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Partial-wave Scattering and Statistical Mechanics via the l-wave Non-local Separable Potential of Rank-two

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Abstract

The equilibrium statistical mechanics relations are shown to be related to T-matrix, which describes the scattering processes taking place in the thermodynamic system consisting of free particles and independent correlated pairs, interacting via the separable non-local potential of rank two in the ℓth partial wave. Thermodynamic properties are related to the correlated states, when making a pole expansion of the analytically continued momentum matrix element of R ℓ (z), the difference between the resolvents of the interacting and free Hamiltonians. It is shown that local potentials equivalent to the nonlocal ones have an attractive part which is responsible for a bound state and negative values of some thermodynamic properties.

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Authors and Affiliations

  1. Department of Physical Chemistry, School of Chemistry, University of Tabriz, Tabriz, Iran

    Nader Tahmasbi

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  1. Nader Tahmasbi
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Correspondence to Nader Tahmasbi.

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The author died when the manuscript was under editorial process. So his friend, Mahtab Gharibi (email: gharibi@tmu.ac.ir) pursued the publication.

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Tahmasbi, N. Partial-wave Scattering and Statistical Mechanics via the l-wave Non-local Separable Potential of Rank-two. J Stat Phys 136, 989–1003 (2009). https://doi.org/10.1007/s10955-009-9815-0

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  • DOI: https://doi.org/10.1007/s10955-009-9815-0

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