dorsal/arxiv
View SchemaHyperspherical Adiabatic Formalism of the Boltzmann Third Virial
| Authors | Sigurd Yves Larsen |
|---|---|
| Categories | |
| ArXiv ID | physics/0105074 |
| URL | https://arxiv.org/abs/physics/0105074 |
Abstract
First, we show that, if there are no bound states, we can express the q.m. third cluster - involving 3 and fewer particles in Statistical Mechanics - as a formula involving adiabatic eigenphase shifts. This is for Boltzmann statistics. From this q.m. formulation, in the case of purely repulsive forces, we recover, as h goes to 0, the classical expressions for the cluster. We then discuss difficulties which arise in the presence of 2-body bound states and present a tentative formula involving eigenphase shifts and the 2 and 3 body bound state energies. We emphasize that important difficulties have not been resolved.
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"date_created": "2026-03-02T18:00:35.587000Z",
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"abstract": "First, we show that, if there are no bound states, we can express the q.m.\nthird cluster - involving 3 and fewer particles in Statistical Mechanics - as a\nformula involving adiabatic eigenphase shifts. This is for Boltzmann\nstatistics.\n From this q.m. formulation, in the case of purely repulsive forces, we\nrecover, as h goes to 0, the classical expressions for the cluster.\n We then discuss difficulties which arise in the presence of 2-body bound\nstates and present a tentative formula involving eigenphase shifts and the 2\nand 3 body bound state energies. We emphasize that important difficulties have\nnot been resolved.",
"arxiv_id": "physics/0105074",
"authors": [
"Sigurd Yves Larsen"
],
"categories": [
"physics.chem-ph",
"physics.gen-ph"
],
"title": "Hyperspherical Adiabatic Formalism of the Boltzmann Third Virial",
"url": "https://arxiv.org/abs/physics/0105074"
},
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