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math-ph2007★ 65 cited
Gauge invariance in fractional field theories
Richard Herrmann
The principle of local gauge invariance is applied to fractional wave equations and the interaction term is determined up to order in the coupling constant .…
math-ph2005
Properties of a fractional derivative Schroedinger type wave equation and a new interpretation of the charmonium spectrum
Richard Herrmann
Based on the Caputo fractional derivative the classical, non relativistic Hamiltonian is quantized leading to a fractional Schroedinger type wave equation. The free particle soluti…