التفاصيل البيبلوغرافية
| العنوان: |
Resonance free regions in magnetic scattering by two solenoidal fields at large separation |
| المؤلفون: |
Alexandrova, Ivana1 ALEXANDROVAI@ecu.edu, Tamura, Hideo2 tamura@math.okayama-u.ac.jp |
| المصدر: |
Journal of Functional Analysis. Mar2011, Vol. 260 Issue 6, p1836-1885. 50p. |
| مصطلحات موضوعية: |
*SCATTERING (Mathematics), *SOLENOID magnetic fields, *QUANTUM theory, *DIMENSION theory (Algebra), *MAGNETIC resonance, *MATHEMATICAL analysis |
| مستخلص: |
Abstract: We consider the problem of quantum resonances in magnetic scattering by two solenoidal fields at large separation in two dimensions. This system has trapped trajectories oscillating between two centers of the fields. We give a sharp lower bound on resonance widths when the distance between the two centers goes to infinity. The bound is described in terms of backward amplitudes calculated explicitly for scattering by each solenoidal field. The study is based on a new type of complex scaling method. As an application, we also discuss the relation to semiclassical resonances in scattering by two solenoidal fields. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
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