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

• 作者: Jafari Matehkolaee Mehdi
• 来源期刊: 中国物理B（英文版）
• 年，卷（期）: 2021,（8）
• 所属期刊栏目: GENERAL
• 页码范围: 247-251
• 页数: 5页
• 语种: 英文
• DOI: 10.1088/1674-1056/abe300

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.