Quark-Antiquark Effective Potential in Symplectic Quantum Mechanics

  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},
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… 

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