dorsal/arxiv
View SchemaLagrangian in quantum mechanics is a connection one-form
| Authors | Pankaj Sharan, Pravabati Chingangbam |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0301133 |
| URL | https://arxiv.org/abs/quant-ph/0301133 |
Abstract
We recast Dirac's Lagrangian in quantum mechanics in the language of vector bundles and show that the action is an operator-valued connection one-form. Phases associated with change of frames of reference are seen to be total differentials in the transformation of the action. The relativistic case is discussed and we show that it gives the correct phase in the non-relativistic limit for uniform acceleration.
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"abstract": "We recast Dirac\u0027s Lagrangian in quantum mechanics in the language of vector\nbundles and show that the action is an operator-valued connection one-form.\nPhases associated with change of frames of reference are seen to be total\ndifferentials in the transformation of the action. The relativistic case is\ndiscussed and we show that it gives the correct phase in the non-relativistic\nlimit for uniform acceleration.",
"arxiv_id": "quant-ph/0301133",
"authors": [
"Pankaj Sharan",
"Pravabati Chingangbam"
],
"categories": [
"quant-ph",
"hep-th",
"math-ph",
"math.MP"
],
"title": "Lagrangian in quantum mechanics is a connection one-form",
"url": "https://arxiv.org/abs/quant-ph/0301133"
},
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