A class of solvable models in Condensed Matter Physics
In this paper, we show that there is a large class of fermionic systems for which it is possible to find, for any dimension, a finite closed set of eigenoperators and eigenvalues of the Hamiltonian. Then, the hierarchy of the equations of motion closes and analytical expressions for the Green’s fu...
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| Published in: | Condensed Matter Physics |
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| Date: | 2006 |
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| Format: | Article |
| Language: | English |
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Інститут фізики конденсованих систем НАН України
2006
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/121329 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | A class of solvable models in Condensed Matter Physics / F. Mancini // Condensed Matter Physics. — 2006. — Т. 9, № 2(46). — С. 393–402. — Бібліогр.: 13 назв. — англ. |
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Mancini, F. 2017-06-14T05:59:28Z 2017-06-14T05:59:28Z 2006 A class of solvable models in Condensed Matter Physics / F. Mancini // Condensed Matter Physics. — 2006. — Т. 9, № 2(46). — С. 393–402. — Бібліогр.: 13 назв. — англ. 1607-324X PACS: 71.10.-w, 71.10.Fd, 71.27.+a DOI:10.5488/CMP.9.2.393 https://nasplib.isofts.kiev.ua/handle/123456789/121329 In this paper, we show that there is a large class of fermionic systems for which it is possible to find, for any dimension, a finite closed set of eigenoperators and eigenvalues of the Hamiltonian. Then, the hierarchy of the equations of motion closes and analytical expressions for the Green’s functions are obtained in terms of a finite number of parameters, to be self-consistently determined. Several examples are given. In particular, for these examples it is shown that in the one-dimensional case it is possible to derive by means of algebraic constraints a set of equations which allow us to determine the self-consistent parameters and to obtain a complete exact solution. en Інститут фізики конденсованих систем НАН України Condensed Matter Physics A class of solvable models in Condensed Matter Physics Клас розв'язуваних моделей у фізиці конденсованого стану Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
A class of solvable models in Condensed Matter Physics |
| spellingShingle |
A class of solvable models in Condensed Matter Physics Mancini, F. |
| title_short |
A class of solvable models in Condensed Matter Physics |
| title_full |
A class of solvable models in Condensed Matter Physics |
| title_fullStr |
A class of solvable models in Condensed Matter Physics |
| title_full_unstemmed |
A class of solvable models in Condensed Matter Physics |
| title_sort |
class of solvable models in condensed matter physics |
| author |
Mancini, F. |
| author_facet |
Mancini, F. |
| publishDate |
2006 |
| language |
English |
| container_title |
Condensed Matter Physics |
| publisher |
Інститут фізики конденсованих систем НАН України |
| format |
Article |
| title_alt |
Клас розв'язуваних моделей у фізиці конденсованого стану |
| description |
In this paper, we show that there is a large class of fermionic systems for which it is possible to find, for any
dimension, a finite closed set of eigenoperators and eigenvalues of the Hamiltonian. Then, the hierarchy of
the equations of motion closes and analytical expressions for the Green’s functions are obtained in terms of
a finite number of parameters, to be self-consistently determined. Several examples are given. In particular,
for these examples it is shown that in the one-dimensional case it is possible to derive by means of algebraic
constraints a set of equations which allow us to determine the self-consistent parameters and to obtain a
complete exact solution.
|
| issn |
1607-324X |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/121329 |
| citation_txt |
A class of solvable models in Condensed Matter Physics / F. Mancini // Condensed Matter Physics. — 2006. — Т. 9, № 2(46). — С. 393–402. — Бібліогр.: 13 назв. — англ. |
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AT mancinif aclassofsolvablemodelsincondensedmatterphysics AT mancinif klasrozvâzuvanihmodeleiufízicíkondensovanogostanu AT mancinif classofsolvablemodelsincondensedmatterphysics |
| first_indexed |
2025-12-07T20:38:21Z |
| last_indexed |
2025-12-07T20:38:21Z |
| _version_ |
1850883337111994368 |