Uncertainty relations for a deformed oscillator

Abstract:

We construct a deformed oscillator whose energy spectra is similar to that of a Morse potential. We obtain a convenient algebraic representation of the displacement and the momentum of a Morse oscillator by expanding them in terms of deformed creation and annihilation operators and we compute their average values between approximate coherent states of the deformed oscillator, and we compare them to the results obtained using the exact Morse coordinate and momenta. Finally we evaluate the temporal evolution of the dispersion (Δx)(Δp) and show that these states are not minimum uncertainty states. © World Scientific Publishing Company.

Año de publicación:

2006

Keywords:

• Morse theory
• Coherent states
• Lie algebraic method

Fuente:

scopus