| Full text | |
| Author(s): |
Faustino, N.
Total Authors: 1
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| Document type: | Journal article |
| Source: | Applied Mathematics and Computation; v. 315, p. 531-548, DEC 15 2017. |
| Web of Science Citations: | 0 |
| Abstract | |
We present and study a new class of Fock states underlying to discrete electromagnetic Schrodinger operators from a multivector calculus perspective. This naturally lead to hypercomplex versions of Poisson-Charlier polynomials, Meixner polynomials, among other ones. The foundations of this work are based on the exploitation of the quantum probability formulation a la Dirac' to the setting of Bayesian probabilities, on which the Fock states arise as discrete quasi-probability distributions carrying a set of independent and identically distributed (i.i.d) random variables. By employing Mellin-Barnes integrals in the complex plane we obtain counterparts for the well-known multidimensional Poisson and hypergeometric distributions, as well as quasi-probability distributions that may take negative or complex values on the lattice hZ(n). (C) 2017 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 13/07590-8 - Applications of discrete Clifford calculus in field theories |
| Grantee: | Nelson José Rodrigues Faustino |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |