{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,27]],"date-time":"2026-03-27T08:06:08Z","timestamp":1774598768157,"version":"3.50.1"},"reference-count":24,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2022,4,26]],"date-time":"2022-04-26T00:00:00Z","timestamp":1650931200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100003069","name":"Instituto Polit\u00e9cnico Nacional","doi-asserted-by":"publisher","award":["20220355"],"award-info":[{"award-number":["20220355"]}],"id":[{"id":"10.13039\/501100003069","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003069","name":"Instituto Polit\u00e9cnico Nacional","doi-asserted-by":"publisher","award":["20220865"],"award-info":[{"award-number":["20220865"]}],"id":[{"id":"10.13039\/501100003069","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>In this work, we study the quantum information entropies for two different types of hyperbolic single potential wells. We first study the behaviors of the moving particle subject to two different hyperbolic potential wells through focusing on their wave functions. The shapes of these hyperbolic potentials are similar, but we notice that their momentum entropy densities change along with the width of each potential and the magnitude of position entropy density decreases when the momentum entropy magnitude increases. On the other hand, we illustrate the behaviors of their position and momentum entropy densities. Finally, we show the variation of position and momentum entropies Sx and Sp with the change of the potential well depth u and verify that their sum still satisfies the BBM inequality relation.<\/jats:p>","DOI":"10.3390\/e24050604","type":"journal-article","created":{"date-parts":[[2022,4,26]],"date-time":"2022-04-26T11:45:55Z","timestamp":1650973555000},"page":"604","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":31,"title":["Quantum Information Entropies on Hyperbolic Single Potential Wells"],"prefix":"10.3390","volume":"24","author":[{"given":"Carlos Ariel","family":"Gil-Barrera","sequence":"first","affiliation":[{"name":"Centro de Investigaci\u00f3n en Computaci\u00f3n (CIC), Instituto Polit\u00e9cnico Nacional, UPALM, Ciudad de M\u00e9xico C.P. 07700, Mexico"}]},{"given":"Raymundo","family":"Santana Carrillo","sequence":"additional","affiliation":[{"name":"Centro de Investigaci\u00f3n en Computaci\u00f3n (CIC), Instituto Polit\u00e9cnico Nacional, UPALM, Ciudad de M\u00e9xico C.P. 07700, Mexico"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0689-2754","authenticated-orcid":false,"given":"Guo-Hua","family":"Sun","sequence":"additional","affiliation":[{"name":"Centro de Investigaci\u00f3n en Computaci\u00f3n (CIC), Instituto Polit\u00e9cnico Nacional, UPALM, Ciudad de M\u00e9xico C.P. 07700, Mexico"}]},{"given":"Shi-Hai","family":"Dong","sequence":"additional","affiliation":[{"name":"Research Center for Quantum Physics, Huzhou University, Huzhou 313000, China"},{"name":"Laboratorio de Informaci\u00f3n Cu\u00e1ntica, CIDETEC, Instituto Polit\u00e9cnico Nacional, UPALM, Ciudad de M\u00e9xico C.P. 07700, Mexico"}]}],"member":"1968","published-online":{"date-parts":[[2022,4,26]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"189","DOI":"10.1016\/S0377-0427(96)00156-2","article-title":"A finite-difference method for the numerical solution of the Schr\u00f6dinger equation","volume":"79","author":"Simos","year":"1997","journal-title":"J. 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