dorsal/arxiv
View SchemaTunneling of Bound Systems at Finite Energies: Complex Paths Through Potential Barriers
| Authors | G. F. Bonini, A. G. Cohen, C. Rebbi, V. A. Rubakov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9901062 |
| URL | https://arxiv.org/abs/quant-ph/9901062 |
Abstract
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.
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"abstract": "We adapt the semiclassical technique, as used in the context of instanton\ntransitions in quantum field theory, to the description of tunneling\ntransmissions at finite energies through potential barriers by complex quantum\nmechanical systems. Even for systems initially in their ground state, not\ngenerally describable in semiclassical terms, the transmission probability has\na semiclassical (exponential) form. The calculation of the tunneling exponent\nuses analytic continuation of degrees of freedom into a complex phase space as\nwell as analytic continuation of the classical equations of motion into the\ncomplex time plane. We test this semiclassical technique by comparing its\nresults with those of a computational investigation of the full quantum\nmechanical system, finding excellent agreement.",
"arxiv_id": "quant-ph/9901062",
"authors": [
"G. F. Bonini",
"A. G. Cohen",
"C. Rebbi",
"V. A. Rubakov"
],
"categories": [
"quant-ph",
"hep-ph"
],
"title": "Tunneling of Bound Systems at Finite Energies: Complex Paths Through Potential Barriers",
"url": "https://arxiv.org/abs/quant-ph/9901062"
},
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