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Quantisation of the damped free particle

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Abstract

In this work, a classical non-conservative system is quantised via canonical quantisation. A systematic approach as to how to obtain the Schrödinger equation for a general dissipative system is proposed. The free particle under linear and cubic dissipation are canonically quantised to obtain wave functions, position–momentum uncertainty relations, average energies and probability densities in each case. The method used is general and can be employed to all dissipative systems.

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Authors and Affiliations

  1. Department of Physics, Birla Institute of Technology and Science, Pilani, Hyderabad Campus, Hyderabad, 500 078, India

    Ronit Mahapatra & Asrarul Haque

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  1. Ronit Mahapatra
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  2. Asrarul Haque
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Correspondence to Asrarul Haque.

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Mahapatra, R., Haque, A. Quantisation of the damped free particle. Pramana - J Phys 97, 166 (2023). https://doi.org/10.1007/s12043-023-02646-6

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  • DOI: https://doi.org/10.1007/s12043-023-02646-6

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