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Quantum Dynamical Recurrences in Position-Dependent Mass Systems

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Journal of Russian Laser Research Aims and scope

Abstract

Wave-packet dynamics in bounded systems manifests quantum recurrences at different time scales, namely, classical periodicity, quantum revivals, and fractional revivals. Here, we analyze the characteristics of the wave-packet evolution in a special class of quantum systems with position-dependent mass. Such systems are of fundamental interest in many areas, for instance, condensed matter, mathematical physics, and foundations of quantum mechanics. We explore the effect of position-dependence on wavepacket quantum recurrences by theoretic investigation of the temporal evolution of the position-space probability density and autocorrelation function.

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Authors and Affiliations

  1. Department of Physics, School of Natural Sciences, National University of Sciences and Technology, Sector H-12, Islamabad, Pakistan

    Shahid Iqbal

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  1. Shahid Iqbal
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Correspondence to Shahid Iqbal.

Additional information

This manuscript was submitted as a regular paper but the Editorial Board of Journal of Russian Laser Research decided to publish it in this Special issue dedicated to the memory of Dr. Vladimir A. Andreev, since the manuscript contains interesting results related to Andreev’s scientific activity; this fact was also pointed out by referees, who are simultaneously the authors of this issue.

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Iqbal, S. Quantum Dynamical Recurrences in Position-Dependent Mass Systems. J Russ Laser Res 43, 96–103 (2022). https://doi.org/10.1007/s10946-022-10027-4

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  • DOI: https://doi.org/10.1007/s10946-022-10027-4

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