dorsal/arxiv
View SchemaPath Integral Solution by Sum Over Perturbation Series
| Authors | De-Hone Lin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9909050 |
| URL | https://arxiv.org/abs/quant-ph/9909050 |
| DOI | 10.1063/1.533266 |
Abstract
A method for calculating the relativistic path integral solution via sum over perturbation series is given. As an application the exact path integral solution of the relativistic Aharonov-Bohm-Coulomb system is obtained by the method. Different from the earlier treatment based on the space-time transformation and infinite multiple-valued trasformation of Kustaanheimo-Stiefel in order to perform path integral, the method developed in this contribution involves only the explicit form of a simple Green's function and an explicit path integral is avoided.
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"abstract": "A method for calculating the relativistic path integral solution via sum over\nperturbation series is given. As an application the exact path integral\nsolution of the relativistic Aharonov-Bohm-Coulomb system is obtained by the\nmethod. Different from the earlier treatment based on the space-time\ntransformation and infinite multiple-valued trasformation of\nKustaanheimo-Stiefel in order to perform path integral, the method developed in\nthis contribution involves only the explicit form of a simple Green\u0027s function\nand an explicit path integral is avoided.",
"arxiv_id": "quant-ph/9909050",
"authors": [
"De-Hone Lin"
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"categories": [
"quant-ph"
],
"doi": "10.1063/1.533266",
"title": "Path Integral Solution by Sum Over Perturbation Series",
"url": "https://arxiv.org/abs/quant-ph/9909050"
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