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Extended Gaussian Approximation for Modeling the Quantum Dynamics of Localized Particles

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Book cover Progress in Industrial Mathematics at ECMI 2018

Part of the book series: Mathematics in Industry ((TECMI,volume 30))

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Abstract

We derive a quantum model that provides some corrections to the classical motion of nearly localized particles. Our method is based on the assumption that the particle wave function is strongly localized and represented by a Gaussian shape. As an application of our method, we describe the motion of a particle in a 2D non harmonic potential.

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Acknowledgements

This work was supported by National Group of Mathematical Physics (GNFM-INdAM).

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Authors and Affiliations

  1. University of Florence, Florence, Italy

    Omar Morandi

Authors
  1. Omar Morandi
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Correspondence to Omar Morandi .

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Editors and Affiliations

  1. Department of Applied Analysis and Computational Mathematics & ELTE-MTA Numnet Research Group, Eötvös Loránd University, Budapest, Hungary; Department of Differential Equations Mathematical Institute, Budapest University of Technology and Economics, Budapest, Hungary

    István Faragó

  2. Department of Applied Analysis and Computational Mathematics & ELTE-MTA Numnet Research Group, Eötvös Loránd University, Budapest, Hungary

    Ferenc Izsák

  3. Department of Applied Analysis and Computational Mathematics & ELTE-MTA Numnet Research Group, Eötvös Loránd University, Budapest, Hungary

    Péter L. Simon

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Morandi, O. (2019). Extended Gaussian Approximation for Modeling the Quantum Dynamics of Localized Particles. In: Faragó, I., Izsák, F., Simon, P. (eds) Progress in Industrial Mathematics at ECMI 2018. Mathematics in Industry(), vol 30. Springer, Cham. https://doi.org/10.1007/978-3-030-27550-1_14

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