The Ground State Energy of a Dilute Bose Gas

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dc.creatorLieb, Elliott H.
dc.creatorYngvason, Jakob
dc.date1999-10-20
dc.date2000-08-20
dc.date.accessioned2026-07-07T04:33:01Z
dc.date.available2026-07-07T04:33:01Z
dc.descriptionAccording to a formula that was put forward many decades ago the ground state energy per particle of an interacting, dilute Bose gas at density $ρ$ is $2π\hbar^2ρa/m$ to leading order in $ρa^3\ll 1$, where $a$ is the scattering length of the interaction potential and $m$ the particle mass. This result, which is important for the theoretical description of current experiments on Bose-Einstein condensation, has recently been established rigorously for the first time. We give here an account of the proof that applies to nonnegative, spherically symmetric potentials decreasing faster than $1/r^3$ at infinity.
dc.descriptionA few corrections to Eqs. 3.21 and 3.33--3.36 in the printed version have been made
dc.identifierhttps://arxiv.org/abs/math-ph/9910033
dc.identifierhttp://arxiv.org/abs/math-ph/9910033
dc.identifierPublished in {\it Differential Equations and Mathematical Physics, University of Alabama, Birmingham, 1999}, R. Weikard and G. Weinstein, eds., 271-282 Amer. Math. Soc./Internat. Press (2000). eds., 271-282 Amer. Math. Soc./Internat. Press (2000)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58416
dc.subjectMathematical Physics
dc.subjectCondensed Matter
dc.subject81V70, 35Q55, 46N50
dc.titleThe Ground State Energy of a Dilute Bose Gas
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