Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/ios-press/double-well-stark-effect-crossing-and-anticrossing-of-resonances-V3vRpHjpeM
References (17)
-
S. Graffi, V. Grecchi, G. Jona-Lasinio (1984)
Tunnelling instability via perturbation theoryJournal of Physics A, 17
-
F. Bentosela, V. Grecchi, F. Zironi (1983)
Oscillations of Wannier ResonancesPhysical Review Letters, 50
-
P. Hislop, I. Sigal (1989)
Semiclassical theory of shape resonances in quantum mechanicsMemoirs of the American Mathematical Society, 78
-
M. Ferrari, V. Grecchi, F. Zironi (1985)
Stark-Wannier states and Bender-Wu singularitiesJournal of Physics C: Solid State Physics, 18
-
B. Simon (1985)
Semiclassical analysis of low lying eigenvalues. IV. The flea on the elephantJournal of Functional Analysis, 63
-
G. Jona-Lasinio, F. Martinelli, E. Scoppola (1985)
Tunneling in one dimension: General theory, instabilities, rules of calculation, applications -
B. Helffer, J. Sjöstrand (1984)
Multiple wells in the semi-classical limit ICommunications in Partial Differential Equations, 9
-
Noureddine Kaidi, M. Rouleux (1990)
Multiple resonances in the semi-classical limitCommunications in Mathematical Physics, 133
-
V. Grecchi, André Martinez, A. Sacchetti (1996)
Splitting instability: the unstable double wellsJournal of Physics A, 29
-
B. Helffer, J. Sjöstrand (1986)
Résonances en limite semi-classique, 1
-
B. Helffer, A. Martinez (1987)
Comparaison entre les diverses notions de résonancesHelvetica Physica Acta, 60
-
J. Avron (1982)
The lifetime of Wannier ladder statesAnnals of Physics, 143
-
B. Helffer (1988)
Semi-Classical Analysis for the Schrödinger Operator and Applications -
P. Briet, J. Combes, P. Duclos (1988)
Erratum for: on the location of resonance for schrödinger operations in the semiclassical limit ii: barrier tio resonancesCommunications in Partial Differential Equations, 13
-
V. Grecchi, A. Sacchetti (1995)
Crossing and anticrossing of resonances: The Wannier-Stark laddersAnnals of Physics, 241
-
Schneider, Grahn, Klitzing, Ploog (1990)
Resonance-induced delocalization of electrons in GaAs-AlAs superlattices.Physical review letters, 65 21
-
P. Briet, J.M Combes, P. Duclos (1987)
On the location of resonances for Schrödinger operators in the semiclassical limit I. Resonances free domainsJournal of Mathematical Analysis and Applications, 126
- Publisher
- IOS Press
- Copyright
- Copyright © 1996 by IOS Press, Inc
- ISSN
- 0921-7134
- eISSN
- 1875-8576
- DOI
- 10.3233/ASY-1996-13403
- Publisher site
- See Article on Publisher Site
Abstract
We consider the semiclassical Stark effect for a family of asymmetric unstable double well models and we study the crossing and anticrossing of the field dependent resonances in the complex field plane. We prove that a Bender-Wu type singularity crosses the real axis when the internal barrier is nearly twice “larger” than the external one and the beating period is close to the shorter life-time of the resonances. At this critical point we have the anticrossing-crossing transition and for larger instability we have the single well localization.
Journal
Asymptotic Analysis – IOS Press
Published: Jan 1, 1996