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Paper   IPM / Physic / 6982
School of Physics
  Title:   Coherent State for A Relativistic Spinless Particle
1.  M. Haghighat
2.  A. Dadkhah
  Status:   Published
  Journal: Phys. Lett. A
  No.:  52
  Vol.:  316
  Year:  2003
  Pages:   271-278
  Supported by:  IPM
The Klein-Gordon equation with scalar potential is considered. In the Feshbach-Villars representation the annihilation operator for a linear potential is defined and its eigenstates are obtained. Although the energy levels in this case are not equally-spaced, depending on the eigenvalues of the annihilation operator, the states are nearly coherent and squeezed. The relativistic Poschl-Teller potential is introduced. It is shown that its energy levels are equally-spaced. The coherence of time evolution of the eigenstates of the annihilation operator for this potential is evaluated.

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