Energy Growth in Schrödinger's Equation with Markovian Forcing
نویسندگان
چکیده
منابع مشابه
Energy Growth in Schrödinger’s Equation with Markovian Forcing
Abstract. Schrödinger’s equation is considered on a one-dimensional torus with time dependent potential v(θ, t) = λV (θ)X(t) where V (θ) is an even trigonometric polynomial and X(t) is a stationary Markov process. It is shown that when the coupling constant λ is sufficiently small, the average kinetic energy grows as the square-root of time. More generally, the Hs norm of the wave function is s...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2003
ISSN: 0010-3616
DOI: 10.1007/s00220-003-0892-7