Stochastic nonlinear wave equations and Schrödinger equations represent a fascinating confluence of probability theory and the analysis of partial differential equations. By incorporating random ...
Quarterly of Applied Mathematics, Vol. 68, No. 1 (March 2010), pp. 61-71 (11 pages) We address the problem of describing solutions of the nonlinear Schrödinger equation on a compact surface in the ...
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New theory proposes the universe collapsed itself into reality, solving Schrödinger’s cat paradox
In the strange world of quantum mechanics, objects can exist in several states at once. This concept, called superposition, is one of the most puzzling features of quantum theory. A particle, for ...
The heart of quantum mechanics is the wave-particle duality: matter and light possess both wave-like and particle-like attributes. Typically, the wave-like properties are inferred indirectly from the ...
Light Publishing Center, Changchun Institute of Optics, Fine Mechanics And Physics, CAS Four decades ago, Feynman proposed the idea that the operation of a complex quantum system can be simulated by ...
Physicists’ main goal is to be able to predict what will happen in the future based on patterns they’ve already observed, whether in massive systems of stars or tiny groups of atoms. Predicting ...
We consider the system linearly coupled by nonlinear Schrödinger equations in ℝ3: $\{\begin{array}{c}-\mathrm{\Delta }{\mathrm{u}}_{\mathrm{j}}+{\mathrm{u ...
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