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Abstract: The coherent states for a set of quadratic Hamiltonians in the trap regimeare constructed. A matrix technique which allows to identify directly thecreation and annihilation operators will be presented. Then, the coherentstates as simultaneous eigenstates of the annihilation operators will bederived, and they are going to be compared with those attained through thedisplacement operator method. The corresponding wave function will be found,and a general procedure for obtaining several expected values involving thecanonical operators in these states will be described. The results will beillustrated through the asymmetric Penning trap.

Author: Alonso Contreras-Astorga, David J Fernandez C, Mercedes Velazquez



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