Particle Swarms and Nonextensive Statistics for Nonlinear Optimisation

Anastasiadis, A.; Magoulas, George D.

doi:10.2174/1874110x00802010173

Cited by 3 publications

(1 citation statement)

References 43 publications

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“…The system is sub-extensive when q > 1 and, for q < 1, it is super-extensive [14,15].Özeren [8] studied nonextensive quantum characteristics of the generalized CK oscillator in connection with SU(1,1) coherent states, on the basis of exactly the same Hamiltonian given in Eq. (7) (except for disregarding a trivial factor δ).…”

Section: Hamiltonian Dynamics Of Fieldsmentioning

confidence: 99%

Quantum Analysis of a Modified Caldirola-Kanai Oscillator Model for Electromagnetic Fields in Time-Varying Plasma

Choi¹,

Lakehal²,

Maamache³

et al. 2014

PIER Letters

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Abstract-Quantum properties of a modified Caldirola-Kanai oscillator model for propagating electromagnetic fields in a plasma medium are investigated using invariant operator method. As a modification, ordinary exponential function in the Hamiltonian is replaced with a modified exponential function, so-called the q-exponential function. The system described in terms of q-exponential function exhibits nonextensivity. Characteristics of the quantized fields, such as quantum electromagnetic energy, quadrature fluctuations, and uncertainty relations are analyzed in detail in the Fock state, regarding the q-exponential function. We confirmed, from their illustrations, that these quantities oscillate with time in some cases. It is shown from the expectation value of energy operator that quantum energy of radiation fields dissipates with time, like a classical energy, on account of the existence of non-negligible conductivity in media.

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Section: Hamiltonian Dynamics Of Fieldsmentioning

confidence: 99%