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Comments on the Bose condensation of phonons in the biological systems
Author(s) -
Chatterjee R.,
Tuszyński J. A.,
Paul R.
Publication year - 1983
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560230239
Subject(s) - hamiltonian (control theory) , phonon , dielectric , condensation , conjecture , inverse , canonical transformation , relaxation (psychology) , chemistry , inverse temperature , condensed matter physics , physics , mathematical physics , quantum mechanics , thermodynamics , mathematics , combinatorics , quantum , psychology , mathematical optimization , social psychology , geometry
Abstract Following the conjecture of Fröhlich that the Bose condensation of phonons is the dominant biological effect, Wu and Austin derived from the Fröhlich Hamiltonian an expression for the relaxation time which is inversely proportional to the temperature by using the technique of Green's function. In this paper, we have generalized the Wu and Austin expression by improving their approximations with the superconducting canonical transformation and obtained the relaxation time depending exponentially on the inverse temperature. Moreover, we have checked our expression by using a different method based on the “continued fraction expansion” and also employed this technique to derive the dielectric constant for this system.