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Erfonium: A Hooke Atom with Soft Interaction Potential

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Advances in Methods and Applications of Quantum Systems in Chemistry, Physics, and Biology (QSCP 2022)

Part of the book series: Progress in Theoretical Chemistry and Physics ((PTCP,volume 34))

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Abstract

Properties of erfonium, a Hooke atom with the Coulomb interaction potential \(1/ r\) replaced by a non-singular \(\textrm{erf}(\mu \,r)/ r\) potential are investigated. The structure of the Hooke atom potential and properties of its energy spectrum, relative to the ones of the spherical harmonic oscillator and of harmonium, are analyzed. It is shown, that at a certain value of \(\mu \) the system changes its behavior from a harmonium-like regime to a harmonic-oscillator-like regime.

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Acknowledgements

We thank Prof. Henryk A. Witek (National Chiao Tung University, Hsinchu, Taiwan) for his constructive remarks and for useful discussions.

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Authors and Affiliations

  1. Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University, Grudziadzka 5, Toruń, 87-100, Poland

    Jacek Karwowski

  2. Laboratoire de Chimie Théorique, CNRS and Sorbonne University, 4 Place Jussieu, Paris Cedex 05, 75252, France

    Andreas Savin

Authors
  1. Jacek Karwowski
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  2. Andreas Savin
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Corresponding author

Correspondence to Jacek Karwowski .

Editor information

Editors and Affiliations

  1. Institute of Physics, Faculty of Physics, Astronomy, and Informatics, Nicolaus Copernicus University, Toruń, Poland

    Ireneusz Grabowski

  2. Institute of Physics, Faculty of Physics, Astronomy, and Informatics, Nicolaus Copernicus University, Toruń, Poland

    Karolina Słowik

  3. LCP-MR, CNRS and Sorbonne Université, Paris, France

    Jean Maruani

  4. Department of Chemistry, University of Uppsala, Uppsala, Sweden

    Erkki J. Brändas

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Karwowski, J., Savin, A. (2024). Erfonium: A Hooke Atom with Soft Interaction Potential. In: Grabowski, I., Słowik, K., Maruani, J., Brändas, E.J. (eds) Advances in Methods and Applications of Quantum Systems in Chemistry, Physics, and Biology. QSCP 2022. Progress in Theoretical Chemistry and Physics, vol 34. Springer, Cham. https://doi.org/10.1007/978-3-031-52078-5_5

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