Sharp Spectral Asymptotics for 2-dimensional Schrödinger operator with a strong magnetic field. Note about forgotten generic case
Ivrii, Victor
الأصل · EN
I consider magnetic Schrödinger operator in dimension d=2 assuming that coefficients are smooth and magnetic field is non-degenerating. Then I extend the remainder estimate O(μ⁻¹h⁻¹+1) derived in Ivr1 for the case when V/F has no stationary points to the case when it has non-degenerating stationary points. If some of them are saddles and μ³h≥ 2 then asymptotics contains correction terms of magnitude μ⁻¹h⁻¹| μ³ h|.
الترجمة العربية
لا توجد ترجمة عربية لهذا البحث بعد. كن أوّل من يطلبها: تستغرق ثوانيَ معدودة، وتُحفظ النتيجة لكل قارئ قادم.