Transition Frequency of Strong-Coupling Magnetopolaron in Quantum Rods

The Hamiltonian of a quantum rod with an ellipsoidal boundary is given after a coordinate transformation, which changes the ellipsoidal boundary into a spherical one. We then study the first excited state energy, the excitation energy and the transition frequency between the first excited and the ground states of the strong-coupling magnetopolaron in it. The effects of the magnetic field cyclotron frequency, the electron-phonon coupling strength, the transverse and longitudinal effective confinement lengths and the aspect ratio of the ellipsoid are taken into consideration by using linear combination operator and the unitary transformation methods. It is found that the first excited state energy, the excitation energy and the transition frequency will increase with increasing the cyclotron frequency. They will increase with decreasing the transverse and longitudinal effective confinement lengths and the aspect ratio of the ellipsoid. The first excited state energy is decreasing functions of the electron-phonon coupling strength, whereas the excitation energy and the transition frequency are increasing functions of the electron-phonon coupling strength.