dorsal/arxiv
View SchemaComments on a bound state model for a two body system
| Authors | L. Micu |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0602104 |
| URL | https://arxiv.org/abs/quant-ph/0602104 |
Abstract
We show that in classical mechanics, as well as in nonrelativistic quantum mechanics the equation of the relative motion for a two-body bound system at rest can be replaced by individual dynamical equations of the same kind as the first one, but with different parameters. We assume that in relativistic quantum mechanics the individual equations are Dirac equations with modified parameters in agreement with the individual Schr\"odinger equations. We find that products of solutions to the individual equations with correlated arguments are the quantum analogues of the classical representation of a bound system and represent suitable models for the bound state wave functions. As validity test for the new representation of bound states we suggest to use some observable differences between this one and the representation in terms of relative coordinates.
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"abstract": "We show that in classical mechanics, as well as in nonrelativistic quantum\nmechanics the equation of the relative motion for a two-body bound system at\nrest can be replaced by individual dynamical equations of the same kind as the\nfirst one, but with different parameters. We assume that in relativistic\nquantum mechanics the individual equations are Dirac equations with modified\nparameters in agreement with the individual Schr\\\"odinger equations. We find\nthat products of solutions to the individual equations with correlated\narguments are the quantum analogues of the classical representation of a bound\nsystem and represent suitable models for the bound state wave functions. As\nvalidity test for the new representation of bound states we suggest to use some\nobservable differences between this one and the representation in terms of\nrelative coordinates.",
"arxiv_id": "quant-ph/0602104",
"authors": [
"L. Micu"
],
"categories": [
"quant-ph",
"hep-ph"
],
"title": "Comments on a bound state model for a two body system",
"url": "https://arxiv.org/abs/quant-ph/0602104"
},
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"type": "Model",
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