Multidimensional tunneling between potential wells at non degenerate minima

Anatoly Anikin (1) , Michel Rouleux (2, 3)

1 MIPT - Moscow Institute of Physics and Technology [Moscow]
2 CPT - E8 Dynamique quantique et analyse spectrale
3 CPT - Centre de Physique Théorique - UMR 7332

We consider tunneling between symmetric wells for a 2-D semi-classical Schrödinger operator for energies close to the quadratic minimum of the potential V in two cases: (1) excitations of the lowest frequency in the harmonic oscillator approximation of V; (2) more general excited states from Diophantine tori with comparable quantum numbers.

Domaines: Physique mathématique [math-ph]

Anatoly Anikin, Michel Rouleux. Multidimensional tunneling between potential wells at non degenerate minima. Days on Diffraction 2014, May 2014, St. Petersburg, Russia. pp.17-22, ⟨10.1109/DD.2014.7036416⟩. ⟨hal-01264862⟩