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Investigation of Some Quantum Mechanics Problems with κ-Translation Symmetry

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Abstract

In this paper the κ-deformed translation symmetry is considered based on the κ-addition appearing in the κ-deformed statistical mechanics. The deformed quantum theory with κ-translation symmetry is constructed. The plane wave κ-translation symmetry is constructed. The Ramsauer-Townsend effect and one dimensional box problem in the deformed quantum theory with κ-translation symmetry is discussed. Finally, the quantum harmonic oscillator problem in the deformed quantum theory with κ-translation symmetry is discussed.

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Acknowledgements

The authors thank the anonymous reviewers for their helpful and constructive comments.

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Authors and Affiliations

  1. Department of Physics and Research Institute of Natural Science, College of Natural Science, Gyeongsang National University, Jinju, 660-701, Korea

    Won Sang Chung

  2. Faculty of Physics, Shahrood University of Technology, Shahrood, Iran

    Hassan Hassanabadi

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  1. Won Sang Chung
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  2. Hassan Hassanabadi
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Correspondence to Hassan Hassanabadi.

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Chung, W.S., Hassanabadi, H. Investigation of Some Quantum Mechanics Problems with κ-Translation Symmetry. Int J Theor Phys 61, 110 (2022). https://doi.org/10.1007/s10773-022-05079-w

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  • DOI: https://doi.org/10.1007/s10773-022-05079-w

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