Weyl quantization of fractional derivatives

DOI10.1063/1.3009533zbMath1152.81617arXiv0907.2699OpenAlexW2090372258MaRDI QIDQ5505064

Vasily E. Tarasov

Publication date: 23 January 2009

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.2699

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Applications of operator theory in the physical sciences (47N50) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Related Items (5)

Fractional derivative regularization in QFT ⋮ Quantum dissipation from power-law memory ⋮ REVIEW OF SOME PROMISING FRACTIONAL PHYSICAL MODELS ⋮ Lattice fractional quantum field theory: Exact differences approach ⋮ Fractional quantum field theory: from lattice to continuum

Cites Work

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• Map of discrete system into continuous
• Advances in Fractional Calculus
• Quantization of non-Hamiltonian and dissipative systems
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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