Smooth adiabatic evolutions with leaky power tails

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چکیده

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Smooth adiabatic evolutions with leaky power tails

Adiabatic evolutions with a gap condition have, under a range of circumstances, exponentially small tails that describe the leaking out of the spectral subspace. Adiabatic evolutions without a gap condition do not seem to have this feature in general. This is a known fact for eigenvalue crossing. We show that this is also the case for eigenvalues at the threshold of the continuous spectrum by c...

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ua nt - p h / 99 09 06 3 v 2 8 N ov 1 99 9 Smooth adiabatic evolutions with leaky power tails

Adiabatic evolutions with a gap condition have, under a range of circumstances, exponentially small tails that describe the leaking out of the spectral subspace. Adiabatic evolutions without a gap condition do not seem to have this feature in general. This is a known fact for eigenvalue crossing. We show that this is also the case for eigenvalues at the threshold of the continuous spectrum by c...

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ژورنال

عنوان ژورنال: Journal of Physics A: Mathematical and General

سال: 1999

ISSN: 0305-4470,1361-6447

DOI: 10.1088/0305-4470/32/50/102