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Systems of One or More Particles

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Hyperspherical Harmonics Expansion Techniques

Part of the book series: Theoretical and Mathematical Physics ((TMP))

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Abstract

A particle moving in an external field is an example of one-body system. The Schrödinger equation reduces to a single differential equation for central potential. The relative motion of a two-body system with mutual potential reduces to one-body Schrödinger equation. Symmetry of the wave function for identical particles is discussed. In this connection, spin and isospin and wave functions involving them are introduced. Next many-body wave equation is written down and the need for approximations and models stressed. Mean-field approximation and independent particle model are introduced.

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Authors and Affiliations

  1. Department of Physics, University of Calcutta, Kolkata, West Bengal, India

    Tapan Kumar Das

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  1. Tapan Kumar Das
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Correspondence to Tapan Kumar Das .

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Das, T.K. (2016). Systems of One or More Particles. In: Hyperspherical Harmonics Expansion Techniques. Theoretical and Mathematical Physics. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2361-0_2

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  • DOI: https://doi.org/10.1007/978-81-322-2361-0_2

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  • Publisher Name: Springer, New Delhi

  • Print ISBN: 978-81-322-2360-3

  • Online ISBN: 978-81-322-2361-0

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