Interaction picture as any other operator. In particular, let and be the density matrices in the interaction picture and the Schrödinger picture respectively. If there is probability to be in the physical state |"ψ"〉, then Transforming the Schrödinger equation into the interaction picture gives which states that in the interaction picture, a quantum state is evolved by the interaction part of the Hamiltonian as expressed in the interaction picture. If the operator "A" is time-independent (i.e., does not have "explicit time dependence"; see above), then the corresponding time evolution for "A"("t") is given by In the interaction picture the operators evolve in
Breakthrough Prize in Fundamental Physics Russian pianist Denis Matsuev performed for the guests of the ceremony. Some have expressed reservations about the award. Breakthrough Prize in Fundamental Physics The Breakthrough Prize in Fundamental Physics is awarded by the Fundamental Physics Prize Foundation, a not-for-profit organization dedicated to awarding physicists involved in fundamental research. The foundation was founded in July 2012 by Russian physicist and internet entrepreneur Yuri Milner. , this prize is the most lucrative academic prize in the world and is more than twice the amount given to the Nobel Prize awardees. This prize is also dubbed by the media as the "XXI Century