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Eigenstates of the Higher Powers of Annihilation Operator of a Non-Harmonic Oscillator and Their Higher-Order Squeezing

Wang Jisuo1) ,2 ) ,3 ) Liu Tangkun1) ,2 ) ,4) Zhan Mingsheng1) 1) ,State Key L aboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics,The Chinese Academy of Sciences,Wuhan 4 30 0 71 2 )  
The eigenstates of the Nth powers (N≥ 3) of the annihilation operator of the non- harmonic oscillator are constructed,and their mathematical and higher- order squeezing properties are studied.The results show that they form a complete Hilbertspace,and the Mthpower[M =(n +1 2 ) N;n =0 ,1, 2 ,… ] squeezing effects existin all eigenstates when Nis even.
【Fund】: 国家自然科学基金!(批准号 :19774 0 6 9);; 山东省自然科学基金资助项目
【CateGory Index】: O431
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