dorsal/arxiv
View SchemaVariational Estimates using a Discrete Variable Representation
| Authors | M. Lombardi, P. Barletta, A. Kievsky |
|---|---|
| Categories | |
| ArXiv ID | physics/0403071 |
| URL | https://arxiv.org/abs/physics/0403071 |
| DOI | 10.1103/PhysRevA.70.032503 |
Abstract
The advantage of using a Discrete Variable Representation (DVR) is that the Hamiltonian of two interacting particles can be constructed in a very simple form. However the DVR Hamiltonian is approximate and, as a consequence, the results cannot be considered as variational ones. We will show that the variational character of the results can be restored by performing a reduced number of integrals. In practice, for a variational description of the lowest n bound states only n(n+1)/2 integrals are necessary whereas D(D+1)/2 integrals are enough for the scattering states (D is the dimension of the S matrix). Applications of the method to the study of dimers of He, Ne and Ar, for both bound and scattering states, are presented.
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"abstract": "The advantage of using a Discrete Variable Representation (DVR) is that the\nHamiltonian of two interacting particles can be constructed in a very simple\nform. However the DVR Hamiltonian is approximate and, as a consequence, the\nresults cannot be considered as variational ones. We will show that the\nvariational character of the results can be restored by performing a reduced\nnumber of integrals.\n In practice, for a variational description of the lowest n bound states only\nn(n+1)/2 integrals are necessary whereas D(D+1)/2 integrals are enough for the\nscattering states (D is the dimension of the S matrix). Applications of the\nmethod to the study of dimers of He, Ne and Ar, for both bound and scattering\nstates, are presented.",
"arxiv_id": "physics/0403071",
"authors": [
"M. Lombardi",
"P. Barletta",
"A. Kievsky"
],
"categories": [
"physics.atm-clus",
"nucl-th"
],
"doi": "10.1103/PhysRevA.70.032503",
"title": "Variational Estimates using a Discrete Variable Representation",
"url": "https://arxiv.org/abs/physics/0403071"
},
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