Quark‐Antiquark Effective Potential in Symplectic Quantum Mechanics

R Luz, G Petronilo, A De Santana… - Advances in High …, 2022 - Wiley Online Library
In this paper, we study within the structure of Symplectic Quantum Mechanics a
bidimensional nonrelativistic strong interaction system which represent the bound state of …

Size-effect at finite temperature in a quark–antiquark effective model in phase space

GXA Petronilo, RGG Amorim, SC Ulhoa… - … Journal of Modern …, 2021 - World Scientific
A quark–antiquark effective model is studied in a toroidal topology at finite temperature. The
model is described by a Schrödinger equation with linear potential which is embedded in a …

Symplectic Representation of the Ginzburg-Landau Theory

EA Reis, GXA Petronilo, RGG Amorim, H Belich… - arXiv preprint arXiv …, 2024 - arxiv.org
In this work, the Ginzburg-Landau theory is represented on a symplectic manifold with a
phase space content. The order parameter is defined by a quasi-probability amplitude …

Phase space Schrödinger equation and quadratic friction

H Dessano, GXA Petronilo, RGG Amorim… - Journal of Mathematical …, 2022 - pubs.aip.org
Phase space Schrödinger equation and quadratic friction | Journal of Mathematical Physics
| AIP Publishing Skip to Main Content Umbrella Alt Text Umbrella Alt Text Close Publishers …

Symplectic Density Matrix

RGG Amorim, AE Santana - Brazilian Journal of Physics, 2023 - Springer
The quasi amplitude of probability, a concept associated with the Wigner function, is used to
introduce the notion of symplectic density matrix, ρ. The Liouville-Von Neumann equation is …

Conformal Field Theories in Symplectic Manifolds

GXA Petronilo - 2024 - icts.unb.br
This work investigates the notion of a conformal group and derives a representation for
symplectic quantum mechanics in the Galilean manifold, G, in a consistent manner using the …

Symplectic field theory of the Galilean covariant scalar and spinor representations

GXA Petronilo, SC Ulhoa, AE Santana - arXiv preprint arXiv:1909.13737, 2019 - arxiv.org
Exploring the concept of the extended Galilei group $\mathcal {G} $, a representation for the
symplectic quantum mechanics in the manifold of $\mathcal {G} $, written in the light-cone of …

Symplectic Schrödinger equation for many-body systems

RGG Amorim, MCB Fernandes, FC Khanna… - … Journal of Modern …, 2020 - World Scientific
Using elements of symmetry, as gauge invariance, many aspects of a Schrödinger equation
in phase space are analyzed. The number (Fock space) representation is constructed in …

Estudo analítico de modelos não lineares no espaço de fase

AX Martins - 2022 - rlbea.unb.br
A partir do início do século XX, a mecânica quântica se tornou uma área da física de
altísisma relevância para a compreensão da natureza da matéria em níveis microscópicos …

[PDF][PDF] Research Article Quark-Antiquark Effective Potential in Symplectic Quantum Mechanics

R Luz, G Petronilo, A de Santana, C Costa, R Amorim… - 2022 - academia.edu
In this paper, we study within the structure of Symplectic Quantum Mechanics a
bidimensional nonrelativistic strong interaction system which represent the bound state of …