{"title":"非相对论谐振子的GUP隐含的广义动量","authors":"S. A. Khorram-Hosseini, S. Zarrinkamar, H. Panahi","doi":"10.1142/s0217751x23501294","DOIUrl":null,"url":null,"abstract":"We consider the Schrödinger equation with a generalized form of uncertainty principle and solve the problem up to a third-order correction to the arising equation. The particle in box and harmonic oscillator cases are considered in this formulation and various thermodynamic properties are reported including entropy, internal energy, chemical potential, specific heat, etc. Various consequences of the GUP are commented.","PeriodicalId":50309,"journal":{"name":"International Journal of Modern Physics a","volume":" ","pages":""},"PeriodicalIF":1.4000,"publicationDate":"2023-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Generalized Momentum implied by GUP with a Nonrelativistic Harmonic Oscillator\",\"authors\":\"S. A. Khorram-Hosseini, S. Zarrinkamar, H. Panahi\",\"doi\":\"10.1142/s0217751x23501294\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider the Schrödinger equation with a generalized form of uncertainty principle and solve the problem up to a third-order correction to the arising equation. The particle in box and harmonic oscillator cases are considered in this formulation and various thermodynamic properties are reported including entropy, internal energy, chemical potential, specific heat, etc. Various consequences of the GUP are commented.\",\"PeriodicalId\":50309,\"journal\":{\"name\":\"International Journal of Modern Physics a\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":1.4000,\"publicationDate\":\"2023-08-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Modern Physics a\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1142/s0217751x23501294\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, NUCLEAR\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Modern Physics a","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1142/s0217751x23501294","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, NUCLEAR","Score":null,"Total":0}
Generalized Momentum implied by GUP with a Nonrelativistic Harmonic Oscillator
We consider the Schrödinger equation with a generalized form of uncertainty principle and solve the problem up to a third-order correction to the arising equation. The particle in box and harmonic oscillator cases are considered in this formulation and various thermodynamic properties are reported including entropy, internal energy, chemical potential, specific heat, etc. Various consequences of the GUP are commented.
期刊介绍:
Started in 1986, IJMPA has gained international repute as a high-quality scientific journal. It consists of important review articles and original papers covering the latest research developments in Particles and Fields, and selected topics intersecting with Gravitation and Cosmology. The journal also features articles of long-standing value and importance which can be vital to research into new unexplored areas.