A Quantum Model of Feshbach Resonances

被引：2
作者：
Carlone, R. [1 ]
Correggi, M. [2 ]
Finco, D. [3 ]
Teta, A. [2 ]
机构：
[1] Univ Napoli Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, Via Cinthia, I-80126 Naples, Italy
[2] Sapienza Univ Roma, Dipartimento Matemat, Ple A Moro 5, I-00185 Rome, Italy
[3] Univ Telemat Int Uninettuno, Fac Ingn, Corso V Emanuele 2 39, I-00186 Rome, Italy
来源：
ANNALES HENRI POINCARE | 2019年 / 20卷 / 09期
关键词：
FERMI GOLDEN-RULE; SCHRODINGER-OPERATORS; THRESHOLD; STATES; DECAY;
D O I：
10.1007/s00023-019-00813-3
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider a quantum model of two-channel scattering to describe the mechanism of a Feshbach resonance. We perform a rigorous analysis in order to count and localize the energy resonances in the perturbative regime, i.e., for small inter-channel coupling, and in the non-perturbative one. We provide an expansion of the effective scattering length near the resonances, via a detailed study of an effective Lippmann-Schwinger equation with energy-dependent potential.
引用
收藏
页码：2899 / 2935
页数：37
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