Abstract
Within the Bogoliubov-Zubarev formalism we develop a graphical perturbation theory of a Bose fluid for finite temperatures. We derive the quasiparticle lifetime and a Boltzmann equation for excitations, restricting ourselves to lowest order perturbation theory. All results are expressed in terms of the parameterλ 2, occuring in the Bogoliubov-Zubarev formalism, which in lowest order is equal to the liquid structure factor at zero temperature.
Similar content being viewed by others
References
Bogoliubov, N.N., Zubarev, D.N.: JETP (USSR)28, 129 (1955), Sov. Phys. JETP1, 83 (1955)
Rajagopal, A.K., Grest, G.S.: Phys. Rev. A10, 1837 (1974)
Grest, G.S., Rajagopal, A.K.: Phys. Rev. A10, 1395 (1974)
Carballo, J.A., Ruvalds, J.: Phys. Rev. B11, 4278 (1975)
Sunakawa, S., Yamasaki, S., Kebukawa, T.: Progr. Theor. Phys.41, 919 (1969)
Kebukawa, T., Yamasaki, S., Sunakawa, S.: Progr. Theor. Phys.44, 565 (1970)
For a review of the experimental results see Woods, A.D.B., Cowley, R.A.: Rep. Progr. Phys.36, 1135 (1973)
Grest, G.S.: Phys. Rev. B11, 4730 (1975)
Schwartz, M.: Phys. Rev. A10, 1858 (1974)
Holstein, T.: Ann. Phys. (N.Y.)29, 410 (1964)
Sham, L.J.: Phys. Rev.156, 494 (1967)
Ma, S.-K.: J. Math. Phys.12, 2157 (1971)
Bogoliubov, N.N.: J. Phys. (USSR)11, 23 (1947)
Beliaev, S.T.: Sov. Phys. JETP7, 299 (1958)
Nelkin, M.: Phys. Rev.127, 979 (1962)
Wong, K., Gould, H.: Ann. Phys. (N.Y.)83, 252 (1974)
Khalatnikov, I.M.: An Introduction to the Theory of Superfluidity, pp. 113–119. New York: Benjamin 1965
Khalatnikov, I.M., Chernikova, D.M.: JETP (USSR)49, 1957 (1965), Sov. Phys. JETP22, 1336 (1966)
Landau, L.: J. Phys. (USSR)5, 71 (1941)
Maris, H.J.: Phys. Rev. A7, 2047 (1973). A8, 1980 (1973), A8, 2629 (1973), A9, 1412 (1974)
Meier, P.F., Beck, H.: Phys. Rev. A8, 569 (1973)
Meier, P.F., Beck, H., Beck, R.: Phys. Rev. B12, 3745 (1975)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Sommers, HJ. Interacting excitations in a Bose fluid. Z Physik B 26, 299–305 (1977). https://doi.org/10.1007/BF01570739
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01570739