We compute the time-dependent Schrodinger propagator with a point interaction in dimension n less-than-or-equal-to 3 including the new cases of n = 2 and the most general interaction supported by a point for n = 1. We also give the small-time asymptotics for n less-than-or-equal-to 3. The case n = 2 has the peculiarity of involving logarithmic terms in the expansion.

Time-dependent propagator with point interaction / Albeverio, S.; Brzezniak, Z.; Dabrowski, L.. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. - ISSN 0305-4470. - 27:14(1994), pp. 4933-4943. [10.1088/0305-4470/27/14/021]

Time-dependent propagator with point interaction

Dabrowski, L.
1994-01-01

Abstract

We compute the time-dependent Schrodinger propagator with a point interaction in dimension n less-than-or-equal-to 3 including the new cases of n = 2 and the most general interaction supported by a point for n = 1. We also give the small-time asymptotics for n less-than-or-equal-to 3. The case n = 2 has the peculiarity of involving logarithmic terms in the expansion.
1994
27
14
4933
4943
Albeverio, S.; Brzezniak, Z.; Dabrowski, L.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/16484
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