A new kind of nonlinear coherent states and their properties.

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    • Subject Terms:
      COHERENT states; NONLINEAR theories; BOSONS; ANNIHILATION reactions; QUANTUM mechanics
    • Abstract:
      A new kind of nonlinear coherent states, i.e. the k eigenstates of the powers ̂Bk (k ≥ 3) of the generalized annihilation operator ̂B =̂a†-1f (̂N ) of f-oscillators, are constructed using the inverse operators of the boson annihilation and creation operators. The set of these states may form a complete quantum mechanics representation. Using newly defined higher order squeezing and an antibunching, the properties of the Mth-order squeezing and the antibunching effect of the k states are investigated. The results show that the Mth-order [M = (n + 1/2)k; n = 0, 1, 2, ...] squeezing effects exist in all of the k states when k is even and the antibunching effect exists in all of the k states. [ABSTRACT FROM AUTHOR]
    • Abstract:
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