التفاصيل البيبلوغرافية
| العنوان: |
Long-time dynamics of the perturbed Schrödinger equation on negatively curved surfaces |
| المؤلفون: |
Riviere, Gabriel |
| المساهمون: |
Laboratoire Paul Painlevé - UMR 8524 LPP |
| سنة النشر: |
2025 |
| المجموعة: |
LillOA (Lille Open Archive - Université de Lille) |
| مصطلحات موضوعية: |
Semiclassical Analysis, Schr\odinger equation, Negatively curved manifolds, Quantum Loschmidt echo, Strong structural stability |
| الوصف: |
We consider perturbations of the semiclassical Schrödinger equation on a compact Riemannian surface with constant negative curvature and without boundary. We show that, for scales of times which are logarithmic in the size of the perturbation, the solutions associated to initial data in a small spectral window become equidistributed in the semiclassical limit. As an application of our method, we also derive some properties of the quantum Loschmidt echo below and beyond the Ehrenfest time for initial data in a small spectral window. |
| نوع الوثيقة: |
other/unknown material |
| وصف الملف: |
application/octet-stream |
| اللغة: |
English |
| Relation: |
http://hdl.handle.net/20.500.12210/123530 |
| الاتاحة: |
https://hdl.handle.net/20.500.12210/123530 |
| Rights: |
info:eu-repo/semantics/openAccess |
| رقم الانضمام: |
edsbas.E1C747C1 |
| قاعدة البيانات: |
BASE |