Adiabatic evolution and shape resonances
Motivated by a problem of one mode approximation for a non-linear evolution with charge accumulation in potential wells, we consider a general linear adiabatic evolution problem for a semi-classical Schrodinger operator with a time dependent potential with a well in an island. In particular, we show...
Enregistré dans:
Auteurs principaux : | , , |
---|---|
Format : | Livre |
Langue : | anglais |
Titre complet : | Adiabatic evolution and shape resonances / Michael Hitrik, Andrea Mantile, Johannes Sjöstrand |
Publié : |
Providence (R.I.) :
American Mathematical Society
, 2022 |
Description matérielle : | 1 vol. (V-90 p.) |
Collection : | Memoirs of the American Mathematical Society ; 1380 |
Sujets : |
LEADER | 02404nam a2200541 4500 | ||
---|---|---|---|
001 | PPN267349467 | ||
003 | http://www.sudoc.fr/267349467 | ||
005 | 20230614061900.0 | ||
010 | |a 978-1-4704-5421-0 | ||
020 | |a US |b 2022048356 | ||
035 | |a (OCoLC)1366111066 | ||
035 | |a on1365560478 | ||
073 | 1 | |a 9781470454210 | |
100 | |a 20230128h20222022k y0frey0103 ba | ||
101 | 0 | |a eng |2 639-2 | |
102 | |a US | ||
105 | |a y a 000yy | ||
106 | |a r | ||
181 | |6 z01 |c txt |2 rdacontent | ||
181 | 1 | |6 z01 |a i# |b xxxe## | |
182 | |6 z01 |c n |2 rdamedia | ||
182 | 1 | |6 z01 |a n | |
183 | |6 z01 |a nga |2 RDAfrCarrier | ||
200 | 1 | |a Adiabatic evolution and shape resonances |f Michael Hitrik, Andrea Mantile, Johannes Sjöstrand | |
214 | 0 | |a Providence (R.I.) |c American Mathematical Society |d 2022 | |
215 | |a 1 vol. (V-90 p.) |d 26 cm | ||
225 | 0 | |a Memoirs of the American Mathematical Society |v number 1380 | |
300 | |a "November 2022, volume 280, number 1380 (third of 8 numbers)" | ||
320 | |a Bibliogr. p. 89-90 | ||
330 | |a Motivated by a problem of one mode approximation for a non-linear evolution with charge accumulation in potential wells, we consider a general linear adiabatic evolution problem for a semi-classical Schrodinger operator with a time dependent potential with a well in an island. In particular, we show that we can choose the adiabatic parameter with ln , where h denotes the semi-classical parameter, and get adiabatic approximations of exact solutions over a time interval of length N with an error O(). Here N 0 is arbitrary. |2 résumé des auteurs | ||
410 | | | |0 013293931 |t Memoirs of the American Mathematical Society |x 0065-9266 |v 1380 | |
606 | |3 PPN027801284 |a Physique mathématique |2 rameau | ||
606 | |3 PPN031400868 |a Invariants adiabatiques |2 rameau | ||
606 | |3 PPN027225402 |a Équations aux dérivées partielles |2 rameau | ||
676 | |a 515/.7242 |v 23/eng20230112 | ||
680 | |a QC20.6 | ||
686 | |a 35B34 |c 2020 |2 msc | ||
686 | |a 35J10 |c 2020 |2 msc | ||
686 | |a 35P20 |c 2020 |2 msc | ||
686 | |a 35S05 |c 2020 |2 msc | ||
700 | 1 | |3 PPN236981870 |a Hitrik |b Michael |f 19..-.... |4 070 | |
701 | 1 | |3 PPN267349432 |a Mantile |b Andrea |f 19..-.... |4 070 | |
701 | 1 | |3 PPN028809327 |a Sjöstrand |b Johannes |f 1947-.... |4 070 | |
801 | 3 | |a FR |b Abes |c 20230128 |g AFNOR | |
801 | 0 | |b GBVCP |g AACR2 | |
930 | |5 441092208:792118715 |b 441092208 |j u | ||
979 | |a CCFA | ||
998 | |a 944104 |