Complex energies and the Lambert function View Full Text


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Article Info

DATE

2022-06-23

AUTHORS

A. Das, B. G. Sidharth, K. Roberts, S. R. Valluri

ABSTRACT

We apply the Lambert \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$W$$\end{document} 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. More... »

PAGES

817-825

References to SciGraph publications

  • 1978-09. Complex energy eigenstates in quantum decay models in IL NUOVO CIMENTO A (1971-1996)
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  • 2018-04-12. Fractional conductivity in 2D and 3D crystals in THE EUROPEAN PHYSICAL JOURNAL PLUS
  • 1996-12. On the LambertW function in ADVANCES IN COMPUTATIONAL MATHEMATICS
  • 2017-05-18. Effect of noncommutativity of space-time on Zitterbewegung in THE EUROPEAN PHYSICAL JOURNAL PLUS
  • 2017-05-20. The Curie–Weiss model with Complex Temperature: Phase Transitions in JOURNAL OF STATISTICAL PHYSICS
  • 2015-02-03. Cosmic Background Radiation in INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • 1999-05. Anomalous Fermions in JOURNAL OF STATISTICAL PHYSICS
  • 2016-07. Extra-relativistic effects and the Chandrasekhar limit in GRAVITATION AND COSMOLOGY
  • 2021-08-01. Structural properties of generalised Planck distributions in JOURNAL OF STATISTICAL DISTRIBUTIONS AND APPLICATIONS
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    http://scigraph.springernature.com/pub.10.1134/s0040577922060046

    DOI

    http://dx.doi.org/10.1134/s0040577922060046

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