Shape of the ground state energy density of Hill's equation with nice Gaussian potential

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dc.creatorRamirez, Jose A.
dc.creatorRider, Brian
dc.date2006-11-18
dc.date2006-12-02
dc.date.accessioned2026-07-07T07:33:05Z
dc.date.available2026-07-07T07:33:05Z
dc.descriptionConsider Hill's operator Q = -D^2 + q(x) in which the potential q(x) is an almost surely continuous and rotation invariant Gaussian process on the circle of perimeter one. Viewing the classical Riccati map as a change of measure, we establish functional integral formulas for the probability density function of the ground state energy and also determine the density's shape.
dc.description19 pages, revised intro
dc.identifierhttps://arxiv.org/abs/math/0611555
dc.identifierhttp://arxiv.org/abs/math/0611555
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119333
dc.subjectProbability
dc.subjectMathematical Physics
dc.titleShape of the ground state energy density of Hill's equation with nice Gaussian potential
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