Long-time behaviour of an initially localized quantum state
Keyword(s):
The long-time behaviour of an initially localized quantum state is shown to decay as t –3/2 for any potential well and any potential barrier. An example using a delta barrier is also calculated fully. The result is general yet the proof uses a simple method that is clear and accessible to a wide audience. The effect of bound states on the long-time behaviour is also considered. When there are bound states the long-time behaviour is different.PACS Nos.: 03.65.–w, 03.65.Xp
2011 ◽
Vol 4
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pp. 273-309
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2002 ◽
Vol 18
(3)
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pp. 579-596
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2006 ◽
Vol 18
(14)
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pp. S235-S243
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2006 ◽
Vol 15
(4)
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pp. 1119-1135
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2011 ◽
Vol 648
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pp. 132-138
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2004 ◽
Vol 15
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pp. 55-77
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2000 ◽
Vol 6
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pp. 451-462
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