Abstract
The Bohm-Pines method for the collective description of the Coulomb interactions in a dense electron gas has been generalized to calculate the ground state energy of liquid3He in its normal phase. The present calculation is based on the picture where one visualizes liquid3He as an interacting system of two fields corresponding to the helium atoms and the quanta of its zero-sound mode. This gives a value of −2.55 K for the average binding energy per particle, which is found to be in excellent agreement with the experimental result −2.47±0.01 K. The present theory gives rise to a value of 1.41 Å−1 for the critical wave vector kc up to which the zero-sound modes exist as well-defined collective excitations of the system. This matches extremely well with the experimental result obtained by Sköldet al.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
L. D. Landau,Zh. Eksp. Teor. Fiz. 32, 59 (1957) [Sov. Phys.-JETP5, 101 (1957)].
S. Babu and G. E. Brown,Ann. Phys. (N.Y.)78, 1 (1973); A. J. Legget,Rev. Mod. Phys. 47, 330 (1975); C. Pethick and G. Baym,The Physics of Liquid and Solid Helium, K. H. W. F. Brinkman, inThe Helium Liquids, J. G. M. Armitage and I. E. Farquhar, eds. (Academic Press, New York, 1975).
K. A. Bruckner and J. A. Gammel,Phys. Rev. 109, 1040 (1958).
E. Feenberg,Theory of Quantum Fields (Academic Press, New York, 1969).
E. Krotscheck and R. A. Smith,Phys. Rev. B 27, 4222 (1983); E. Manousakis, S. Fantoni, V. R. Pandharipande, and Q. N. Usmani,Phys. Rev. B 28, 3770 (1983).
M. A. Lee, K. E. Schmidt, and M. H. Klos,Phys. Rev. Lett. 46, 728 (1981).
T. R. Roberts, R. H. Sherman, and S. G. Sydoriak,J. Res. Natl. Bur. Stand. (U.S.) A 68, 567 (1964).
I. M. Khalatnikov and A. A. Abrikosov,Zh. Eksp. Teor. Fiz 33, 100 (1957) [Sov. Phys. JETP6, 84 (1958)].
K. Sköld, C. A. Pelizzari, R. Kleb, and G. E. Ostrowski,Phys. Rev. Lett. 37, 842 (1976); W. G. Stirling, R. Sherm, P. A. Hilton, and R. A. Cowley,J. Phys. C,9, 1643 (1976); P. A. Hilton, R. A. Cowley, W. G. Stirling, and R. Sherm,Z. Phys. B 30, 107 (1978); K. Sköld and C. A. Pelizzari,J. Phys. C.,11, L589 (1978); P. A. Hilton, R. A. Cowley, R. Scherm, and W. G. Sterling,J. Phys. C,13, L295 (1980).
D. Bohm and D. Pines,Phys. Rev. 92, 609, 626 (1953).
L. K. Misra and D. N. Tripathy,Phys. Stat. Sol. (b)140, 477 (1987).
D. Pines,Elementary Excitation in Solids, (W. A. Benjamin, New York, 1964).
D. Pines,The Theory of Quantum Liquids I (W. A. Benjamin, New York, 1966).
A. L. Fetter and J. D. Walecka,Quantum Theory of Many Particle System (McGraw Hill, New York, 1971).
D. Pines,Proceedings of the International School of Physics “Enrico Fermi,” Varenna, Italy (North-Holland, Amsterdam, 1983); D. Vollhardt,Rev. Mod. Phys. 56, 99 (1984).
G. D. Mahan,Many Particle Physics (Plenum Press, New York, 1983).
N. F. Berk and J. R. Schrieffer,Phys. Rev. Lett. 17, 433 (1966); S. Doniach and S. Engelsberg,Phys. Rev. Lett. 17, 750 (1966).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Mishra, L.K., Tripathy, D.N. Application of the collective description method of interparticle interactions in normal liquid3He. J Low Temp Phys 75, 79–89 (1989). https://doi.org/10.1007/BF00688747
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00688747