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涉及双变数Hermite多项式的二项式定理及其在量子光学中的应用
  • ISSN号：1000-3290
  • 期刊名称：Acta Physica Sinica
  • 时间：2014.6.3
  • 页码：110304-
  • 分类：O431.2[机械工程—光学工程;理学—光学;理学—物理]
  • 作者机构：[1]宁波大学物理系,宁波315211, [2]中国科学技术大学材料科学与工程系,合肥230026
  • 相关基金：国家自然科学基金（批准号：11175113）资助的课题
  • 相关项目：Dirac符号法的进展及其在量子光学中的应用
作者： 范洪义|楼森岳|潘孝胤|笪诚|
关键词： 算符厄密多项式方法, 双变数厄密多项式, 算符恒定式, operator Hermite polynomial method, two-variable Hermite polynomials, operator identities
中文摘要：

我们用量子力学算符Hermite多项式方法发现了涉及双变数Hermite多项式的二项式的两个定理,它们在计算若干量子光场的物理性质时有实质性的应用.该方法不但具有简捷的优点,而且能导出很多新的算符恒等式,成为发展数学物理理论的一个重要分支.若干常用的特殊函数的宗量也由普通数变为算符.

英文摘要：

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.

同期刊论文项目
Dirac符号法的进展及其在量子光学中的应用
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期刊信息
  • 《物理学报》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国物理学会 中国科学院物理研究所
  • 主编：欧阳钟灿
  • 地址：北京603信箱(中国科学院物理研究所)
  • 邮编：100190
  • 邮箱：apsoffice@iphy.ac.cn
  • 电话：010-82649026
  • 国际标准刊号：ISSN：1000-3290
  • 国内统一刊号：ISSN：11-1958/O4
  • 邮发代号:2-425
  • 获奖情况:
  • 1999年首届国家期刊奖,2000年中科院优秀期刊特等奖,2001年科技期刊最高方阵队双高期刊居中国期刊第12位
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  • 美国化学文摘（网络版）,荷兰文摘与引文数据库,美国工程索引,美国科学引文索引（扩展库）,英国科学文摘数据库,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:49876