Abstract
A quasiparticle Hamiltonian for liquid He3 is derived from matrix elements computed in the correlated representation using realistic He-He interactions. We outline here a prescription for systematically evaluating the irreducible self-energy parts and vertex parts of Green's functions defined in this representation. These quantities lead directly to a determination of ground state and Fermi liquid properties. Earlier work using the same matrix elements has led to numerical results in good quantitative agreement with experiment. The present reformulation serves to clarify its contents and indicate directions for improvement.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
K. A. Brueckner and J. L. Gammel,Phys. Rev. 109, 1040 (1958).
E. Ostgaard,Phys. Rev. 170, 257 (1968);171, 248 (1968);176, 351 (1968); and180, 263 (1969).
F. Y. Wu and E. Feenberg,Phys. Rev. 128, 943 (1962).
E. Feenberg and C-W. Woo,Phys. Rev. 137, A391 (1965).
C-W. Woo,Phys. Rev. 151, 138 (1966).
H-T. Tan and E. Feenberg,Phys. Rev. 176, 370 (1968).
L. D. Landau,Soviet Phys.—JETP 8, 70 (1959); A. A. Abrikosov, L. P. Gorkov, and I. E. Dzyaloshinski,Methods of Quantum Field Theory in Statistical Physics (Prentice Hall, 1963), Chaps. 2 and 4. Our notations follow closely those employed in this book.
Author information
Authors and Affiliations
Additional information
Work supported in part by the U.S. Atomic Energy Commission under contract No. AT(11-1)1569, by the National Science Foundation through a grant No. GP-11054, and by the advanced Research Projects Agency through the Materials Research Center of Northwestern University.
Rights and permissions
About this article
Cite this article
Tan, HT., Woo, CW. Quasiparticle Hamiltonian for liquid He3 . J Low Temp Phys 2, 187–193 (1970). https://doi.org/10.1007/BF00628175
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00628175