Recently we have proposed a method to create thin matter-wave bubbles from
coherent atoms trapped in a magnetic potential. In this article we discuss
in detail some properties of these states. In particular, we numerically an
d analytically investigate the Wigner function to demonstrate their non-cla
ssical nature. Furthermore, we study the energy and lifetime of the bubbles
, which are long-lived resonances in a radio frequency-induced adiabatic po
tential, and illustrate how they can be transformed into excited eigenstate
s of the original harmonic trapping potential.