10-33 Vasile Gradinaru, George A. Hagedorn, Alain Joye

Tunneling dynamics and spawning with adaptive semi-classical wave-packets (819K, pdf) Feb 9, 10

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Abstract. Tunneling through a one-dimensional Eckart barrier is investigated using a recently developed propagation scheme based on semi-classical wave-packets. This version of the time-dependent discrete variable representation method yields linear equations for the parameters, is fully adaptive, and does not require a frozen Ansatz in order to approximate the exact solution of the Schr\"odinger equation accurately. We rely on an analytical result to derive a new algorithm to spawn a second family of semi-classical wave-packets after the tunneling has occurred. Numerical results for a benchmark problem demonstrate the accuracy of the new method.

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