Physics – Quantum Physics
Scientific paper
2003-12-16
J.Exp.Theor.Phys.98:820-836,2004; Zh.Eksp.Teor.Fiz.125:938-956,2004
Physics
Quantum Physics
16 pages, 9 figures, version to appear in JETP
Scientific paper
10.1134/1.1757681
A semiclassical method of complex trajectories for the calculation of the tunneling exponent in systems with many degrees of freedom is further developed. It is supplemented with an easily implementable technique, which enables one to single out the physically relevant trajectory from the whole set of complex classical trajectories. The method is applied to semiclassical transitions of a bound system through a potential barrier. We find that the properties of physically relevant complex trajectories are qualitatively different in the cases of potential tunneling at low energy and dynamical tunneling at energies exceeding the barrier height. Namely, in the case of high energies, the physically relevant complex trajectories describe tunneling via creation of a state close to the top of the barrier. The method is checked against exact solutions of the Schrodinger equation in a quantum mechanical system of two degrees of freedom.
Bezrukov Fedor
Levkov D.
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