arXiv:hep-th/9411086 · Modern Physics Letters A
COMPLEX-TIME APPROACH FOR SEMICLASSICAL QUANTUM TUNNELING
HIDEAKI AOYAMA, TOSHIYUKI HARANO
Abstract
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.