{"title":"盒子里的微粒值得检查","authors":"J. Klauder","doi":"10.4236/jhepgc.2022.83043","DOIUrl":null,"url":null,"abstract":"The particle in a box is a simple model that has a classical Hamiltonian H = p 2 (using 2 m = 1), with a limited coordinate space, − b < q < b , where 0 < b < ∞ . Using canonical quantization, this example has been fully studied thanks to its simplicity, and it is a common example for beginners to understand. Despite its repeated analysis, there is a feature that puts the past results into question. In addition to pointing out the quantization issue, the procedures of affine quantization can lead to a proper quantization that nesaeccsrily points toward more complicated eigenfunctions and eigenvalues, which deserve to be solved.","PeriodicalId":59175,"journal":{"name":"高能物理(英文)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2022-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"The Particle in a Box Warrants an Examination\",\"authors\":\"J. Klauder\",\"doi\":\"10.4236/jhepgc.2022.83043\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The particle in a box is a simple model that has a classical Hamiltonian H = p 2 (using 2 m = 1), with a limited coordinate space, − b < q < b , where 0 < b < ∞ . Using canonical quantization, this example has been fully studied thanks to its simplicity, and it is a common example for beginners to understand. Despite its repeated analysis, there is a feature that puts the past results into question. In addition to pointing out the quantization issue, the procedures of affine quantization can lead to a proper quantization that nesaeccsrily points toward more complicated eigenfunctions and eigenvalues, which deserve to be solved.\",\"PeriodicalId\":59175,\"journal\":{\"name\":\"高能物理(英文)\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-04-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"高能物理(英文)\",\"FirstCategoryId\":\"1089\",\"ListUrlMain\":\"https://doi.org/10.4236/jhepgc.2022.83043\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"高能物理(英文)","FirstCategoryId":"1089","ListUrlMain":"https://doi.org/10.4236/jhepgc.2022.83043","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
摘要
盒子中的粒子是一个简单模型,具有经典哈密顿量H = p 2(使用2m = 1),坐标空间有限,−b < q < b,其中0 < b <∞。使用规范量化,由于其简单性,这个例子已经得到了充分的研究,对于初学者来说,它是一个常见的例子。尽管反复分析,但有一个特点使过去的结果受到质疑。除了指出量化问题外,仿射量化的过程还可以导致适当的量化,这必然指向更复杂的特征函数和特征值,这些特征函数和特征值值得解决。
The particle in a box is a simple model that has a classical Hamiltonian H = p 2 (using 2 m = 1), with a limited coordinate space, − b < q < b , where 0 < b < ∞ . Using canonical quantization, this example has been fully studied thanks to its simplicity, and it is a common example for beginners to understand. Despite its repeated analysis, there is a feature that puts the past results into question. In addition to pointing out the quantization issue, the procedures of affine quantization can lead to a proper quantization that nesaeccsrily points toward more complicated eigenfunctions and eigenvalues, which deserve to be solved.