变形量子化中的费曼-卡茨公式

IF 2.9 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

The European Physical Journal Plus Pub Date : 2025-09-13 DOI:10.1140/epjp/s13360-025-06820-0

Jasel Berra-Montiel, Hugo García-Compeán, Alberto Molgado

{"title":"变形量子化中的费曼-卡茨公式","authors":"Jasel Berra-Montiel, Hugo García-Compeán, Alberto Molgado","doi":"10.1140/epjp/s13360-025-06820-0","DOIUrl":null,"url":null,"abstract":"<div><p>We introduce the Feynman-Kac formula within the deformation quantization program. Inferred from the previous work, it is shown that, upon a Wick rotation, the ground state energy of any prescribed physical system can be obtained from the asymptotic limit of the phase space integration of the star exponential of the Hamiltonian function. Some examples of this correspondence are provided showing a novel and efficient way of computing the ground state energy for some physical models.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"140 9","pages":""},"PeriodicalIF":2.9000,"publicationDate":"2025-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Feynman-Kac formula in deformation quantization\",\"authors\":\"Jasel Berra-Montiel, Hugo García-Compeán, Alberto Molgado\",\"doi\":\"10.1140/epjp/s13360-025-06820-0\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We introduce the Feynman-Kac formula within the deformation quantization program. Inferred from the previous work, it is shown that, upon a Wick rotation, the ground state energy of any prescribed physical system can be obtained from the asymptotic limit of the phase space integration of the star exponential of the Hamiltonian function. Some examples of this correspondence are provided showing a novel and efficient way of computing the ground state energy for some physical models.</p></div>\",\"PeriodicalId\":792,\"journal\":{\"name\":\"The European Physical Journal Plus\",\"volume\":\"140 9\",\"pages\":\"\"},\"PeriodicalIF\":2.9000,\"publicationDate\":\"2025-09-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The European Physical Journal Plus\",\"FirstCategoryId\":\"4\",\"ListUrlMain\":\"https://link.springer.com/article/10.1140/epjp/s13360-025-06820-0\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal Plus","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epjp/s13360-025-06820-0","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}

引用次数: 0

摘要

我们在变形量化程序中引入费曼-卡茨公式。根据前面的工作，我们证明了在一个Wick旋转时，任何规定的物理系统的基态能量都可以由哈密顿函数的星指数相空间积分的渐近极限得到。给出了这种对应关系的一些例子，为某些物理模型提供了一种新的、有效的计算基态能量的方法。

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

The Feynman-Kac formula in deformation quantization

We introduce the Feynman-Kac formula within the deformation quantization program. Inferred from the previous work, it is shown that, upon a Wick rotation, the ground state energy of any prescribed physical system can be obtained from the asymptotic limit of the phase space integration of the star exponential of the Hamiltonian function. Some examples of this correspondence are provided showing a novel and efficient way of computing the ground state energy for some physical models.

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

The European Physical Journal Plus PHYSICS, MULTIDISCIPLINARY-

CiteScore

5.40

自引率

8.80%

发文量

1150

审稿时长

4-8 weeks

期刊介绍： The aims of this peer-reviewed online journal are to distribute and archive all relevant material required to document, assess, validate and reconstruct in detail the body of knowledge in the physical and related sciences. The scope of EPJ Plus encompasses a broad landscape of fields and disciplines in the physical and related sciences - such as covered by the topical EPJ journals and with the explicit addition of geophysics, astrophysics, general relativity and cosmology, mathematical and quantum physics, classical and fluid mechanics, accelerator and medical physics, as well as physics techniques applied to any other topics, including energy, environment and cultural heritage.