Comments on the Bose condensation of phonons in the biological systems

✍ Scribed by R. Chatterjee; J. A. Tuszyński; R. Paul

• Publisher: John Wiley and Sons
• Year: 1983
• Tongue: English
• Weight: 184 KB
• Volume: 23
• Category: Article
• ISSN: 0020-7608
• DOI: 10.1002/qua.560230239

✦ Synopsis

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.