Geodesic
Complex energies and the~Lambert $W$ function
Teoretičeskaâ i matematičeskaâ fizika, Tome 211 (2022) no. 3, pp. 444-454

Voir la notice de l'article provenant de la source Math-Net.Ru

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
Mots-clés : complex energies. 
@article{TMF_2022_211_3_a3,
     author = {A. Das and B. G. Sidharth and K. Roberts and S. R. Valluri},
     title = {Complex energies and {the~Lambert} $W$ function},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {444--454},
     publisher = {mathdoc},
     volume = {211},
     number = {3},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2022_211_3_a3/}
}
TY  - JOUR
AU  - A. Das
AU  - B. G. Sidharth
AU  - K. Roberts
AU  - S. R. Valluri
TI  - Complex energies and the~Lambert $W$ function
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2022
SP  - 444
EP  - 454
VL  - 211
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2022_211_3_a3/
LA  - ru
ID  - TMF_2022_211_3_a3
ER  - 
%0 Journal Article
%A A. Das
%A B. G. Sidharth
%A K. Roberts
%A S. R. Valluri
%T Complex energies and the~Lambert $W$ function
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2022
%P 444-454
%V 211
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2022_211_3_a3/
%G ru
%F TMF_2022_211_3_a3
A. Das; B. G. Sidharth; K. Roberts; S. R. Valluri. Complex energies and the~Lambert $W$ function. Teoretičeskaâ i matematičeskaâ fizika, Tome 211 (2022) no. 3, pp. 444-454. http://geodesic.mathdoc.fr/item/TMF_2022_211_3_a3/