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AIP conference proceedings

Asymmetric Penning trap coherent states

Alonso Contreras-Astorga, David J. Fernández C., Hugo Aurelio Morales-Técotl, Luis Arturo Ureña-López, Román Linares, Hugo García‐Compeán

Published Jan 1, 2010• 0 citations
Publisher

Abstract

By using a matrix technique, which allows to identify directly the ladder operators, the coherent states of the asymmetric Penning trap are derived as eigenstates of the appropriate annihilation operators. They are compared with those obtained through the displacement operator method.
DOI
10.1063/1.3473860

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In this work we make use of deformed operators to construct the coherent states of some nonlinear systems by generalization of two definitions: i) As eigenstates of a deformed annihilation operator and ii) by application of a deformed displacement operator to the vacuum state. We also construct the coherent states for the same systems using the ladder operators obtained by traditional methods with the knowledge of the eigenfunctions and eigenvalues of the corresponding Schrödinger equation. We show that both methods yield coherent states with identical algebraic structure.