Acta Optica Sinica, Volume. 14, Issue 10, 1043(1994)
Eigenstates of Higher Power (k≥3) of the q-Boson Annihilation Operator and Their Properties
In this paper, the mathematical structure of k orthonormalized eigenstutds of the higher powers (k≥3) of the q-boson annihilation operator are studied. Based on the work, the properties of the mathematics, q-squeezing and the amplitude N th-power squeezing are investigated. It is found that they form a complete q-Hilbert sauce, and the amplitude N th-power squeezing [N=(m+1/2)k, m=0,1,2,…] can exist in the all of them when k is even.
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[in Chinese], [in Chinese]. Eigenstates of Higher Power (k≥3) of the q-Boson Annihilation Operator and Their Properties[J]. Acta Optica Sinica, 1994, 14(10): 1043