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Resonance widths in a case of multidimensional phase space tunneling

Resonance widths in a case of multidimensional phase space tunneling

Motivated by the study of resonances for molecular systems in the Bornā€“Oppenheimer approximation, we consider a semiclassical 2 Ɨ 2 matrix Schrodinger operator of the form P = āˆ’hĪ”I2 + diag(xn āˆ’ Ī¼, Ļ„V2(x)) + hR(x,hDx), where Ī¼ and Ļ„ are two small positive constants, V2 is real-analytic and admits ā€¦