数学物理学报 ›› 2020, Vol. 40 ›› Issue (6): 1409-1419.

• 论文 •    下一篇

Fock型空间上的广义不确定原理

吴海桂(),梁玉霞*()   

  1. 天津师范大学数学科学学院 天津 300387
  • 收稿日期:2019-10-08 出版日期:2020-12-26 发布日期:2020-12-29
  • 通讯作者: 梁玉霞 E-mail:1239018786@qq.com;liangyx1986@126.com
  • 作者简介:吴海桂, E-mail: 1239018786@qq.com
  • 基金资助:
    国家自然科学基金(11701422)

Generalized Uncertainty Principle in Fock-Type Spaces

Haigui Wu(),Yuxia Liang*()   

  1. School of Mathematical Sciences, Tianjin Normal University, Tianjin 300387
  • Received:2019-10-08 Online:2020-12-26 Published:2020-12-29
  • Contact: Yuxia Liang E-mail:1239018786@qq.com;liangyx1986@126.com
  • Supported by:
    the NSFC(11701422)

摘要:

该文利用单边加权移位算子构造了广泛的自伴算子对, 进而给出了Fock型空间上广义不确定原理的表达式及其等号成立的条件.该结果推广了依赖于求导算子和乘法算子的不确定原理表达形式, 可为解决量子力学等前沿学科的相关热点问题提供理论依据.

关键词: Fock型空间, 不确定原理, 自伴算子, 单边加权移位算子

Abstract:

The unilateral weighted shift operator is used to construct a general self-adjoint operator pairs in this paper. We obtained the formula of generalized Uncertainty Principle in Fock-type spaces and presented conditions ensuring the equality. This result contains the classical Uncertainty Principle deduced from the derivation and multiplication operators, which can provide some theoretical basis for the solutions to related hot problems in quantum mechanics and other frontal subjects.

Key words: Fock-type space, Uncertainty Principle, Self-adjoint operator, Unilateral weighted shift operator

中图分类号: 

  • O177.1