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Regularization of Quantum Tunneling of Singular Potential Barrier

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Journal of Contemporary Physics (Armenian Academy of Sciences) Aims and scope

Abstract

The quantum tunneling of a singular potential is modeled, as a rule, by the method of regularization. It proceeds from the intermediate usage of a nonsingular-type preimage of the potential function. In this work, it has been ascertained that the preimages continuously differentiable at the point of singularity does not reproduce the singularity in the problem of quantum tunneling.

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Acknowledgments

The State Committee of Science (Ministry of Education, Science, Sport and Art of the Republic of Armenia) financially supported this work in the framework of the Laboratory of Study and Modeling of Quantum Phenomena at Yerevan State University.

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Authors and Affiliations

  1. Yerevan State University, Yerevan, Armenia

    G. A. Muradyan

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  1. G. A. Muradyan
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Correspondence to G. A. Muradyan.

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Russian Text © The Author(s), 2019, published in Izvestiya Natsional’noi Akademii Nauk Armenii, Fizika, 2019, Vol. 54, No. 4, pp. 455–461.

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Muradyan, G.A. Regularization of Quantum Tunneling of Singular Potential Barrier. J. Contemp. Phys. 54, 333–337 (2019). https://doi.org/10.3103/S1068337219040017

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  • DOI: https://doi.org/10.3103/S1068337219040017

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