By means of the invariance of Weyl ordering under similar transformations we derive the explicit form of the generalized multimode squeezed states. Moreover, the completeness relation and the squeezing properties of t...By means of the invariance of Weyl ordering under similar transformations we derive the explicit form of the generalized multimode squeezed states. Moreover, the completeness relation and the squeezing properties of the generalized multimode squeezed states are discussed.展开更多
Using non-Hermitian realizations of SU(1, 1) Lie algebra in terms of an f-oscillator, we generalize the notionof nonlinear coherent states to the single-mode and two-mode nonlinear SU(1, 1) coherent states. Taking the...Using non-Hermitian realizations of SU(1, 1) Lie algebra in terms of an f-oscillator, we generalize the notionof nonlinear coherent states to the single-mode and two-mode nonlinear SU(1, 1) coherent states. Taking the nonlinearityfunction f(k) = Llk(η2)[(k + 1)Lok (η2)]-1, their statistical properties are studied.展开更多
文摘By means of the invariance of Weyl ordering under similar transformations we derive the explicit form of the generalized multimode squeezed states. Moreover, the completeness relation and the squeezing properties of the generalized multimode squeezed states are discussed.
文摘Using non-Hermitian realizations of SU(1, 1) Lie algebra in terms of an f-oscillator, we generalize the notionof nonlinear coherent states to the single-mode and two-mode nonlinear SU(1, 1) coherent states. Taking the nonlinearityfunction f(k) = Llk(η2)[(k + 1)Lok (η2)]-1, their statistical properties are studied.