dorsal/arxiv
View SchemaTransmission through a potential barrier in quantum mechanics of multiple degrees of freedom: complex way to the top
| Authors | F. Bezrukov, D. Levkov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0301022 |
| URL | https://arxiv.org/abs/quant-ph/0301022 |
Abstract
A semiclassical method for the calculation of tunneling exponent in systems with many degrees of freedom is developed. We find that corresponding classical solution as function of energy form several branches joint by bifurcation points. A regularization technique is proposed, which enables one to choose physically relevant branches of solutions everywhere in the classically forbidden region and also in the allowed region. At relatively high energy the physical branch describes tunneling via creation of a classical state, close to the top of the barrier. The method is checked against exact solutions of the Schrodinger equation in a quantum mechanical system of two degrees of freedom.
{
"annotation_id": "ba6bfd0c-d8ed-498f-8405-0f71f9fcac12",
"date_created": "2026-03-02T18:01:56.183000Z",
"date_modified": "2026-03-02T18:01:56.183000Z",
"file_hash": "94dffa17f00708479f154241608b7d78d994a2777eb471e4ab956cf12a57e686",
"private": false,
"record": {
"abstract": "A semiclassical method for the calculation of tunneling exponent in systems\nwith many degrees of freedom is developed. We find that corresponding classical\nsolution as function of energy form several branches joint by bifurcation\npoints. A regularization technique is proposed, which enables one to choose\nphysically relevant branches of solutions everywhere in the classically\nforbidden region and also in the allowed region. At relatively high energy the\nphysical branch describes tunneling via creation of a classical state, close to\nthe top of the barrier. The method is checked against exact solutions of the\nSchrodinger equation in a quantum mechanical system of two degrees of freedom.",
"arxiv_id": "quant-ph/0301022",
"authors": [
"F. Bezrukov",
"D. Levkov"
],
"categories": [
"quant-ph",
"hep-ph",
"hep-th"
],
"title": "Transmission through a potential barrier in quantum mechanics of multiple degrees of freedom: complex way to the top",
"url": "https://arxiv.org/abs/quant-ph/0301022"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "d848128e-69b8-4ae3-a9f4-da59b5a67905",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}