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Plastino, Constantino Tsallis","submitted_at":"2012-05-28T11:53:37Z","abstract_excerpt":"We consider a recently proposed nonlinear Schroedinger equation exhibiting soliton-like solutions of the power-law form $e_q^{i(kx-wt)}$, involving the $q$-exponential function which naturally emerges within nonextensive thermostatistics [$e_q^z \\equiv [1+(1-q)z]^{1/(1-q)}$, with $e_1^z=e^z$]. Since these basic solutions behave like free particles, obeying $p=\\hbar k$, $E=\\hbar \\omega$ and $E=p^2/2m$ ($1 \\le q<2$), it is relevant to investigate how they change under the effect of uniform acceleration, thus providing the first steps towards the application of the aforementioned nonlinear equati"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1205.6084","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-05-28T11:53:37Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"29159b4b82e953907ee755e4778856e8e0aa21aaa906a2343638110e835c628c","abstract_canon_sha256":"d028a6a4a0d4ee6837b2f4a315e9f20febd07babd72c77a6d76e0914bf6acf7a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:57:16.625293Z","signature_b64":"NybBDeEqcrjmNZWsg6IsJx7o0F10lcc9wGQG7fJ+OstkShktqZzh6w0BIVeL/6HhlSs9ZtwmMst/Y3Xcj+ncBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"61cbaea32ab290313181e498ffef48212c16946310f6a147d890eda9540c5f36","last_reissued_at":"2026-05-18T01:57:16.624842Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:57:16.624842Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonlinear Schroedinger Equation in the Presence of Uniform Acceleration","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"cond-mat.stat-mech","authors_text":"Angel R. 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