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Paper   IPM / P / 6982
School of Physics
Title:   Coherent State for A Relativistic Spinless Particle
Author(s):
 1 M. Haghighat 2 A. Dadkhah
Status:   Published
Journal: Phys. Lett. A
No.:  52
Vol.:  316
Year:  2003
Pages:   271-278
Supported by:  IPM
Abstract:
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.