Binomial theorems related to two-variable Hermite polynomials and its application in quantum optics

Author:

Fan Hong-Yi ,Lou Sen-Yue ,Pan Xiao-Yin ,Da Cheng , ,

Abstract

We propose an operator Hermite polynomial method, namely, to replace the special functions' argument by quantum mechanical operator, and in this way we have derived two binomial theorems related to two-variable Hermite polynomials. This method is concise and may be of help in deducing many operator identities, which may become a new branch in mathematical physics theory.

Publisher

Acta Physica Sinica, Chinese Physical Society and Institute of Physics, Chinese Academy of Sciences

Subject

General Physics and Astronomy

Reference17 articles.

1. Fan H Y, Lou S Y, Pan X Y, Da C 2013 Acta Phys. Sin. 62 240301 (in Chinese) [范洪义, 楼森岳, 潘孝胤, 笪诚 2013 物理学报 62 240301]

2. Fan H Y, Zhou J 2012 Science China, Physics, Mechanics m& Astronomy 55 605

3. A. Erdelyi 1953 Higher Transcendental Functions (The Bateman Manuscript Project) (McGraw Hill)

4. Fan H Y, Jiang T F 2007 Mod. phys. Lett. B 21 475

5. Fan H Y, Tang X B 2008 Devolopment of basis of the mathematical physics of quantum mechanics (Hefei:USTC Press)(in Chinese) [范洪义, 唐绪兵 2008 量子力学数理基础进展(合肥: 中国科学技术大学出版社)]

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3