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談話会 (数理談話会・IMI Colloquium)

Quantum dynamics for the molecular predissociation [数理談話会]

開催期間
2015-07-09 16:30~2015-07-09 17:30
場所
九州大学 伊都キャンパス 数理学研究教育棟3階 大講義室2
受講対象
 
講師
Andre Martinez (Bologna 大学)

日時:2015年7月9日 (木)
         16:00~16:30 (ティータイム)
         16:30~17:30 (講演)
 

場所:数理棟 談話室 (ティータイム)
         図書館3階 大講義室2 (講演)


概要:
Abstract: We study the survival probability associated with a semiclassical matrix Schr\"odinger operator that models the predissociation of a general molecule in the Born-Oppenheimer approximation. We show that it is given by its usual time-dependent exponential contribution, up to a reminder term that is exponentially small (in the semiclassical parameter) with arbitrarily large rate of decay. The result applies in any dimension, and in presence of a number of resonances that may tend to infinity as the semiclassical parameter tends to 0. This is a joint work with Ph. Briet.