scholarly journals Quantum algebraic symmetries in nuclear physics

2019 ◽  
Vol 3 ◽  
pp. 175
Author(s):  
D. Bonatsos ◽  
C. Dascaloyannis
Keyword(s):  
Exact Solution ◽  
Nuclear Physics ◽  
First Order ◽  
Commutation Relations ◽  
Deformed Oscillator ◽  
Pairing Correlations ◽  
Nuclear Shell

The pairing correlations in a single-j nuclear shell are considered. It is proven that a simple boson mapping in terms of q-defonned bosons exists, which reproduces correctly both the commutation relations and the energy up to first order corrections, the parameter q being connected to the size of the shell. An exact solution in terms of a generalized deformed oscillator is also found

scholarly journals Observation of ultra-fine structures in energy levels of prolate nuclei

2018 ◽  
Vol 96 (9) ◽  
pp. 1059-1062 ◽  
Author(s):  
Hassan Hassanabadi ◽  
Hadi Sobhani
Keyword(s):  
Energy Spectrum ◽  
Commutation Relation ◽  
Atomic Physics ◽  
Nuclear Physics ◽  
Energy Levels ◽  
Zeeman Effect ◽  
Three Dimensions ◽  
Energy Splitting ◽  
Commutation Relations ◽  
Fine Structures

This work discusses the observation of splitting in the energy levels of prolate nuclei. Similar effects in atomic physics are known as the Zeeman effect, but in nuclear physics the feasibility of such phenomena has not been observed. After introducing a deformation in the commutation relation in three dimensions, we used these commutation relations in X(3) model. After enough derivation, we then evaluate the energy spectrum relation for the considered system, which has resulted in energy splitting. With these observations in the energy splitting we referred to such an effect as the ultra-fine structures in energy levels. At the end some plots have been depicted to illustrate the results.

scholarly journals Scalar field cosmology in Lyra's geometry

2015 ◽  
Vol 3 (2) ◽  
pp. 117 ◽  
Author(s):  
V. K. Shchigolev ◽  
E. A. Semenova
Keyword(s):  
Exact Solution ◽  
Scalar Field ◽  
Generating Function ◽  
Function Method ◽  
Scalar Fields ◽  
First Order ◽  
Homogeneous Cosmological Models ◽  
Different Types ◽  
Lyra’S Geometry ◽  
Scalar Field Cosmology

<p>The new classes of homogeneous cosmological models for the scalar fields are build in the context of Lyra’s geometry. The different types of exact solution for the model are obtained by applying two procedures, viz the generating function method and the first order formalism.</p>

PAIRING CORRELATIONS IN THE STRONG FLUCTUATIONS REGIME

2004 ◽  
Vol 13 (01) ◽  
pp. 235-238
Author(s):  
M. A. FERNÁNDEZ ◽  
J. L. EGIDO
Keyword(s):  
Exact Solution ◽  
Weak Crossover ◽  
Generator Coordinate Method ◽  
Coordinate Method ◽  
Generator Coordinate ◽  
Pairing Correlations

A general BCS Ansatz based on the Generator Coordinate Method is proposed to study pairing properties in superconducting grains. The formalism is applied to the pairing Hamiltonian where we reproduce the exact solution in the weak, crossover and strong pairing regimes.

Tensor Bogolyubov representations of the renormalized square of white noise (RSWN) algebra

2019 ◽  
Vol 22 (04) ◽  
pp. 1950025
Author(s):  
Habib Rebei ◽  
Luigi Accardi ◽  
Hajer Taouil
Keyword(s):  
White Noise ◽  
Lebesgue Measure ◽  
Absolutely Continuous ◽  
First Order ◽  
Commutation Relations ◽  
Hyperbolic Sine ◽  
Arbitrary Complex ◽  
Borel Functions ◽  
Complex Valued

We introduce the quadratic analog of the tensor Bogolyubov representation of the CCR. Our main result is the determination of the structure of these maps: each of them is uniquely determined by two arbitrary complex-valued Borel functions of modulus [Formula: see text] and two maps of [Formula: see text] into itself whose inverses induce transformations that map the Lebesgue measure [Formula: see text] into measures [Formula: see text] absolutely continuous with respect to it. Furthermore, the Radon–Nikodyn derivatives [Formula: see text], of these measures with respect to [Formula: see text], must satisfy the relation [Formula: see text] for [Formula: see text]-almost every [Formula: see text]. This makes a surprising bridge with the hyperbolic sine and cosine defining the structure of usual (i.e. first-order) Bogolyubov transformations. The reason of the surprise is that the linear and quadratic commutation relations are completely different.

Exact solution of a static charged sphere in general relativity

1969 ◽  
Vol 47 (21) ◽  
pp. 2401-2404 ◽  
Author(s):  
S. J. Wilson
Keyword(s):  
Exact Solution ◽  
General Relativity ◽  
Gravitational Constant ◽  
The Self ◽  
Spherically Symmetric ◽  
Charged Sphere ◽  
Field Equations ◽  
First Order ◽  
Self Energy ◽  
Spherically Symmetric Distribution

An exact solution of the field equations of general relativity is obtained for a static, spherically symmetric distribution of charge and mass which can be matched with the Reissner–Nordström metric at the boundary. The self-energy contributions to the total gravitational mass are computed retaining only the first order terms in the gravitational constant.

scholarly journals A Fourth Order Finite Difference Method for the Good Boussinesq Equation

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
M. S. Ismail ◽  
Farida Mosally
Keyword(s):  
Exact Solution ◽  
Nonlinear System ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Fourth Order ◽  
Boussinesq Equation ◽  
First Order ◽  
System A ◽  
Accuracy And Stability ◽  
Linearization Techniques

The “good” Boussinesq equation is transformed into a first order differential system. A fourth order finite difference scheme is derived for this system. The resulting scheme is analyzed for accuracy and stability. Newton’s method and linearization techniques are used to solve the resulting nonlinear system. The exact solution and the conserved quantity are used to assess the accuracy and the efficiency of the derived method. Head-on and overtaking interactions of two solitons are also considered. The numerical results reveal the good performance of the derived method.

scholarly journals Skyrme-Hartree-Fock approach for description of static nuclear properties of well-deformed nuclei

2020 ◽  
Vol 16 (1) ◽  
pp. 34-37
Author(s):  
Meng-Hock Koh ◽  
Nurhafiza Mohamad Nor ◽  
Nor-Anita Rezle ◽  
Kai-Wen Kelvin Lee ◽  
Philippe Quentin ◽  
...  
Keyword(s):  
Nuclear Structure ◽  
Nuclear Physics ◽  
Nuclear Power ◽  
Magnetic Moments ◽  
Mean Field ◽  
Nucleon Nucleon ◽  
Nuclear Power Generation ◽  
Hartree Fock ◽  
Pairing Correlations ◽  
Experimental Magnetic Moment

Nuclear structure data plays an important role in nuclear physics studies and applications such as nuclear power generation. This article presents evaluations of a mean-field approach to describe two nuclear structure quantities namely the electric and magnetic moments. The Hartree-Fock-plus-pairing approach was employed with pairing correlations treated within the Bardeen-Cooper-Schrieffer (BCS) framework. The Skyrme SIII parametrization and seniority force are chosen to approximate the effective nucleon-nucleon and pairing interactions, respectively. Calculated results show that the self-consistent blocking procedure which takes into account time-reversal symmetry breaking is important to reproduce experimental magnetic moment

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