Abstract
The hyper-netted-chain theory is applied to the study of strongly interacting Bose and Fermi systems described by the shadow-correlated wave functions. A new class of shadow wave functions is also proposed which, in spite of their greater generality, requires a much simpler HNC scheme to compute distribution functions, density matrices and the energy expectation value. Moreover, HNC-theory allows for a full optimization of the correlations functions, particularly in the case of this new class of extended shadow wavefunctions. Possible applications of the shadow wave functions to the study of the Fractional Quantum Hall effect are also discussed.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
K. Schmidt, M.H. Kalos, M.A. Lee, G.V. Chester: Phys. Rev. Lett. 45, 573 (1980); Phys. Rev. Lett. 47, 807 (1981).
Q.N. Usmani, S. Fantoni, V.R. Pandharipande: Phys. Rev. B 26, 6123 (1982).
E. Manousakis, S. Fantoni, V.R. Pandharipande, Q.N. Usmani: Phys. Rev. B 28, 3770 (1983); M. Viviani, E. Buendia, S. Fantoni, S. Rosati: Phys. Rev. B 38, 4523 (1988).
M.H. Kalos, M.A. Lee, P.A. Whitlock, G.V. Chester: Phys. Rev. B 24, 115 (1981).
M.A. Lee, K.E. Schmidt, M.H. Kalos: Phys. Rev. Lett. 46, 728 (1981).
S. Vitiello, K. Runge, M.H. Kalos: Phys. Rev. Lett. 60, 1970 (1988).
L. Reatto, C.L. Masserini: Phys. Rev. B 38, 4516 (1988).
L. Reatto, contribution to this volume.
O. Gunnarson, B.I. Lundqvist: Phys. Rev. B 13, 4274 (1976).
S.A. Vitiello, K.J. Runge, G.V. Chester, M.H. Kalos: Phys. Rev. B 42, 228 (1990).
X. Q. Wang, S. Fantoni, E. Tosatti, L. Yu and M. Viviani: Phys. Rev. B 41, 11479 (1990).
L.J. Lantto, P.J. Siemens: Phys. Lett. B 68, 308 (1977).
S.M. Girvin: Phys. Rev. B 29, 6012 (1984).
A.H. MacDonald, G.C. Aers, M.W.G. Dharma-wardana: Phys. Rev. B 31, 5529 (1985); A.H. Mac Donald, D.B. Murray: Phys. Rev. B 32, 2707 (1985).
J. W. Clark: in Progress in Particle and Nuclear Physics, edited by D. H. Wilkinson (Pergamon, Oxford, 1979), Vol 2.
A. Fabrocini and S. Fantoni: in First International Course on Condensed Matter, edited by D. Prosperi, S. Rosati and G. Violini (World Scientific, Singapore, 1986), ACIF series, Vol. 8.
J. P. Hansen, I. R. McDonald: Theory of Simple Liquids (2nd Ed., Academic Press, London, 1986).
A. Fabrocini, A. PoUs: Phys. Rev. B 25, 4533 (1982); Phys. Rev. B 30, 1200 (1984).
S. Fantoni, S. Rosati: Phys. Lett. B 84, 23 (1979).
F. Lado: Mol. Phys. 72, 1387 (1991).
J.P. Hansen, G. Zerah: J. Chem. Phys. 84, 2336 (1986).
Y. Rosenfeld, N.W. Ashcroft: Phys. Rev. A 20, 1208 (1979).
F. Lado: Phys. Rev. A 8, 2548 (1973).
S. Ichimaru, H. Iyetomi: Phys. Rev. A 27, 3241 (1983).
P. Ballone, G. Pastore, M. P. Tosi: J. Chem. Phys. 81, 3174 (1984).
A. Ferrante, private communication.
B.I. Halperin: Phys. Rev. Lett. 52, 1583, 2390 (1984).
R.B. Laughlin: Surf. Sci. 141, 11 (1984).
F.M.D. Haldane: Phys. Rev. Lett. 51, 605 (1983).
R.B. Laughlin: Phys. Rev. Lett. 50, 1395 (1983).
F. Lado: Phys. Rev. B 17, 2827 (1978).
M. Bernasconi, private communication.
B. Blok, X.G. Wen: Phys. Rev. B 43, 8337 (1991).
C.D. Chen, E. Tosatti: Physica A 172, 336 (1991); G. Fano, F. Ortolani, E. Tosatti: IVuovo Cimento 9, 1337 (1987).
M. Greiter, X.G. Wen, F. Wilczek: Phys. Rev. Lett. 66, 3205 (1991).
S. Fantoni, S. Rosati: Nucl. Phys. A 328, 478 (1979).
E. Krotscheck: Nucl. Phys. A 465, 461 (1987).
G.P. Co’ et al., SISSA preprint (1991).
E. Krotscheck, G.X. Qian, W. Kohn: Phys. Rev. B 31, 4267 (1985); Phys. Rev. B 32, 5693 (1985).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1992 Springer Science+Business Media New York
About this chapter
Cite this chapter
Ferrante, A., Bernasconi, M., Wang, X.Q.G., Fantoni, S., Tosatti, E. (1992). HNC Theory for Shadow Wave Functions. In: Ainsworth, T.L., Campbell, C.E., Clements, B.E., Krotscheck, E. (eds) Recent Progress in Many-Body Theories. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3466-2_16
Download citation
DOI: https://doi.org/10.1007/978-1-4615-3466-2_16
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-6535-8
Online ISBN: 978-1-4615-3466-2
eBook Packages: Springer Book Archive