The Time Energy Uncertainty Relation

P Busch

doi:10.1007/3-540-45846-8_3

The Time Energy Uncertainty Relation

P Busch

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

The time energy uncertainty relation has been a controversial issue since the advent of quantum theory, with respect to appropriate formalisation, validity and possible meanings. A comprehensive account of the development of this subject up to the 1980s is provided by a combination of the reviews of Jammer (1974), Bauer and Mello (1978), and Busch (1990). More recent reviews are concerned with different specific aspects of the subject. The purpose of this chapter is to show that different types of time energy uncertainty relation can indeed be deduced in specific contexts, but that there is no unique universal relation that could stand on equal footing with the position-momentum uncertainty relation. To this end, we will survey the various formulations of a time energy uncertainty relation, with a brief assessment of their validity, and along the way we will indicate some new developments that emerged since the 1990s.

Original language	English
Title of host publication	Time in Quantum Mechanics
Subtitle of host publication	Lecture Notes in Physics
Editors	J G Muga, et al - E T Bergstrom
Place of Publication	Berlin
Publisher	Springer
Pages	69-98
Number of pages	30
Volume	72
DOIs	https://doi.org/10.1007/3-540-45846-8_3
Publication status	Published - 2002

Publication series

Name	Lecture Notes in Physics
Publisher	Springer

Keywords

Mathematical Physics

Access to Document

10.1007/3-540-45846-8_3

http://arxiv.org/abs/quant-ph/0105049

Cite this

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abstract = "The time energy uncertainty relation has been a controversial issue since the advent of quantum theory, with respect to appropriate formalisation, validity and possible meanings. A comprehensive account of the development of this subject up to the 1980s is provided by a combination of the reviews of Jammer (1974), Bauer and Mello (1978), and Busch (1990). More recent reviews are concerned with different specific aspects of the subject. The purpose of this chapter is to show that different types of time energy uncertainty relation can indeed be deduced in specific contexts, but that there is no unique universal relation that could stand on equal footing with the position-momentum uncertainty relation. To this end, we will survey the various formulations of a time energy uncertainty relation, with a brief assessment of their validity, and along the way we will indicate some new developments that emerged since the 1990s.",

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AB - The time energy uncertainty relation has been a controversial issue since the advent of quantum theory, with respect to appropriate formalisation, validity and possible meanings. A comprehensive account of the development of this subject up to the 1980s is provided by a combination of the reviews of Jammer (1974), Bauer and Mello (1978), and Busch (1990). More recent reviews are concerned with different specific aspects of the subject. The purpose of this chapter is to show that different types of time energy uncertainty relation can indeed be deduced in specific contexts, but that there is no unique universal relation that could stand on equal footing with the position-momentum uncertainty relation. To this end, we will survey the various formulations of a time energy uncertainty relation, with a brief assessment of their validity, and along the way we will indicate some new developments that emerged since the 1990s.

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