  We constructed formal coherent states for an asymmetric harmonic oscillator,
where the asymmetry parameter is the square root of the ratio of spring
constants. Although these states are constructed based on both Glauber's and
Perelomov's approaches, in general they do not satisfy all the properties
required for coherent states. Over time, the coherent states introduced in this
way generally become incoherent. However, there are some specific parameters
for the square root ratios of the spring constants $\frac{4k+1}{4l+1}$ or
$\frac{4k+3}{4l+3}$. For these parameters it is possible to construct coherent
states on the subspace of the Hilbert space of eigenstates. These coherent
states keep their coherence during the time evolution. This case is also
analyzed.
