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On the unitarity of the wave operators for AC-Stark Hamiltonians

Published online by Cambridge University Press:  14 November 2011

Min-Jei Huang
Min-Jei Huang
Affiliation:
Department of Mathematics, National Tsing Hua University, Hsinchu, Taiwan 30043
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Extract

We study a class of AC-Stark Hamiltonians H1(t) = H0(t) + V, where H0(t)= −Δ + E · x cos ωt. For a class of repulsive potentials, we show that the wave operators exist and are unitary, provided that |E|/ω2 is small. If |E|/ω2 is sufficiently large, the result remains true as long as V is sufficiently small.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 125 , Issue 3 , 1995 , pp. 617 - 624
Copyright
Copyright © Royal Society of Edinburgh 1995

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