dorsal/arxiv
View SchemaRepresentation of a complex Green function on a real basis: I. General Theory
| Authors | Robin Shakeshaft, Bernard Piraux |
|---|---|
| Categories | |
| ArXiv ID | physics/9909028 |
| URL | https://arxiv.org/abs/physics/9909028 |
| DOI | 10.1103/PhysRevA.62.062705 |
Abstract
When the Hamiltonian of a system is represented by a finite matrix, constructed from a discrete basis, the matrix representation of the resolvent covers only one branch. We show how all branches can be specified by the phase of a complex unit of time. This permits the Hamiltonian matrix to be constructed on a real basis; the only duty of the basis is to span the dynamical region of space, without regard for the particular asymptotic boundary conditions that pertain to the problem of interest.
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"abstract": "When the Hamiltonian of a system is represented by a finite matrix,\nconstructed from a discrete basis, the matrix representation of the resolvent\ncovers only one branch. We show how all branches can be specified by the phase\nof a complex unit of time. This permits the Hamiltonian matrix to be\nconstructed on a real basis; the only duty of the basis is to span the\ndynamical region of space, without regard for the particular asymptotic\nboundary conditions that pertain to the problem of interest.",
"arxiv_id": "physics/9909028",
"authors": [
"Robin Shakeshaft",
"Bernard Piraux"
],
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"doi": "10.1103/PhysRevA.62.062705",
"title": "Representation of a complex Green function on a real basis: I. General Theory",
"url": "https://arxiv.org/abs/physics/9909028"
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