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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| Date: | 2006 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут фізики конденсованих систем НАН України
2006
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| Series: | Condensed Matter Physics |
| Online Access: | http://dspace.nbuv.gov.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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | 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. |
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