Generalization of the Ehrenfest theorem to quantum systems with periodical boundary conditions

Andrey L. Sanin; Andrey T. Bagmanov

doi:10.1117/12.619490

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29 April 2005 Generalization of the Ehrenfest theorem to quantum systems with periodical boundary conditions

Andrey L. Sanin, Andrey T. Bagmanov

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Proceedings Volume 5831, Eighth International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering; (2005) https://doi.org/10.1117/12.619490
Event: Eighth International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering, 2004, St. Petersburg, Russian Federation

Abstract

A generalization of Ehrenfest's theorem is discussed. For this purpose the quantum systems with periodical boundary conditions are being revised. The relations for time derivations of mean coordinate and momentum are derived once again. In comparison with Ehrenfest's theorem and its conventional quantities, the additional local terms occur which are caused boundaries. Because of this, the obtained new relations can be named as generalized. An example for using these relations is given.

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Andrey L. Sanin and Andrey T. Bagmanov "Generalization of the Ehrenfest theorem to quantum systems with periodical boundary conditions", Proc. SPIE 5831, Eighth International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering, (29 April 2005); https://doi.org/10.1117/12.619490

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