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三个极限圆型Hamilton算子乘积的自伴性
  • ISSN号：0254-3079
  • 期刊名称：应用数学学报
  • 时间：2014.9.15
  • 页码：769-785
  • 分类：O175.1[理学—数学;理学—基础数学]
  • 作者机构：[1]曲阜师范大学数学科学学院,曲阜273165
  • 相关基金：国家自然科学基金（11171178,11271225）; 高等学校博士学科点专项科研基金（20103705110003）; 山东省高校优秀科研创新团队计划资助项目 致谢 感谢审稿人提出的宝贵意见.
  • 相关项目：哈密顿系统的定性理论与渐近性理论
作者： 郑召文|刘宝圣|
关键词： 奇异Hamilton算子, 极限圆型, 亏指数, 积算子, 自伴扩张, singular Hamiltonian operator, limit circle case, defect index, product of operator, self-adjoint extension
中文摘要：

本文讨论了极限圆型Hamilton算子乘积的自伴性,利用Calkin理论及奇异Hamilton系统自伴扩张的一般构造理论,给出了在极限圆型时判定三个.Hamilton算子乘积自伴的—个充要条件.

英文摘要：

This paper is concerned with self-adjointness of the product of three Hamiltonian operators under the limit circle case. Using the Calkin theory and the construction of self-adjoint extension for singular Hamiltonian systems. The necessary and sufficient conditions which make the product of three Hamiltonian operators under the limit circle case being the adjoint operators are obtained.

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哈密顿系统的定性理论与渐近性理论
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期刊信息
  • 《应用数学学报》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中国数学会 中国科学院数学与系统科学研究院
  • 主编：丁夏畦
  • 地址：北京市海淀区中关村东路55号
  • 邮编：100190
  • 邮箱：
  • 电话：
  • 国际标准刊号：ISSN：0254-3079
  • 国内统一刊号：ISSN：11-2040/O1
  • 邮发代号:2-822
  • 获奖情况:
  • 1996、2000年获“中科院优秀科技期刊”三等奖,1997年获“第二届全国优秀科技期刊”三等奖,2001年入选“双效期刊”（中国期刊方阵）
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,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:6864