Reflection symmetric Erdelyi-Kober type operators - a quasi-particle interpretation

Richard Herrmann

doi:10.2478/s13540-014-0221-1

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arXiv · 1805.05779

Reflection symmetric Erdelyi-Kober type operators - a quasi-particle interpretation

Richard Herrmann

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Abstract

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.

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Richard Herrmann. 2018-05-12. Reflection symmetric Erdelyi-Kober type operators - a quasi-particle interpretation. https://doi.org/10.2478/s13540-014-0221-1

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