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Quantum mechanical evolution operator in the presence of a scalar linear potential: discussion on the evolved state, phase shift generator and tunneling

2014/06/06 by F. Fratini, Filippo Fratini, L. Safari +1
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum and electron transport phenomena #Spectroscopy and Quantum Chemical Studies #cond-mat.mes-hall #cond-mat.mtrl-sci #quant-ph

paper · pdf · doi:10.1088/0031-8949/89/8/085004

published as Phys. Scr. 89, 085004 (2014) · in press in Physica Scripta

arxiv created 2014/06/06 · openalex publication_date 2014/07/02 · arxiv updated 2014/10/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We discuss the form of the wave-function of a state subjected to a scalar linear potential, paying special attention to quantum tunneling. We analyze the phases acquired by the evolved state and show that some of them have a pure quantum mechanical origin. In order to measure one of these phases, we propose a simple experimental scenario. We finally apply the evolution equations to re-analyze the Stern&Gerlach experiment and to show how to manipulate spin by employing constant electric fields.

Citations