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Quantum particle motion in absorbing harmonic trap

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Abstract

The motivation of this work is to get an insight into the irreversible energy dissipation on the quantum level. The presented examination procedure is based on the Feynman path integral method that is applied and widened toward the calculation of the kernel of a quantum mechanical damped oscillator. Here, it is shown that the energy loss of the oscillator can be generated by the introduced harmonic complex potential. The related damped wave function, however, does not pertain to the probability as it is usual in the case of complex absorbing potentials. This decrease in the wave function is evaluated, by which the energy dissipation—the measure of the irreversibility—is also calculated.

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Acknowledgments

This work is supported by the New Hungary Development Plan (Project ID: TÁMOP-4.2.1/B-09/1/KMR-2010-0002). This work is also supported by ERC Grant No. ERC-259374-Sylo.

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Authors and Affiliations

  1. Department of Physics, Budapest University of Technology and Economics, Budafoki út 8, Budapest, 1521, Hungary

    B. G. Márkus & F. Márkus

  2. MTA-BME Lendület Spintronics Research Group (PROSPIN), POBox 91, Budapest, 1521, Hungary

    B. G. Márkus

Authors
  1. B. G. Márkus
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  2. F. Márkus
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Correspondence to F. Márkus.

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Márkus, B.G., Márkus, F. Quantum particle motion in absorbing harmonic trap. Indian J Phys 90, 441–446 (2016). https://doi.org/10.1007/s12648-015-0774-9

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  • DOI: https://doi.org/10.1007/s12648-015-0774-9

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