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

arXivSeptember 14, 20261 min read

arXiv:2609.11984v1 Announce Type: cross 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.

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.

Statistical Mechanics (cond-mat.stat-mech); Strongly Correlated Electrons (cond-mat.str-el); Computational Physics (physics.comp-ph); Quantum Physics (quant-ph)

arXiv:2609.11984 [cond-mat.stat-mech]

(or arXiv:2609.11984v1 [cond-mat.stat-mech] for this version)

From: Riccardo Fantoni Dr. [view email] [v1] Mon, 7 Sep 2026 12:32:48 UTC (49 KB)

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