• Corpus ID: 239769271

Quark-Antiquark Effective Potential in Symplectic Quantum Mechanics

  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},
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… 

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