Bohmian approach to spin-dependent time of arrival for particles in a uniform field and for particles passing through a barrier - Quantum PhysicsReport as inadecuate




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Abstract: It is known that Lorentz covariance fixes uniquely the current and theassociated guidance law in the trajectory interpretation of quantum mechanicsfor spin-1-2 particles. In the nonrelativistic domain this implies a guidancelaw for electrons which differs by an additional spin-dependent term from theone originally proposed by de Broglie and Bohm. Although the additional term inthe guidance equation may not be detectable in the quantum measurements derivedsolely from the probability density $ ho$, it plays a role in the case ofarrival-time measurements. In this paper we compute the arrival timedistribution and the mean arrival time at a given location, with and withoutthe spin contribution, for two problems: 1 a symmetrical Gaussian packet in auniform field and 2 a symmetrical Gaussian packet passing through a 1Dbarrier. Using the Runge-Kutta method for integration of the guidance law,Bohmian paths of these problems are also computed.



Author: S. V. Mousavi, M. Golshani

Source: https://arxiv.org/







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