dorsal/arxiv
View SchemaThe unitary transformation of the path-integral measure
| Authors | J. Manjavidze |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9507003 |
| URL | https://arxiv.org/abs/quant-ph/9507003 |
Abstract
The aim of the article is to show how a coordinate transformation can be applied to the path-integral formalism. For this purpose the unitary definition of the quantum measure, which guarantees the conservation of total probability, is offered. As the examples, the phase space transformation to the canonically conjugate pare $(energy, time)$ and the transformation to the cylindrical coordinates are shown. The transformations of the path-integral measure looks classically but they can not be deduced from naive transformations of quantum trajectories.
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"abstract": "The aim of the article is to show how a coordinate transformation can be\napplied to the path-integral formalism. For this purpose the unitary definition\nof the quantum measure, which guarantees the conservation of total probability,\nis offered. As the examples, the phase space transformation to the canonically\nconjugate pare $(energy, time)$ and the transformation to the cylindrical\ncoordinates are shown. The transformations of the path-integral measure looks\nclassically but they can not be deduced from naive transformations of quantum\ntrajectories.",
"arxiv_id": "quant-ph/9507003",
"authors": [
"J. Manjavidze"
],
"categories": [
"quant-ph"
],
"title": "The unitary transformation of the path-integral measure",
"url": "https://arxiv.org/abs/quant-ph/9507003"
},
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