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Maximally resonant
potentials subject to p-norm
constraints
Roman Svirsky |
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Vol. 129 (1987), No. 2, 357–374
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Abstract |
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We prove the existence of and characterize quantum-mechanical potentials within certain Lp-classes that produce maximally sharp resonances. The best results are obtained in the spherically symmetric case where it is shown that, roughly speaking, maximally sharp resonances are caused by barrier confinement of a metastable state, although in some cases there is interaction in the interior of the confining barrier. |
Mathematical Subject Classification 2000
Primary: 81C05, 81C05
Secondary: 35J10, 47F05, 81F05
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Milestones
Received: 14 April 1986
Revised: 30 June 1986
Published: 1 October 1987
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Authors |
| Roman Svirsky | |
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