广义不确定原理对非谐振子的影响

IF 1.1 4区物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY

Canadian Journal of Physics Pub Date : 2023-03-10 DOI:10.1139/cjp-2022-0303

Aniket Nag, S. Sahoo

{"title":"广义不确定原理对非谐振子的影响","authors":"Aniket Nag, S. Sahoo","doi":"10.1139/cjp-2022-0303","DOIUrl":null,"url":null,"abstract":"The minimal length Generalized Uncertainty Principle (GUP) is a proposed theory based on the basic phenomenology of Quantum Gravity (QG) to study the effect of gravity in the quantum realm in a non-relativistic way. In this paper, we study the GUP effect on Anharmonic oscillator by the ladder operator and perturbation theory. Taking different order of perturbation from the potential of Anharmonic oscillator, the first and second order energy corrections and the first order correction of wavefunction have been derived. We have also studied the variation of energy spectrum in general Harmonic and Anharmonic oscillator in an undergraduate non-relativistic approach.","PeriodicalId":9413,"journal":{"name":"Canadian Journal of Physics","volume":null,"pages":null},"PeriodicalIF":1.1000,"publicationDate":"2023-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"EFFECT OF GENERALIZED UNCERTAINTY PRINCIPLE ON ANHARMONIC OSCILLATOR\",\"authors\":\"Aniket Nag, S. Sahoo\",\"doi\":\"10.1139/cjp-2022-0303\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The minimal length Generalized Uncertainty Principle (GUP) is a proposed theory based on the basic phenomenology of Quantum Gravity (QG) to study the effect of gravity in the quantum realm in a non-relativistic way. In this paper, we study the GUP effect on Anharmonic oscillator by the ladder operator and perturbation theory. Taking different order of perturbation from the potential of Anharmonic oscillator, the first and second order energy corrections and the first order correction of wavefunction have been derived. We have also studied the variation of energy spectrum in general Harmonic and Anharmonic oscillator in an undergraduate non-relativistic approach.\",\"PeriodicalId\":9413,\"journal\":{\"name\":\"Canadian Journal of Physics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2023-03-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Canadian Journal of Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1139/cjp-2022-0303\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Canadian Journal of Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1139/cjp-2022-0303","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}

引用次数: 0

摘要

最小长度广义不确定性原理(GUP)是在量子引力基本现象学的基础上，以非相对论的方式研究引力在量子领域的影响而提出的一种理论。本文利用阶梯算子和微扰理论研究了非谐振子的GUP效应。对非谐振子的势进行不同阶的扰动，推导出一阶、二阶能量修正和波函数的一阶修正。我们还用非相对论的方法研究了一般谐振子和非谐振子的能谱变化。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

EFFECT OF GENERALIZED UNCERTAINTY PRINCIPLE ON ANHARMONIC OSCILLATOR

The minimal length Generalized Uncertainty Principle (GUP) is a proposed theory based on the basic phenomenology of Quantum Gravity (QG) to study the effect of gravity in the quantum realm in a non-relativistic way. In this paper, we study the GUP effect on Anharmonic oscillator by the ladder operator and perturbation theory. Taking different order of perturbation from the potential of Anharmonic oscillator, the first and second order energy corrections and the first order correction of wavefunction have been derived. We have also studied the variation of energy spectrum in general Harmonic and Anharmonic oscillator in an undergraduate non-relativistic approach.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Canadian Journal of Physics 物理-物理：综合

CiteScore

2.30

自引率

8.30%

发文量

审稿时长

1.7 months

期刊介绍： The Canadian Journal of Physics publishes research articles, rapid communications, and review articles that report significant advances in research in physics, including atomic and molecular physics; condensed matter; elementary particles and fields; nuclear physics; gases, fluid dynamics, and plasmas; electromagnetism and optics; mathematical physics; interdisciplinary, classical, and applied physics; relativity and cosmology; physics education research; statistical mechanics and thermodynamics; quantum physics and quantum computing; gravitation and string theory; biophysics; aeronomy and space physics; and astrophysics.