Diagonal Pair Coulomb Density Matrix on a Sphere: a numerical study

• URL: http://arxiv.org/abs/2609.11984v1
• Date: Mon, 07 Sep 2026 12:32:48 GMT
• Title: Diagonal Pair Coulomb Density Matrix on a Sphere: a numerical study
• Abstract summary: We show that even on a curved surface quantum statistical physics is fundamentally different from its classical counterpart.<n>If in the latter one needs to artificially introduce a regularization of the divergent Coulomb potential preventing particles contact, for example with a hard core, in the former this is not necessary.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We tabulate, on the diagonal, the $n$th power of the primitive approximation for the pair Coulomb density matrix on a sphere, with up to $n=5$, and we discuss its behavior at particles contact as $n$ grows. Our results show that even on a curved surface quantum statistical physics is fundamentally different from its classical counterpart. If in the latter one needs to artificially introduce a regularization of the divergent attractive Coulomb potential preventing particles contact, for example with a hard core, in the former this is not necessary.

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