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Quantum many-body system in presence of time-dependent potential and electric field

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Abstract

In this article, a quantum many-body system is considered. Then two time-dependent interactions have been added to the system. Changing of them is assumed in general form. After that, by using algebraic method, time evolution of this many-body system has been investigated. In order to study the time evolution, Lewis-Riesenfeld dynamical invariant and time evolution operator method have been used. Appropriate dynamical invariants are constructed and their Eigenvalues are derived as well as appropriate time evolution operators are constructed. These calculations have been done in general form so there are no limiting assumptions on changing of time-dependent functions.

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Authors and Affiliations

  1. Physics Department, Shahrood University of Technology, Shahrood, Iran

    Hadi Sobhani & Hassan Hassanabadi

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  1. Hadi Sobhani
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  2. Hassan Hassanabadi
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Correspondence to Hadi Sobhani.

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Sobhani, H., Hassanabadi, H. Quantum many-body system in presence of time-dependent potential and electric field. Journal of the Korean Physical Society 71, 8–12 (2017). https://doi.org/10.3938/jkps.71.8

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  • DOI: https://doi.org/10.3938/jkps.71.8

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