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Communications in Theoretical Physics

A New Kind of k -Quantum Nonlinear Coherent States: Their Generation and Physical Meaning

Ji‐Suo Wang, Tang-Kun Liu, Jian Feng, Jinzuo Sun, Mingsheng Zhan

Published Jun 15, 2004• 0 citations
Publisher

Abstract

A new kind of k-quantum nonlinear coherent states, i.e., the k eigenstates of the k-th power of the generalized annihilation operator of f-oscillators, are obtained and their properties are discussed. The completeness of the k states is investigated. An alternative method to construct them is proposed. It is shown that these states may form a complete Hilbert space, and all of them can be generated by a linear superposition of k Roy-type nonlinear coherent states. Physically, they can be generated by a linear superposition of the time-dependent Roy-type nonlinear coherent states at different instants.

DOI
10.1088/0253-6102/41/6/935

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