# Quark-Antiquark Effective Potential in Symplectic Quantum Mechanics

@inproceedings{Luz2021QuarkAntiquarkEP, title={Quark-Antiquark Effective Potential in Symplectic Quantum Mechanics}, author={R. R. Luz and Caroline S. R. Costa and G. X. A. Petronilo and Ademir E Santana and R. G. G. Amorim and R. A. S. Paiva}, year={2021} }

In this paper, we explore a bi-dimensional nonrelativistic strong interaction system that represent the bound state of heavy quark-antiquark, where we consider a Cornell potential which it has Coulombian and linear terms. For this purpose, we solve the Schrödinger equation in the phase space with the linear potential. The eigenfunction found is associated with the Wigner function via Weyl product using the representation theory of Galilei group in the phase space. We find that the Wigner…

## References

SHOWING 1-10 OF 72 REFERENCES

Quark-Antiquark Potential from a Deformed AdS/QCD

- PhysicsAdvances in High Energy Physics
- 2019

In this work we calculate the static limit of the energy for a quark-antiquark pair from the Nambu-Goto action using a holographic approach with a deformed AdS space, with warp factor exp{(κz)n/n}.…

Bound State of Heavy Quarks Using a General Polynomial Potential

- PhysicsAdvances in High Energy Physics
- 2018

In the present work, the mass spectra of the bound states of heavy quarks cc-,bb-, and Bc meson are studied within the framework of the nonrelativistic Schrödinger’s equation. First, we solve…

Noncommutative correction to the Cornell potential in heavy-quarkonium atoms

- Physics
- 2016

We investigate the effect of space–time noncommutativity on the Cornell potential in heavy-quarkonium systems. It is known that the space–time noncommutativity can create bound states, and we…

Approximate solutions of the Schrödinger equation with Hulthén-Hellmann Potentials for a Quarkonium system

- Physics
- 2021

Hulthen plus Hellmann potentials are adopted as the quark-antiquark interaction potential for studying the mass spectra of heavy mesons. We solved the radial Schrodinger equation analytically using…

Analytical Solution for the Gross-Pitaevskii Equation in Phase Space and Wigner Function

- Physics
- 2020

In this work we study symplectic unitary representations for the Galilei group. As a consequence a Non-Linear Schr\"odinger equation is derived in phase space. The formalism is based on the…

Quantum field theory in phase space

- PhysicsInternational Journal of Modern Physics A
- 2019

The tilde conjugation rule in thermofield dynamics, equivalent to the modular conjugation in a [Formula: see text]-algebra, is used to develop unitary representations of the Poincaré group, where the…

Analytical Solutions of the Schrödinger Equation with Class of Yukawa Potential for a Quarkonium System Via Series Expansion Method

- Physics
- 2020

A class of Yukawa potential is adopted as the quark-antiquark interaction potential for studying the mass spectra of heavy mesons. The potential was made to be temperature-dependent by replacing the…