{"paper":{"title":"Symmetries of the pseudo-diffusion equation, and its unconventional 2-sided kernel","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"David McAnally, Dongsheng Liu, Faruk Gungor, Jamil Daboul","submitted_at":"2015-10-29T11:04:19Z","abstract_excerpt":"We determine by two related methods the invariance algebra $\\g$ of the \\emph{`pseudo-diffusion equation'} (PSDE) $$ L~Q \\equiv \\left[\\frac {\\partial}{\\partial t} -\\frac 1 4 \\left(\\frac {\\partial^2}{\\partial x^2} -\\frac 1 {t^2} \\frac {\\partial^2}{\\partial p^2}\\right)\\right]~Q(x,p,t)=0, $$ which describes the behavior of the $Q$ functions in the $(x,p)$-phase space as a function of a squeeze parameter $y$, where $t=e^{2y}$. The algebra turns out to be isomorphic to that of its constant coefficient version. Relying on this isomorphism we construct a local point transformation which maps the facto"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.08643","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}