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

DOI10.2478/s13540-014-0221-1zbMath1312.26014arXiv1805.05779OpenAlexW1990220497MaRDI QIDQ2347235

Richard Herrmann

Publication date: 27 May 2015

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.05779

zbMATH Keywords

Fock spacefractional operatorsgeneralized fractional calculusquasiparticleErdélyi-Kober integralspairing-Hamiltonianshifted Riesz integrals

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Supersymmetry and quantum mechanics (81Q60) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

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Cites Work

• L'intégrale de Riemann-Liouville et le problème de Cauchy
• Towards a geometric interpretation of generalized fractional integrals — Erdélyi-Kober type integrals on R N , as an example
• Bound Electron Pairs in a Degenerate Fermi Gas
• Significance of Electromagnetic Potentials in the Quantum Theory
• A Rate-Independent Model for Inelastic Behavior of Shape-Memory Alloys
• Erdélyi-Kober fractional diffusion
• Fractional Calculus
• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
• ON FRACTIONAL INTEGRATION AND ITS APPLICATION TO THE THEORY OF HANKEL TRANSFORMS
• Theory of Superconductivity
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