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Advances in Applied Clifford Algebras(3)
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A Cauchy-Pompeiu Representation Formula Using Dirac Operator and its Applications in Some Piecewise Constant Structure Relations
ArticleAbstract: In the present paper we use the piecewise constant structure relations of a Clifford algebra in ordePalabras claves:Cauchy-Pompeiu Formula, Clifford analysis, fundamental solution, Integral representation, Structure relations of Clifford algebraAutores:Antonio Nicola Di Teodoro, Infante A.Fuentes:scopusA Modified Dirac Operator in Parameter–Dependent Clifford Algebra: A Physical Realization
ArticleAbstract: In the present paper we introduce a modified Dirac operator and solve the associated Dirichlet boundPalabras claves:Clifford–type algebras, Depending on parametersalgebras, Dirac operator, Dirichlet problem, Monogenic functionsAutores:Alexander Lopez, Antonio Di Teodoro, Antonio Nicola Di Teodoro, Franquiz R.Fuentes:googlescopusFundamental Solution for Natural Powers of the Fractional Laplace and Dirac Operators in the Riemann–Liouville Sense
ArticleAbstract: In this paper, we study the fundamental solution of natural powers of the n-parameter fractional LapPalabras claves:Fractional Clifford analysis, fractional derivatives, fundamental solution, Laplace transform, Poisson’s equationAutores:Antonio Nicola Di Teodoro, Ferreira M., Vieira N.Fuentes:scopusLaser-induced modulation of the Landau level structure in single-layer graphene
ArticleAbstract: We present perturbative analytical results of the Landau level quasienergy spectrum, autocorrelationPalabras claves:Autores:Alexander Lopez, Antonio Di Teodoro, Antonio Nicola Di Teodoro, Berche B., Santos B., Schliemann J.Fuentes:googlescopus