dorsal/arxiv
View SchemaPath Integral Variational Methods for Strongly Correlated Systems
| Authors | T. S. Walhout, R. Cenni, A. Fabrocini, S. Fantoni |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9605009 |
| URL | https://arxiv.org/abs/nucl-th/9605009 |
| DOI | 10.1103/PhysRevC.54.1622 |
| Journal | Phys.Rev.C54:1622-1635,1996 |
Abstract
We introduce a new approach to highly correlated systems which generalizes the Fermi Hypernetted Chain and Correlated Basis Function techniques. While the latter approaches can only be applied to systems for which a nonrelativistic wave function can be defined, the new approach is based on the variation of a trial hamiltonian within a path integral framework and thus can also be applied to relativistic and field theoretical problems. We derive a diagrammatic scheme for the new approach and show how a particular choice of the trial hamiltonian corresponds exactly to the use of a Jastrow correlated ansatz for the wave function in the Fermi Hypernetted Chain approach. We show how our new approach can be used to find upper bounds to ground state energies in systems which the FHNC cannot handle, including those described by an energy-dependent effective hamiltonian. We demonstrate our approach by applying it to a quantum field theoretical system of interacting pions and nucleons.
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"abstract": "We introduce a new approach to highly correlated systems which generalizes\nthe Fermi Hypernetted Chain and Correlated Basis Function techniques. While the\nlatter approaches can only be applied to systems for which a nonrelativistic\nwave function can be defined, the new approach is based on the variation of a\ntrial hamiltonian within a path integral framework and thus can also be applied\nto relativistic and field theoretical problems. We derive a diagrammatic scheme\nfor the new approach and show how a particular choice of the trial hamiltonian\ncorresponds exactly to the use of a Jastrow correlated ansatz for the wave\nfunction in the Fermi Hypernetted Chain approach. We show how our new approach\ncan be used to find upper bounds to ground state energies in systems which the\nFHNC cannot handle, including those described by an energy-dependent effective\nhamiltonian. We demonstrate our approach by applying it to a quantum field\ntheoretical system of interacting pions and nucleons.",
"arxiv_id": "nucl-th/9605009",
"authors": [
"T. S. Walhout",
"R. Cenni",
"A. Fabrocini",
"S. Fantoni"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.54.1622",
"journal_ref": "Phys.Rev.C54:1622-1635,1996",
"title": "Path Integral Variational Methods for Strongly Correlated Systems",
"url": "https://arxiv.org/abs/nucl-th/9605009"
},
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