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Squeezing and Higherorder Squeezing Properties of Eigenstates of the Operator akqsSupported by the Natural Science Foundation of Shandong Province, China.

Ji‐Suo Wang

Abstract

The squeezing and higherorder squeezing properties of k orthonormalized eigenstates of the higher powers akqs(k≥3) of the annihilation operator of twoparameter deformed harmonic oscillator are investigated. It is found that the 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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Key concepts: Eigenvalues and eigenvectors, Operator (biology), Harmonic oscillator, Creation and annihilation operators, Annihilation, Foundation (evidence), Order (exchange), Mathematics