dorsal/arxiv
View SchemaQuantum Mechanical Reflection Resonances
| Authors | Erica Caden, Robert Gilmore |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0610239 |
| URL | https://arxiv.org/abs/quant-ph/0610239 |
Abstract
Resonances in the reflection probability amplitude r(E) can occur in energy ranges in which the reflection probability R(E)=|r(E)|^2 is 1. They occur as the phase phi(E) defined by r(E) = t*(E)/t(E) = 1e^{i 2phi(E)} undergoes a rapid change of pi radians. During this transition the phase angle exhibits a Lorentzian profile in that d(phi(E))/dE ~= 1/[(E-E_0)^2+(hbar*gamma/2)^2]. The energy E_0 identifies the location of a quasi-bound state, gamma measures the lifetime of this state, and t(E) is a matrix element of the transfer operator. Methods for computing and measuring these resonances are proposed.
{
"annotation_id": "0806cd7c-5984-4f91-81d3-0e5f9d66aa1a",
"date_created": "2026-03-02T18:02:30.554000Z",
"date_modified": "2026-03-02T18:02:30.554000Z",
"file_hash": "8dfae9d41f2073158bec916821386b0cfd897cc8f35ee463920db61f494d569f",
"private": false,
"record": {
"abstract": "Resonances in the reflection probability amplitude r(E) can occur in energy\nranges in which the reflection probability R(E)=|r(E)|^2 is 1. They occur as\nthe phase phi(E) defined by r(E) = t*(E)/t(E) = 1e^{i 2phi(E)} undergoes a\nrapid change of pi radians. During this transition the phase angle exhibits a\nLorentzian profile in that d(phi(E))/dE ~= 1/[(E-E_0)^2+(hbar*gamma/2)^2]. The\nenergy E_0 identifies the location of a quasi-bound state, gamma measures the\nlifetime of this state, and t(E) is a matrix element of the transfer operator.\nMethods for computing and measuring these resonances are proposed.",
"arxiv_id": "quant-ph/0610239",
"authors": [
"Erica Caden",
"Robert Gilmore"
],
"categories": [
"quant-ph"
],
"title": "Quantum Mechanical Reflection Resonances",
"url": "https://arxiv.org/abs/quant-ph/0610239"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "0eef9248-9916-4b6a-ab64-cb3aea6b9b9b",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}