{"paper":{"title":"Fisher information for quasi-one-dimensional hydrogen atom","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Aparna Saha, Benoy Talukdar, Supriya Chatterjee","submitted_at":"2017-03-10T08:44:36Z","abstract_excerpt":"The coordinate-space wave function $\\psi(x)$ of quasi-one-dimensional atoms is defined in the $x\\geq 0$ region only. This poses a typical problem to write a physically acceptable momentum-space wave function $\\phi(p)$ from the Fourier transform of $\\psi(x)$. We resolve the problem with special attention to the behavior of real and imaginary parts of the complex-valued function $\\phi(p)$ as a function of $p$ and confirm that $\\phi_i(p)$ (the imaginary part of $\\phi(p)$) represents the correct momentum-space wave function. We make use of the results for $\\psi(x)$ and $\\phi_i(p)$ to express the p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.03578","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"}