Introducing the general condition for an operator in curved space to be unitary  

作　　者：Jafari Matehkolaee Mehdi 

机构地区：[1]Faculty of Physics,Semnan University,Semnan,35131-19111,Iran

出　　处：《Chinese Physics B》2021年第8期220-223,共4页中国物理B（英文版）

摘　　要：We investigate the general condition for an operator to be unitary.This condition is introduced according to the definition of the position operator in curved space.In a particular case,we discuss the concept of translation operator in curved space followed by its relation with an anti-Hermitian generator.Also we introduce a universal formula for adjoint of an arbitrary linear operator.Our procedure in this paper is totally different from others,as we explore a general approach based only on the algebra of the operators.Our approach is only discussed for the translation operators in one-dimensional space and not for general operators.

关 键 词：operator theory algebraic methods unitary operator translation operator 

分 类 号：O177[理学—数学]