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LOCATION:Online
DESCRIPTION:A finite additive measure will be constructed on a separable Hilbert space\, invariant with respect to a shift to any vector. Invariance will allow us to construct smoothed functions differentiable along any coordinate direction\, embedded in quadratically integrable functions\, as well as tightly defined Laplace operator and Hamiltonian of an infinite-dimensional quantum oscillator. By analogy with the finite-dimensional case (Yu.N.Orlov\, V.Zh.Sakbaev\, D.V.Zavadsky)\, an approximation of the evolution of a quantum oscillator will be proved by averaging random shifts in the coordinate and pulse representations.


DTSTART:20231221T190000Z
DTEND:20231221T200000Z
SUMMARY:Seminar “Nonpotential dynamical systems and neural network technologies”
URL;VALUE=URI:/media/events/seminar-nonpotential-dynamical-systems-and-neural-network-technologies-3/
DTSTAMP:20260505T221949Z
UID:69fa42d5d5698
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