Trapped Particles in $PT$ Symmetric Theories

C. Yuce, A. Kurt, A. Kucukaslan

Published 2006-02-13Version 1

$PT$ symmetric quantum mechanics for a particle trapped by the generalized non-Hermitian harmonic oscillator potential is studied. It is shown that energy and the expectation value of the position operator $x$ can not be real simultaneously, if the particle is trapped. Non-vanishing boundary conditions for the trapped particle in $PT$ symmetric theory are also discussed.