# Quark-Antiquark Effective Potential in Symplectic Quantum Mechanics

@article{Luz2022QuarkAntiquarkEP, title={Quark-Antiquark Effective Potential in Symplectic Quantum Mechanics}, author={Renato Luz and Gustavo Petronilo and Ademir de Santana and Caroline S. R. Costa and R. G. G. Amorim and Rendisley Paiva}, journal={Advances in High Energy Physics}, year={2022} }

In this paper, we study within the structure of Symplectic Quantum Mechanics a bidimensional nonrelativistic strong interaction system which represent the bound state of heavy quark-antiquark, where we consider a Cornell potential which consists of Coulomb-type plus linear potentials. First, we solve the Schrödinger equation in the phase space with the linear potential. The solution (ground state) is obtained and analyzed by means of the Wigner function related to Airy function for the
c…

## References

SHOWING 1-10 OF 75 REFERENCES

The Landau problem and nonclassicality

- Physics, Mathematics
- 2020

Exploring the concept of the extended Galilei group G. Representations for field theories in a symplectic manifold have been derived in association with the method of the Wigner function. 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…

Quantum mechanics in phase space: New approaches to the correspondence principle

- Physics
- 1990

We present a time evolution equation that provides a novel basis for the treatment of quantum systems in phase space and for the investigation of the quantum‐classical correspondence. Through the use…

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…

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…

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…

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…