Editing Uncertainty principle (section)

==Applications==
Since the uncertainty principle is such a basic result in quantum mechanics, typical experiments in quantum mechanics routinely observe aspects of it. All forms of [[spectroscopy]], including [[particle physics]] use the relationship to relate measured energy line-width to the lifetime of quantum states. Certain experiments, however, may deliberately test a particular form of the uncertainty principle as part of their main research program. These include, for example, tests of number–phase uncertainty relations in [[superconductivity|superconducting]]<ref>{{cite journal|last1=Elion|first1=W. J. | last2=Matters | first2=M. | last3=Geigenmüller | first3=U. | last4=Mooij | first4=J. E. | title=Direct demonstration of Heisenberg's uncertainty principle in a superconductor | journal=Nature | volume=371 | pages=594–595 | year=1994 | doi= 10.1038/371594a0 | bibcode = 1994Natur.371..594E | issue=6498 | s2cid=4240085}}</ref> or [[quantum optics]]<ref>{{cite journal |last1=Smithey |first1=D. T. |first2=M. |last2=Beck |first3=J. |last3=Cooper |first4=M. G. |last4=Raymer | title=Measurement of number–phase uncertainty relations of optical fields | journal=Physical Review A |volume=48 | pages=3159–3167 | year=1993|doi=10.1103/PhysRevA.48.3159|bibcode = 1993PhRvA..48.3159S|issue=4|pmid=9909968}}</ref> systems. Applications dependent on the uncertainty principle for their operation include extremely low-noise technology such as that required in [[gravitational-wave interferometer|gravitational wave interferometer]]s.<ref>{{cite journal|last=Caves|first=Carlton|title=Quantum-mechanical noise in an interferometer|journal=Physical Review D | volume=23 | pages=1693–1708 | year=1981|doi=10.1103/PhysRevD.23.1693|bibcode = 1981PhRvD..23.1693C|issue=8 }}</ref>