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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
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
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
Linking options:
https://www.mathnet.ru/eng/tmf10231https://doi.org/10.4213/tmf10231 https://www.mathnet.ru/eng/tmf/v211/i3/p444
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Abstract page: | 219 | Full-text PDF : | 27 | References: | 53 | First page: | 13 |
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