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Teoreticheskaya i Matematicheskaya Fizika, 2022, Volume 211, Number 3, Pages 444–454
DOI: https://doi.org/10.4213/tmf10231 (Mi tmf10231) 		 
Complex energies and the Lambert $W$ function

A. Dasa, B. G. Sidhartha, K. Robertsb, S. R. Valluribc

a B. M. Birla Science Centre, Adarsh Nagar, Hyderabad, India
b Department of Physics and Astronomy, University of Western Ontario, London, Canada
c King's University College (University of Western Ontario), London, Canada
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DOI: https://doi.org/10.4213/tmf10231
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.
Keywords: Lambert $W$ function, complex energies.
Received: 15.12.2021
Revised: 27.02.2022
English version:
Theoretical and Mathematical Physics, 2022, Volume 211, Issue 3, Pages 817–825
DOI: https://doi.org/10.1134/S0040577922060046
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. Das, B. G. Sidharth, K. Roberts, S. R. Valluri, “Complex energies and the Lambert $W$ function”, TMF, 211:3 (2022), 444–454; Theoret. and Math. Phys., 211:3 (2022), 817–825
Citation in format AMSBIB
\Bibitem{DasSidRob22}
\by A.~Das, B.~G.~Sidharth, K.~Roberts, S.~R.~Valluri
\paper Complex energies and the~Lambert $W$ function
\jour TMF
\yr 2022
\vol 211
\issue 3
\pages 444--454
\mathnet{http://mi.mathnet.ru/tmf10231}
\crossref{https://doi.org/10.4213/tmf10231}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4461535}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2022TMP...211..817D}
\transl
\jour Theoret. and Math. Phys.
\yr 2022
\vol 211
\issue 3
\pages 817--825
\crossref{https://doi.org/10.1134/S0040577922060046}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85132700245}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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