abstract

• Quantum tunneling through a nonstationary barrier is studied analytically and by a direct numerical solution of Schrödinger equation. Both methods are in agreement and say that the main features of the phenomenon can be described in terms of classical trajectories which are solutions of Newton%27s equation in complex time. The probability of tunneling is governed by analytical properties of a time-dependent perturbation and the classical trajectory in the plane of complex time. Some preliminary numerical calculations of Euclidean resonance (an easy penetration through a classical nonstationary barrier due to an underbarrier interference) are presented. © 2007 The American Physical Society.
• Quantum tunneling through a nonstationary barrier is studied analytically and by a direct numerical solution of Schrödinger equation. Both methods are in agreement and say that the main features of the phenomenon can be described in terms of classical trajectories which are solutions of Newton's equation in complex time. The probability of tunneling is governed by analytical properties of a time-dependent perturbation and the classical trajectory in the plane of complex time. Some preliminary numerical calculations of Euclidean resonance (an easy penetration through a classical nonstationary barrier due to an underbarrier interference) are presented. © 2007 The American Physical Society.

authors

• Ivlev Boris
• Palomares-Báez J.P.
• Rodríguez-López J.L.

publication date

• 2007-01-01

published in

• Physical Review A - Atomic, Molecular, and Optical Physics  Journal

keywords

• Newton-Raphson method; Numerical methods; Perturbation techniques; Probability; Schrodinger equation; Euclidean resonance; Newton's equation; Quantum tunneling; Electron tunneling

Digital Object Identifier (DOI)

• 10.1103/PhysRevA.76.052103

start page

end page

volume

• 76

issue

• 5