dorsal/arxiv
View SchemaNew representation of orbital motion with arbitrary angular momenta
| Authors | Y. Suzuki, J. Usukura, K. Varga |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9701030 |
| URL | https://arxiv.org/abs/nucl-th/9701030 |
| DOI | 10.1088/0953-4075/31/1/007 |
Abstract
A new formulation is presented for a variational calculation of $N$-body systems on a correlated Gaussian basis with arbitrary angular momenta. The rotational motion of the system is described with a single spherical harmonic of the total angular momentum $L$, and thereby needs no explicit coupling of partial waves between particles. A simple generating function for the correlated Gaussian is exploited to derive the matrix elements. The formulation is applied to various Coulomb three-body systems such as $e^-e^-e^+, tt\mu, td\mu$, and $\alpha e^-e^-$ up to $L=4$ in order to show its usefulness and versatility. A stochastic selection of the basis functions gives good results for various angular momentum states.
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"abstract": "A new formulation is presented for a variational calculation of $N$-body\nsystems on a correlated Gaussian basis with arbitrary angular momenta. The\nrotational motion of the system is described with a single spherical harmonic\nof the total angular momentum $L$, and thereby needs no explicit coupling of\npartial waves between particles. A simple generating function for the\ncorrelated Gaussian is exploited to derive the matrix elements. The formulation\nis applied to various Coulomb three-body systems such as $e^-e^-e^+, tt\\mu,\ntd\\mu$, and $\\alpha e^-e^-$ up to $L=4$ in order to show its usefulness and\nversatility. A stochastic selection of the basis functions gives good results\nfor various angular momentum states.",
"arxiv_id": "nucl-th/9701030",
"authors": [
"Y. Suzuki",
"J. Usukura",
"K. Varga"
],
"categories": [
"nucl-th"
],
"doi": "10.1088/0953-4075/31/1/007",
"title": "New representation of orbital motion with arbitrary angular momenta",
"url": "https://arxiv.org/abs/nucl-th/9701030"
},
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