With the development of several experimental techniques

for instance

metalorganic chemical vapour deposition

molecular beam epitaxy and electron beam lithography combined with reverse mesa etching

there has been of considerable interest in understanding of hydrogenic-impurity states in low-dimensional semiconductor heterostructures such as quantum wells

quantum wires and quantum dots. In recent years

there has been great interest in investigating quantum dots both theoretically and experimentally. Due to the small structures of QD's

some physical properties such as optical and electron transport characteristic are quite different from those of the bulk materials. The study of the impurity states in these low dimensional strictures is an important aspect to which many theoretical and experimental works based. Recent investigations in the reduced dimensionality show that the impurity binding energy will be enhanced with the deduction of the dimensionality. In recent years

the problem of a bound magnetopolaron in a quantum dot has been extensively studied. Au-Yeung

et al

. studied the combined effects of a parabolic potential and a Coulomb impurity on the cyclotron resonance of a three-dimensional bound magnetopolaron by using Larsen's perturbation method. Chen

et al

. investigated thickness effecting on energy levels of impurity-bound magnetopolaron in a parabolic quantum dot by the second-order perturbation theory. Khamkhami

et al

. studied properties of the magneto-bound polaron in CdSe spherical quantum dots in the framework of the effective mass approximation using the strong coupling method (Landau-Pekar approach). Charrour

et al

. presented a systematic study of the ground state binding energy of a hydrogenic impurity in cylindrical quantum dot subjected to an external strong magnetic field and performed calculations within the effective-mass approximation using the variational procedure and considering an infinite confining potential on all surfaces of the system. Nguyen

et al

. analyzed magnetic field effects of parabolic confining potentials on the binding energy of hydrogen impurities in quantum dots using a very simple trial function with only one variational parameter. Chen

et al

. derived ground state properties of the bound magnetopolaron using the linear combination operator and unitary transformation method. One of this paper's authors by using the linear combination operator and unitary transformation methods achieved the vibration frequency and the average number of phonons of the strong-coupling bound magnetopolaron in a parabolic quantum dot. By using the variational method of Pekar type

we have studied both the ground state and the excited state of strong coupling bound magnetopolaron in parabolic quantum dot. The results show that

with the increasing the effective confinement strength

the ground state energy

the average number of virtual phonons around the electron and the resonance frequency of bound magnetopolaron in parabolic quantum dots are decreased. The ground state energy of bound magnetopolaron in parabolic quantum dots increases with increasing the cyclotron frequency of the quantum dots and decrease with increasing the coulomb potential.