dorsal/arxiv
View SchemaCovariant EBK quantization of the electromagnetic two-body problem
| Authors | J. De Luca |
|---|---|
| Categories | |
| ArXiv ID | physics/0405065 |
| URL | https://arxiv.org/abs/physics/0405065 |
| DOI | 10.1063/1.1999567 |
Abstract
We discuss a method to transform the covariant Fokker action into an implicit two-degree-of-freedom Hamiltonian for the electromagnetic two-body problem with arbitrary masses. This dynamical system appeared 100 years ago and it was popularized in the 1940's by the still incomplete Wheeler and Feynman program to quantize it as a means to overcome the divergencies of perturbative QED. Our finite-dimensional implicit Hamiltonian is closed and involves no series expansions. The Hamiltonian formalism is then used to motivate an EBK quantization based on the classical trajectories with a non-perturbative formula that predicts energies free of infinities.
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"abstract": "We discuss a method to transform the covariant Fokker action into an implicit\ntwo-degree-of-freedom Hamiltonian for the electromagnetic two-body problem with\narbitrary masses. This dynamical system appeared 100 years ago and it was\npopularized in the 1940\u0027s by the still incomplete Wheeler and Feynman program\nto quantize it as a means to overcome the divergencies of perturbative QED. Our\nfinite-dimensional implicit Hamiltonian is closed and involves no series\nexpansions. The Hamiltonian formalism is then used to motivate an EBK\nquantization based on the classical trajectories with a non-perturbative\nformula that predicts energies free of infinities.",
"arxiv_id": "physics/0405065",
"authors": [
"J. De Luca"
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"doi": "10.1063/1.1999567",
"title": "Covariant EBK quantization of the electromagnetic two-body problem",
"url": "https://arxiv.org/abs/physics/0405065"
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