COHERENT STATES, FRACTALS AND BRAIN WAVES
نویسندگان
چکیده
منابع مشابه
Coherent states, fractals and brain waves
I show that a functional representation of self-similarity (as the one occurring in fractals) is provided by squeezed coherent states. In this way, the dissipative model of brain is shown to account for the self-similarity in brain background activity suggested by power-law distributions of power spectral densities of electrocorticograms. I also briefly discuss the action-perception cycle in th...
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The self-similarity properties of fractals are studied in the framework of the theory of entire analytical functions and the q-deformed algebra of coherent states. Self-similar structures are related to dissipation and to noncommutative geometry in the plane. The examples of the Koch curve and logarithmic spiral are considered in detail. It is suggested that the dynamical formation of fractals ...
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In this paper, we construct the Gazeau-Klauder coherent states of a two- dimensional harmonic oscillator on a sphere based on two equivalent approaches. First, we consider the oscillator on the sphere as a deformed (non-degenerate) one-dimensional oscillator. Second, the oscillator on the sphere is considered as the usual (degenerate) two--dimensional oscillator. Then, by investigating the quan...
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Considering generalized concurrence as the criterion of entanglement, we study entanglement properties of superposition of two qutrit coherent states, as a function of their amplitudes. These states may attain maximum entanglement or no entanglement at all, depending on the choice of the parameters involved. The states revealing maximum entanglement also display the maximum violations of the Be...
متن کاملCoherent States
The important role of coherent states [1, 2] in the contemporary quantum physics (especially , in quantum optics) is well-known. In particular, coherent states are essentially used the definition and evaluation of functional integrals [3]. The concept of coherent states has appeared , useful also in, the mathematical physics, in the theory of representations and in some other branches of mathem...
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ژورنال
عنوان ژورنال: New Mathematics and Natural Computation
سال: 2009
ISSN: 1793-0057,1793-7027
DOI: 10.1142/s1793005709001271