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… 

Figures and Tables from this paper

References

SHOWING 1-10 OF 75 REFERENCES
Quantum mechanics on phase space and the Coulomb potential
The Landau problem and nonclassicality
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
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
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
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
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
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
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
...
1
2
3
4
5
...