dorsal/arxiv
View SchemaLevy Flights over Quantum Paths
| Authors | Nick Laskin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0504106 |
| URL | https://arxiv.org/abs/quant-ph/0504106 |
Abstract
An impact of integration over the paths of the Levy flights on the quantum mechanical kernel has been studied. Analytical expression for a free particle kernel has been obtained in terms of the Fox H-function. A new equation for the kernel of a partical in the box has been found. New general results include the well known quantum formulae for a free particle kernel and particle in box kernel.
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"abstract": "An impact of integration over the paths of the Levy flights on the quantum\nmechanical kernel has been studied. Analytical expression for a free particle\nkernel has been obtained in terms of the Fox H-function. A new equation for the\nkernel of a partical in the box has been found. New general results include the\nwell known quantum formulae for a free particle kernel and particle in box\nkernel.",
"arxiv_id": "quant-ph/0504106",
"authors": [
"Nick Laskin"
],
"categories": [
"quant-ph"
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"title": "Levy Flights over Quantum Paths",
"url": "https://arxiv.org/abs/quant-ph/0504106"
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