A SUB-LOGARITHMIC LOWER BOUND FOR RESONANCE COUNTING FUNCTION IN TWO-DIMENSIONAL POTENTIAL SCATTERING

作者：Chen Lung Hui^*

来源：Reports on Mathematical Physics, 2010, 65(2): 157-164.

DOI：10.1016/S0034-4877(10)00013-3

• resonance lower bound
• potential scattering
• existence of resonance
• trace formula

We use the Phragmen-Lindelof theorem in complex analysis to estimate the number of resonances of Schrodinger equation. We obtain a sub-logarithmic lower bound.

• 出版日期2010-4-10