动量空间中的到达时间算子

IF 1 4区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL
A.M. Schlichtinger, A. Jadczyk
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引用次数: 0

摘要

证明了在一定的外场存在下,存在一个定义良好的自伴随时间算子,它满足与哈密顿量的标准正则交换关系。例子包括非相对论性和相对论性哈密顿量的均匀电场和引力场。提出了这些算符在动量空间中的到达时间的物理解释。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Time of arrival operator in the momentum space

It is shown that in presence of certain external fields a well-defined self-adjoint time operator exists, satisfying the standard canonical commutation relations with the Hamiltonian. Examples include uniform electric and gravitational fields with nonrelativistic and relativistic Hamiltonians. The physical intepretation of these operators is proposed in terms of time of arrival in the momentum space.

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来源期刊
Reports on Mathematical Physics
Reports on Mathematical Physics 物理-物理:数学物理
CiteScore
1.80
自引率
0.00%
发文量
40
审稿时长
6 months
期刊介绍: Reports on Mathematical Physics publish papers in theoretical physics which present a rigorous mathematical approach to problems of quantum and classical mechanics and field theories, relativity and gravitation, statistical physics, thermodynamics, mathematical foundations of physical theories, etc. Preferred are papers using modern methods of functional analysis, probability theory, differential geometry, algebra and mathematical logic. Papers without direct connection with physics will not be accepted. Manuscripts should be concise, but possibly complete in presentation and discussion, to be comprehensible not only for mathematicians, but also for mathematically oriented theoretical physicists. All papers should describe original work and be written in English.
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