The GL(n,Fp)invariance of the Potts Hamiltonian
After defining a meanfield by arithmetic means, using multiplicative characters of finite fields, its Potts Hamiltonian is exactly computed. Moreover, it proves to be invariant with respect to every change of basis in Fq over the prime field Fp.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1997-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171297000057 |
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| _version_ | 1849397852258697216 |
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| author | Mihai Caragiu Mellita Caragiu |
| author_facet | Mihai Caragiu Mellita Caragiu |
| author_sort | Mihai Caragiu |
| collection | DOAJ |
| description | After defining a meanfield by arithmetic means, using multiplicative characters of finite
fields, its Potts Hamiltonian is exactly computed. Moreover, it proves to be invariant with respect to
every change of basis in Fq over the prime field Fp. |
| format | Article |
| id | doaj-art-a71790106d1241cf9bf790b089cdfbe0 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1997-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-a71790106d1241cf9bf790b089cdfbe02025-08-20T03:38:49ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251997-01-01201333610.1155/S0161171297000057The GL(n,Fp)invariance of the Potts HamiltonianMihai Caragiu0Mellita Caragiu1Department of Mathematics , Penn State University, 218 McAllister Building, University Park, 16802, PA, USADepartment of Physics, "Babes-Bolyai" University, Str. M. Kogalniceanu 1, Cluj-Napoca 3400, RomaniaAfter defining a meanfield by arithmetic means, using multiplicative characters of finite fields, its Potts Hamiltonian is exactly computed. Moreover, it proves to be invariant with respect to every change of basis in Fq over the prime field Fp.http://dx.doi.org/10.1155/S0161171297000057finite fieldscharactersHamiltonian invariance. |
| spellingShingle | Mihai Caragiu Mellita Caragiu The GL(n,Fp)invariance of the Potts Hamiltonian International Journal of Mathematics and Mathematical Sciences finite fields characters Hamiltonian invariance. |
| title | The GL(n,Fp)invariance of the Potts Hamiltonian |
| title_full | The GL(n,Fp)invariance of the Potts Hamiltonian |
| title_fullStr | The GL(n,Fp)invariance of the Potts Hamiltonian |
| title_full_unstemmed | The GL(n,Fp)invariance of the Potts Hamiltonian |
| title_short | The GL(n,Fp)invariance of the Potts Hamiltonian |
| title_sort | gl n fp invariance of the potts hamiltonian |
| topic | finite fields characters Hamiltonian invariance. |
| url | http://dx.doi.org/10.1155/S0161171297000057 |
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