Pith Number

pith:TWHUXGQG

pith:2026:TWHUXGQGGLZ7L4NJZMSQIXYWO3

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Testing $(q)$-Deformed Dunkl-Fokker-Planck Equation Algebra with Supersymmetry (SUSY) and Foldy-Wouthuysen (FW) Measurement

Abdelmalek Bouzenada

The (q)-deformed Dunkl-Fokker-Planck equation is extended to a relativistic supersymmetric framework in 1+1 dimensions using reflection symmetry and a generalized Foldy-Wouthuysen transformation.

arxiv:2605.13938 v1 · 2026-05-13 · hep-th

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\usepackage{pith}
\pithnumber{TWHUXGQGGLZ7L4NJZMSQIXYWO3}

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Claims

C1strongest claim

The analysis extends to the harmonic oscillator with centrifugal interaction, where exact algebraic solutions, similarity reduction techniques, and closed energy spectra are obtained analytically in detail.

C2weakest assumption

That the q-deformed Dunkl operators together with reflection symmetry can be consistently extended to a relativistic supersymmetric framework in 1+1 dimensions while preserving algebraic closure and yielding well-defined spectra without introducing inconsistencies.

C3one line summary

A relativistic q-deformed Dunkl-Fokker-Planck equation is formulated with supersymmetry and reflection symmetry, yielding exact algebraic solutions for the harmonic oscillator and an effective Hamiltonian after Foldy-Wouthuysen reduction.

References

136 extracted · 136 resolved · 0 Pith anchors

[1] Greiner,Quantum mechanics: an introduction, Springer Science (2011) 2011

[2] A. Einstein, Ann. Phys.,49(7), 769-822 (1916) 1916

[3] C. Rovelli, Living. Rev. Relativ.,11, 1-69 (2008) 2008

[4] O. Klein, Z. Physik37, 895-906 (1926) 1926

[5] P. A. M. Dirac, Proc R Soc London, Ser A,117(778), 610-624 (1928) 1928

Formal links

1 machine-checked theorem link

Receipt and verification

First computed	2026-05-17T23:39:13.899438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d8f4b9a0632f3f5f1a9cb25045f1676efe54f1f42d353e4a8a1d3d9bac1193e

Aliases

arxiv: 2605.13938 · arxiv_version: 2605.13938v1 · doi: 10.48550/arxiv.2605.13938 · pith_short_12: TWHUXGQGGLZ7 · pith_short_16: TWHUXGQGGLZ7L4NJ · pith_short_8: TWHUXGQG

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TWHUXGQGGLZ7L4NJZMSQIXYWO3 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9d8f4b9a0632f3f5f1a9cb25045f1676efe54f1f42d353e4a8a1d3d9bac1193e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "204834f4b99a052d8e7e1c15e74f17e29a8fd551a8d1462d4a8bd5fa410dca06",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-05-13T16:33:11Z",
    "title_canon_sha256": "b5795d17424d780db69ca222c087d9d6be2a06226579c31fca3c7868856b8fc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13938",
    "kind": "arxiv",
    "version": 1
  }
}