# Analytical energy spectrum for hybrid mechanical systems

@article{Zhong2014AnalyticalES, title={Analytical energy spectrum for hybrid mechanical systems}, author={Honghua Zhong and Qiongtao Xie and Xi-Wen Guan and Murray T Batchelor and Ke-Lin Gao and Chaohong Lee}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2014}, volume={47} }

We investigate the energy spectrum for hybrid mechanical systems described by non-parity-symmetric quantum Rabi models. A set of analytical solutions in terms of the confluent Heun functions and their analytical energy spectrum is obtained. The analytical energy spectrum includes regular and exceptional parts, which are both confirmed by direct numerical simulation. The regular part is determined by the zeros of the Wronskian for a pair of analytical solutions. The exceptional part is relevant…

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