Abstract
Fröhlich's model of Bose-Einstein condensation in biological systems is analyzed using finite temperature Green's function techniques. The thermal average of the rate of change of vibrational mode quanta in the biological system is calculated and compared with Fröhlich's postulated rate equations. The appropriate phonon lifetime is also calculated and represents the minimum time needed to produce the condensed phase. The possible importance of this lifetime and its relation to recent microwave absorption experiments is discussed.
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References
Bhaumik, D.; Bhaumik, K.; Dutta-Roy, B. 1976a. Phys. Lett.56A, 145.
Bhaumik, D.; Bhaumik, K.; Dutta-Roy, B. 1976b. Phys. Lett.59A, 77.
Bhaumik, D.; Bhaumik, K.; Dutta-Roy, B.; Engineer, M. 1977. Phys. Lett.62A, 197.
Fetter, A.; Walecka, J. D. 1971. QUANTUM THEORY OF MANY-PARTICLE SYSTEMS. McGraw-Hill.
Fröhlich, H. 1968a Phys. Lett.26A, 402.
Fröhlich, H. 1968b. Int. J. Quant. Chem.2, 641.
Fröhlich, H. 1970. Nature228, 1093.
Fröhlich, H. 1972. Phys. Lett.39A, 153.
Fröhlich, H. 1975. Phys. Lett.51A, 21.
Fröhlich, H. 1977. Riv. Nuovo Cim.7, 399.
Grundler, W.; Keilmann, F.; Fröhlich, H. 1977. Phys. Lett.62A, 463.
Grundler, W.; Keilmann, F. 1978. Z. Naturforsch.33C, 15.
Kaiser, F. 1979. Z. Naturforsch.34A, 134.
Mills, R. 1979. Phys. Lett.74A, 278.
Sevastyanova, L. A.; Vilenskaya, R. L. 1974. Sov. Phys. USPEKHI16, 570.
Smolyanskaya, A. Z.; Vilenskaya, R. L. 1974. Sov. Phys. USPEKHI16, 571.
Webb, S. J.; Stoneham, M. E. 1977a. Phys. Lett.60A, 267.
Webb, S. J.; Stoneham, M. E.; Fröhlich, H. 1977b. Phys. Lett.63A, 407.
Webb, S. J. 1979. Phys. Lett.73A, 145.
Wu, T. M.; Austin, S. 1977. Phys. Lett.64A, 151.
Wu, T. M.; Austin, S. 1978a. Phys. Lett.65A, 74.
Wu, T. M.; Austin, S. 1978b. J. Theor. Biol.71, 209.
Wu, T. M.; Austin, S. 1979. Phys. Lett.73A, 266.
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Wu, T.M., Austin, S.J. Fröhlich's model of bose condensation in biological systems. J Biol Phys 9, 97–107 (1981). https://doi.org/10.1007/BF01987286
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DOI: https://doi.org/10.1007/BF01987286