Physics – Quantum Physics
Scientific paper
1999-01-21
Physics
Quantum Physics
4 pages, revtex with epsfig
Scientific paper
We adapt the semiclassical technique, as used in the context of instanton transitions in quantum field theory, to the description of tunneling transmissions at finite energies through potential barriers by complex quantum mechanical systems. Even for systems initially in their ground state, not generally describable in semiclassical terms, the transmission probability has a semiclassical (exponential) form. The calculation of the tunneling exponent uses analytic continuation of degrees of freedom into a complex phase space as well as analytic continuation of the classical equations of motion into the complex time plane. We test this semiclassical technique by comparing its results with those of a computational investigation of the full quantum mechanical system, finding excellent agreement.
Bonini Gian Franco
Cohen Andrew G.
Rebbi Claudio
Rubakov Valerii A.
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