Physical Significance of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>q</mml:mi></mml:math>Deformation and Many-Body Interactions in Nuclei

Sviratcheva, K. D.; Bahri, C.; Georgieva, A. I.; Draayer, J. P.

doi:10.1103/physrevlett.93.152501

Cited by 92 publications

(86 citation statements)

References 33 publications

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“…For example, starting from a mathematical formula for the spectrum of the hydrogen atom and introducing a q-deformation, we obtained the construction principle for the neutral atoms, positive ions, etc., [21]. As another example, the q-deformations have been linked to the smooth (non-linear) behavior of phenomena in atomic nuclei [22]. We gave here only two examples but in fact there are a hundreds of applications using the q-deformations (in statistical physics, solid-state physics, nuclear physics, particle physics, superstrings, branes, and so on).…”

Section: Summary and Concluding Remarksmentioning

confidence: 99%

The Genetic Codes: Mathematical Formulae and an Inverse Symmetry-Information Relationship

Négadi

2016

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First, mathematical formulae faithfully describing the distributions of amino acids and codons and reproducing the degeneracies in the various known genetic codes, including the standard genetic code, are constructed, by hand. Second, we summarize another mathematical approach relying on the use of q-deformations to describe these same genetic codes, and add a new application not considered before. Third, by considering these same genetic codes, we find, qualitatively, that an inverse symmetry-information relationship exists.

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Section: Summary and Concluding Remarksmentioning

confidence: 99%

The Genetic Codes: Mathematical Formulae and an Inverse Symmetry-Information Relationship

Négadi

2016

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“…These fermionic quantum algebras were applied to several problems, as the dynamic mass generation of quarks and nuclear pairing [9,10], and as descriptive of higher order effects in many-body interactions in nuclei [11,12].…”

Section: Generalized Q-deformed Fermion Algebramentioning

confidence: 99%

Golden quantum oscillator and Binet–Fibonacci calculus

Pashaev¹,

Nalci²

2011

J. Phys. A: Math. Theor.

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The Binet formula for Fibonacci numbers is treated as a q-number and a q-operator with Golden ratio bases q = ϕ and Q = −1/ϕ, and the corresponding Fibonacci or Golden calculus is developed. A quantum harmonic oscillator for this Golden calculus is derived so that its spectrum is given only by Fibonacci numbers. The ratio of successive energy levels is found to be the Golden sequence, and for asymptotic states in the limit n → ∞ it appears as the Golden ratio. We call this oscillator the Golden oscillator. Using double Golden bosons, the Golden angular momentum and its representation in terms of Fibonacci numbers and the Golden ratio are derived. Relations of Fibonacci calculus with a q-deformed fermion oscillator and entangled N-qubit states are indicated.

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“…Quantum deformation [41] has received much attentions because of its relation with applications in nuclei [42][43][44][45], statistical-quantum theory, string/brane theory and conformal field theory [46][47][48][49]. Recently, some authors have been introduced some potentials in terms of hyperbolic functions in the view of q-deformation [50].…”

Section: Introductionmentioning

confidence: 99%