1 citations · 1 across the 7 of their papers we have counts for
8 papers
p-Adic Dirac Equations, Continuous-Time Quantum Walks, and Quantum Networks
W. A. Zúñiga-Galindo
We introduce a new class of p-adic Dirac equations, formulated in the standard axiomatic framework of quantum mechanics, in which the ordinary momentum operators are replaced by bo…
Pseudo-Traveling Waves and Bumps in Quantum and Classical Hierarchical Cellular Neural Networks
W. A. Zúñiga-Galindo, B. A. Zambrano-Luna, Chayapuntika Indoung
We study the existence of pseudo-traveling waves and bump solutions for two classes of hierarchical cellular neural networks (CNNs) defined over the ring of -adic integers $\mat…
Pattern Formation in Quantum Hierarchical Cellular Neural Networks
W. A. Zúñiga-Galindo, B. A. Zambrano-Luna, Chayapuntika Indoung
We present a new class of quantum neural networks (QNNs) whose states are solutions of -adic Schrödinger equations with a non-local potential that controls the interaction betwe…
p-Adic quantum mechanics, infinite potential wells, and continuous-time quantum walks
W. A. Zúñiga-Galindo, Nathaniel P. Mayes
This article discusses a p-adic version of the infinite potential well in quantum mechanics (QM). This model describes the confinement of a particle in a p-adic ball. We rigorously…
Dynamic Mean-Field Theory for Continuous Random Networks
W. A. Zúñiga-Galindo
This article studies the dynamics of the mean-field approximation of continuous random networks. These networks are stochastic integrodifferential equations driven by Gaussian nois…
p-Adic Quantum Mechanics, the Dirac Equation, and the violation of Einstein causality
W. A. Zúñiga-Galindo
This article studies the breaking of the Lorentz symmetry at the Planck length in quantum mechanics. We use three-dimensional p-adic vectors as position variables, while the time r…
The p-Adic Schrödinger Equation and the Two-slit Experiment in Quantum Mechanics
W. A. Zúñiga-Galindo
p-Adic quantum mechanics is constructed from the Dirac-von Neumann axioms identifying quantum states with square-integrable functions on the N-dimensional p-adic space. This choice…
A Correspondence Between Deep Boltzmann Machines and p-Adic Statistical Field Theories
W. A. Zúñiga-Galindo
There is a strong interest in studying the correspondence between Euclidean quantum fields and neural networks. This correspondence takes different forms depending on the type of n…