The most common general form of the uncertainty principle is the Robertson uncertainty relation.
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In 1999 Nazarov was awarded the Salem Prize "for his work in harmonic analysis, in particular, the uncertainty principle, and his contribution to the development of Bellman function methods".
Hawking's work followed his visit to Moscow in 1973 where the Soviet scientists Yakov Zeldovich and Alexei Starobinsky showed him that according to the quantum mechanical uncertainty principle, rotating black holes should create and emit particles.
The uncertainty principle relates the lifetime of an excited state (due to the spontaneous radiative decay or the Auger process) with the uncertainty of its energy.
The shape of the zero-phonon line is Lorentzian with a width determined by the excited state lifetime T10 according to the Heisenberg uncertainty principle.