Complex-time approach for semi-classical quantum tunneling

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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9 pages + 3 figures, phyzzx and epsf macros (ps files attached)

Scientific paper

10.1142/S0217732395001253

The complex-time method for quantum tunneling is studied. In one-dimensional
quantum mechanics, we construct a reduction formula for a Green function in the
number of turning points based on the WKB approximation. This formula yields a
series, which can be interpreted as a sum over the complex-time paths. The
weights of the paths are determined.

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