Title :
Multidimensional tunneling between potential wells at non degenerate minima
Author :
Anikin, Anatoly ; Rouleux, Michel
Author_Institution :
Moscow Inst. of Phys. & Technol., Moscow, Russia
Abstract :
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.
Keywords :
Schrodinger equation; excited states; harmonic oscillators; quantum theory; tunnelling; 2D semiclassical Schrodinger operator; Diophantine tori; excited states; harmonic oscillator approximation; multidimensional tunneling; nondegenerate minima; potential wells; quadratic minimum; quantum numbers; symmetric wells; Approximation methods; Diffraction; Eigenvalues and eigenfunctions; Harmonic analysis; Manifolds; Orbits; Tunneling;
Conference_Titel :
Days on Diffraction (DD), 2014
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4799-7331-6
DOI :
10.1109/DD.2014.7036416
