In the (quick) overview of the SSP model, we discussed how the shearing of x-dependent modes by the mean shear leads to a positive feedback on the mean flow. In the SSP model these are the W 2 term in the M equation and the −MW term in the W equation. Although this interaction is not necessary for the self-sustaining process itself, it is the key effect that leads to the R−1 scaling of the tran...

We generalize Schwinger boson representation of SU(2) algebra to SU(N) and define coherent states of SU(N) using 2(2N−1−1) bosonic harmonic oscillator creation and annihilation operators. We give an explicit construction of all (N-1) Casimirs of SU(N) in terms of these creation and annihilation operators. The SU(N) coherent states belonging to any irreducible representations of SU(N) are labell...

We show that the well-known binomial states and negative binomial states of the radiation field and their excitations are nonlinear coherent states.Excited nonlinear coherent state are still nonlinear coherent states with different nonlinear functions.We finally give exponential form of the nonlinear coherent states. PACS numbers:42.50.Dv,03.65.Db,32.80.Pj,42.50.Vk Typeset using REVTEX ∗email:x...

We introduce the set of n-photon coherent states and squeezed study their collapse revival compare behavior with corresponding zero-photon states, respectively. The (n = 0, 1, 2, ···) forms a basis Hilbert state photons may be some interest. notice that presence few extra in as compared to makes large difference revival. This indicates effect make

In this paper, we investigate the relation between the curvature of the physical space and the deformation function of the deformed oscillator algebra using non-linear coherent states approach. For this purpose, we study two-dimensional harmonic oscillators on the flat surface and on a sphere. With the use of their algebras, we show that the two-dimensional oscillator algebra on a surface can b...

This article reports on a program to obtain and understand coherent states for general systems. Most recently this has included supersymmetric systems. A byproduct of this work has been studies of squeezed and supersqueezed states. To obtain a physical understanding of these systems has always been a primary goal. In particular, in the work on supersymmetry an attempt to understand the role of ...

Both the coherent states and also the squeezed states of the harmonic oscillator have long been understood from the three classical points of view: the 1) displacement operator, 2) annihilation(or ladder-) operator, and minimum-uncertainty methods. For general systems, there is the same understanding except for ladder-operator and displacement-operator squeezed states. After reviewing the known...