Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 267-04. A density-uniform condensate bound for dilute Bose gases
Manuscript map · lines 7815–7824
OpenAI@2026-10-07#rem:oai-p-267-04
Authors: OpenAI. Family 267.
Title: A density-uniform condensate bound for dilute Bose gases.
Abstract: For each fixed bounded measurable, nonnegative, radial interaction of finite range in three dimensions that is not zero almost everywhere, we prove a positive lower bound on the constant-orbital condensate fraction that is uniform over all sufficiently small densities and all temperatures between zero and the square of the density. The interaction and density remain fixed in the thermodynamic limit.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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