The ground state of the Bose gas

@inproceedings{Lieb2001TheGS,
  title={The ground state of the Bose gas},
  author={E. Lieb and R. Seiringer and J. P. Solovej and J. Yngvason},
  year={2001}
}
  • E. Lieb, R. Seiringer, +1 author J. Yngvason
  • Published 2001
  • Physics, Mathematics
  • Now that the low temperature properties of quantum-mechanical many-body systems (bosons) at low density, $\rho$, can be examined experimentally it is appropriate to revisit some of the formulas deduced by many authors 4-5 decades ago. For systems with repulsive (i.e. positive) interaction potentials the experimental low temperature state and the ground state are effectively synonymous -- and this fact is used in all modeling. In such cases, the leading term in the energy/particle is $2\pi\hbar… CONTINUE READING
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    References

    SHOWING 1-10 OF 54 REFERENCES
    The Bose Gas: A Subtle Many-Body Problem
    • 8
    • PDF
    Ground State Energy of the Low Density Bose Gas
    • 107
    • PDF
    The Ground State Energy of a Dilute Bose Gas
    • 10
    • PDF
    The Ground State Energy of a Dilute Two-Dimensional Bose Gas
    • 85
    • PDF
    Dilute Bose gas in two dimensions.
    • 182
    Dilute Bose gas in two dimensions: density expansions and the Gross-Pitaevskii equation.
    • A. Cherny, A. Shanenko
    • Physics, Mathematics
    • Physical review. E, Statistical, nonlinear, and soft matter physics
    • 2001
    • 26
    • PDF