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PreprintarXiv licencearXiv

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

  • Riccardo Fantoni
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Abstract

We tabulate, on the diagonal, the nth 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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Cite

BibTeXRIS
BibTeX
@misc{fantoni2026diagonal,
  title = {{Diagonal Pair Coulomb Density Matrix on a Sphere: a numerical study}},
  author = {Riccardo Fantoni},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.11984},
  eprint = {2609.11984},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.11984},
}
RIS
TY  - UNPB
TI  - Diagonal Pair Coulomb Density Matrix on a Sphere: a numerical study
AU  - Riccardo Fantoni
PY  - 2026
DA  - 2026/09/07
PB  - arXiv
DO  - 10.48550/arxiv.2609.11984
UR  - https://arxiv.org/abs/2609.11984
AB  - We tabulate, on the diagonal, the nth 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.
ER  -