13 citations · 15 across the 9 of their papers we have counts for
9 papers
Magnetic flux as a quantized Lorentz pseudoscalar and its relation to electric charge quantization
Cyril Belardinelli
In this paper, we re-examine the well-known question of why electric charges exist only in quantized portions. In this context, we revisit the motion of a charged particle in a fie…
Exact shape of an ideal heavy spring suspended at both ends
Cyril Belardinelli
In the present article we determine the exact shape of an ideal spring suspended at both ends. Historically, this goes under the name of Elastica problem. The total energy of the s…
A short study of generalized Dirichlet Integrals via tempered distributions
Cyril Belardinelli
In the present article, the author uses Fourier theory of tempered distributions (generalized functions) in deriving a formula for Dirichlet-like integrals. The applied method is r…
A novel method of computing the volume of hyperspheres in finite and infinite dimensions
Cyril Belardinelli
In the present article, the volume of the hypersphere in n-dimensional euclidean space is recalculated in a rather original way by using the theory of generalized functions (temper…
Fractional calculus of tempered distributions. A new approach
Cyril Belardinelli
In the present article, a new method for the evaluation of fractional derivatives of arbitrary real order is proposed. Numerous but inequivalent formulations have been given in the…
Generalized Fourier transforms applied to fractional derivatives and Quantum Statistics Distributions
Cyril Belardinelli
In the present article the author extends the Fourier transform to a more general class of functions; First to power-law functions with integer and half-integer exponents then to t…