Reflection symmetric Erdelyi-Kober type operators - a quasi-particle interpretation
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2018
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| _version_ | 1866910931752058880 |
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| author | Herrmann, Richard |
| author_facet | Herrmann, Richard |
| contents | Reflection symmetric Erd$\acute{\text{e}}$lyi-Kober type fractional integral operators are used to construct fractional quasi-particle generators. The eigenfunctions and eigenvalues of these operators are given analytically. A set of fractional creation- and annihilation-operators is defined and the properties of the corresponding free Hamiltonian are investigated. Analogue to the classical approach for interacting multi-particle systems the results are interpreted as a fractional quantum model for a description of residual interactions of pairing type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1805_05779 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Reflection symmetric Erdelyi-Kober type operators - a quasi-particle interpretation Herrmann, Richard General Physics Reflection symmetric Erd$\acute{\text{e}}$lyi-Kober type fractional integral operators are used to construct fractional quasi-particle generators. The eigenfunctions and eigenvalues of these operators are given analytically. A set of fractional creation- and annihilation-operators is defined and the properties of the corresponding free Hamiltonian are investigated. Analogue to the classical approach for interacting multi-particle systems the results are interpreted as a fractional quantum model for a description of residual interactions of pairing type. |
| title | Reflection symmetric Erdelyi-Kober type operators - a quasi-particle interpretation |
| topic | General Physics |
| url | https://arxiv.org/abs/1805.05779 |