{"arxiv_id":"quant-ph/0602203","incoming":{"papers":2,"sentences":3,"groups":[{"kind":"method_or_tool","label":"Uses its method or tool","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2002.12825","title":"Riemann Hypothesis, Modified Morse Potential and Supersymmetric Quantum Mechanics","url":"/paper/2002.12825","section":"Shannon information inequality","sentence":"Using the definition for the Shannon information entropies in position and momentum basis [ref] [ref] [ref] : [equation] [equation] these satisfy the inequality: [equation] In table 3 we calculate then quantities for the six potentials.","intent_p":0.84,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1009.0289","title":"Direct spreading measures of Laguerre polynomials","url":"/paper/1009.0289","section":"Introduction","sentence":"The Laguerre polynomials are known to play a crucial role not only in applied and computational mathematics [ref] , mathematical physics [ref] , combinatorics [ref] , information theory [ref] , quantum algebras [ref] , asymptotics [ref] and theory of special functions [ref] , but also in non-relativisitic, relativistic and supersymmetric quantum mechanics [ref] , atomic and molecular physics [ref] and D-dimensional physics [ref] .","intent_p":0.87,"contests_p":null}]}],"unlabelled_sentences":1},"outgoing":{"papers":0,"sentences":0,"groups":[],"unlabelled_sentences":0},"claims":[],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. Pith's classifier typed each sentence. A label is shown at intent probability 0.8 or more (0.95 for support), a contest at 0.7 or more. Measured accuracy against two blind model families is at https://pith.science/accuracy. The quoted sentences are the citing authors' own.","held_up":null,"_links":{"html":"https://pith.science/paper/quant-ph/0602203"}}