Physics and Astronomy Publications

Document Type

Article

Publication Date

6-23-2022

Journal

Theoretical and Mathematical Physics

Volume

211

First Page

817

Last Page

825

URL with Digital Object Identifier

https://doi.org/10.1134/S0040577922060046

Abstract

We apply the Lambert W function in the context of complex energy values in statistical systems of fermions and bosons. We derive the condition for the transformation connecting fermions and bosons. We discuss the physical significance of these results and investigate the conditions under which bosonization effects take place. The fermion and boson statistical and structural distributions discussed in this work suggest the possibility of their extensions to generalized Planck distributions.

Notes

This is the authors' accepted manuscript version of a paper published in Theoretical and Mathematical Physics, available at https://doi.org/10.1134/S0040577922060046

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