwell and asymptotic group times.

Keywords: potential step, dwell time, group velocity

References:

[1] Le´on J., Julve J., Pitanga P. and de Urr´ies F. J. 2000 Phys. Rev. A 61 062101.

[2] Davies P. C. W. 2005 Am. J. Phys. 73 23.

[3] Dai-Yu Xu, Towe Wang, Xun Xue. 2013 Found. Phys. 43 1257.

[4] Buttiker M. and Landauer R. 1982 ¨ Phys. Rev. Lett. 49 1739.

[5] Chuprikov N. L. 2006 Russ. Phys. J. 49 119.

[6] Chuprikov N. L. 2006 Russ. Phys. J. 49 314.

[7] Chuprikov N. L. 2008 Vestnik of Samara State University. Natural Science Series 67, No. 8/1 625.

[8] Chuprikov N. L. 2011 Found. Phys. 41 1502.

[9] Buttiker M. 1983 ¨ Phys. Rev. B. 27 6178.

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Issue: 12, 2014

Series of issue: Issue 12

Pages: 44 — 52

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