A5017375342- Quantum Computing Algorithms and Architecture
- Quantum chaos and dynamical systems
- Quantum Mechanics and Applications
- Quantum optics and atomic interactions
- Quantum Mechanics and Non-Hermitian Physics
- Quantum Information and Cryptography
- Random lasers and scattering media
- Complex Systems and Time Series Analysis
- Cold Atom Physics and Bose-Einstein Condensates
- Nonlinear Photonic Systems
- Semiconductor Quantum Structures and Devices
- Mathematical functions and polynomials
- Game Theory and Applications
- Optical Polarization and Ellipsometry
- Numerical methods in engineering
- Microwave Engineering and Waveguides
- Photonic and Optical Devices
- Advanced Mathematical Physics Problems
- Scientific Research and Discoveries
- Plasmonic and Surface Plasmon Research
- Fractional Differential Equations Solutions
- Black Holes and Theoretical Physics
- Electromagnetic Simulation and Numerical Methods
- Computability, Logic, AI Algorithms
- Numerical methods in inverse problems
Centro Brasileiro de Pesquisas Físicas
2025
Universidade Federal do Paraná
2024
Universidade Federal Fluminense
2018-2022
We present an exact solution to the Lippmann-Schwinger equation for a two-dimensional circular billiard. After diagonalizing integral operator whose kernel is zeroth order Hankel function of first kind, we use its eigenfunctions and eigenvalues obtain in straightforward way wavefunctions referred equation.
We solve analytically the Lippmann–Schwinger equation for a linear potential. As an application of this result we investigate two-dimensional scattering scalar particle by potential and arbitrary barrier modeled as boundary-wall.
We present exact solutions for the Lippmann–Schwinger equation in two dimensions circular boundary walls three cases: (i) a finite number N of concentric barriers; (ii) single barrier with Dirac delta derivatives, sense distribution theory, namely, angular, normal, and along curve; (iii) an arbitrary distribution. As application this last result, we obtain conditions that must be fulfilled order to become invisible.
Abstract We investigate the scattering of a plane wave in hyperbolic plane. formulate problem terms Lippmann-Schwinger equation and solve it exactly for barriers modeled as Dirac delta functions running along: (i) N − horizontal lines Poincaré upper half-plane; (ii) concentric circles centered at origin; and, (iii) hypercircle disk.
Wave confinement, e.g., in waveguides, gives rise to a huge number of distinct phenomena. Among them, amplitude gain is recurrent and relevant effect undulatory processes. Using general purpose protocol solve wave equations, the boundary wall method, we demonstrate that for relatively simple geometries, namely, few leaky or opaque obstacles inside θ wedge waveguide (described by Helmholtz equation), one can obtain considerable amplification certain spatially localized regions system. The...
Quantum billiards are a key focus in quantum mechanics, offering simple yet powerful model to study complex features. While the development of algebras for systems is traced from one-dimensional integrable models groups and Generalized Heisenberg Algebra (GHA). The primary this work extend GHA billiards, showcasing its application separable non-separable billiards. We apply formalism square billiard, first generating coherent states with specific numbers exploring their time evolution.Then,...
In this study, we explore a form of quantum circuit complexity that extends to open systems. To illustrate our methodology, focus on basic model where the projective Hilbert space states is depicted by set orientations in Euclidean plane. Specifically, investigate dynamics mixed as they undergo interactions with sequence gates. Our approach involves analysis sequences real $2\times2$ density matrices. This mathematical physically exemplified Stokes matrices, which delineate linear...
In this work we successfully present a quantum version of the multiplayer Colonel Blotto game. We find that players with access to strategies has advantage over classical ones. The payoff is invariant under order strategies.
In this work we study the inverse quantum scattering via deep learning regression, which is implemented a Multilayer Perceptron. A step-by-step method provided in order to obtain potential parameters. circular boundary-wall was chosen exemplify method. Detailed discussion about training provided. investigation with noisy data presented and it observed that neural network useful predict