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Post by frostysh on Jan 6, 2015 22:33:47 GMT 2
In the present Physical Review Letters paper [L. Maccone and A. K. Pati, Phys. Rev. Lett. (2014)], these authors have proved two new uncertainty relations that bound the sum of variances of two incompatible observables. In contrast to the well-known Heisenberg-Robertson relation, which bounds the product of variances, these new relations always give non-trivial bounds for all incompatible observables. For example, the new relation tells us that the sum of the variances of the position and the momentum of a quantum particle (such as a single photon or a single electron) is bounded by the Planck constant plus an additional positive term, thus making the uncertainty relation much stronger than before. In contrast, the usual Heisenberg uncertainty relation implies that the sum of the variances of the position and the momentum for any particle is always bounded by the Planck constant.
Read more at: phys.org/news/2015-01-variances-heisenberg-incompatible.html#jCpВиходять, дуже цікаві речі, в яких потрібно розібратися.
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