Ground-state energy of weak-coupling polarons in quantum rods
量子棒中弱耦合极化子的基态能量

The Hamiltonian of the quantum rod (QR) with an ellipsoidal boundary is given after a coordinate transformation. Using the linear-combination operator and unitary transformation methods, the vibrational frequency and the ground-state energy of weak-coupling polarons are obtained. Numerical results illustrate that the vibrational frequency increases with the decrease of the effective radius R0 of the ellipsoidal parabolic potential and the aspect ratio e of the ellipsoid, and that the ground-state energy inc...