00 3 GROUND STATE ENERGY OF THE TWO-COMPONENT CHARGED BOSE GAS

@inproceedings{SolovejyDepartments2000003G,
  title={00 3 GROUND STATE ENERGY OF THE TWO-COMPONENT CHARGED BOSE GAS},
  author={Jan Philip SolovejyDepartments},
  year={2000}
}
  • Jan Philip SolovejyDepartments
  • Published 2000
We continue the study of the two-component charged Bose gas initiated by Dyson in 1967. He showed that the ground state energy for N particles is at least as negative as −CN7/5 for large N and this power law was verified by a lower bound found by Conlon, Lieb and Yau in 1988. Dyson conjectured that the exact constant C was given by a mean-field minimization problem that used, as input, Foldy’s calculation (using Bogolubov’s 1947 formalism) for the onecomponent gas. Earlier we showed that Foldy… CONTINUE READING

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
Showing 1-8 of 8 references

Benguria, The Lane-Emden equation revisited, Advances in differential equations and mathematical physics (Birmingham, AL

R. D. Be
Contemp. Math., • 2002

Solovej, Ground State Energy of the One-Component Charged Bose Gas

J.P.E.H. Lieb
Commun. Math. Phys • 2001

Shastry The XY model has long - range order for all spins andall dimensions greater than one

E. H. Lieb Kennedy
Helv . Phys . Acta • 1997

Uniqueness of positive solutions of ∆u−u+up = 0 in Rn, Arch

M. K. Kwong
Rational Mech. Anal • 1989

The N7/5 law for charged bosons

CLY J.G. Conlon, E. H. Lieb, H-T. Yau
Commun. Math. Phys. 116, • 1988

Serrin, Uniqueness of positive radial solutions of ∆u + f(u) = 0 in Rn, Arch

J. K. McLeod
Rational Mech. Anal. 99, • 1987

Ground-state energy of a finite system of charged particles

F. J. Dyson
J. Math. Phys • 1967

The Bose fluid in Lecture Notes in Theoretical Physics VIIC, edited by W.E

E. H. Lieb
Brittin, Univ. of Colorado Press 1964, • 1964