Coherent states approach to Penning trap

Abstract

By using a matrix technique, which allows to identify directly the ladder operators, the Penning trap coherent states are derived as eigenstates of the appropriate annihilation operators. These states are compared with the ones obtained through the displacement operator. The associated wave functions and mean values for some relevant operators in these states are also evaluated. It turns out that the Penning trap coherent states minimize the Heisenberg uncertainty relation.

10 pages, small changes, one reference added

References in corpus (7)

• New nonlinear coherent states and some of their nonclassical properties
• Coherent states for Hamiltonians generated by supersymmetry
• Symplectic tomography of nonlinear coherent states of a trapped ion
• Symplectic Tomography of Nonclassical States of Trapped Ion
• Generalized Coherent States Associated with the $C_{\lambda }$-Extended Oscillator
• Generalized coherent states associated with the C_λ-extended oscillator
• Is there a prescribed parameter's space for the adiabatic geometric phase?

Cited by in corpus (5)

• Position Dependent Mass Oscillators and Coherent States
• Factorization method and new potentials from the inverted oscillator
• Quantum confinement in 1D systems through an imaginary-time evolution method
• Coherent states for quadratic Hamiltonians
• Robustness of spatial Penning trap modes against environment-assisted entanglement