Thermal properties of the one-dimensional space quantum fractional Dirac Oscillator

2021 ◽  
pp. 126508
Author(s):  
Nabil Korichi ◽  
Abdelmalek Boumali ◽  
Hassan Hassanabadi
Keyword(s):  
Thermal Properties ◽  
Dimensional Space ◽  
Dirac Oscillator ◽  
One Dimensional ◽  
The One

scholarly journals On the One-Dimensional Space Allocation Problem

1981 ◽  
Vol 29 (2) ◽  
pp. 371-391 ◽  
Author(s):  
Jean-Claude Picard ◽  
Maurice Queyranne
Keyword(s):  
Dimensional Space ◽  
Allocation Problem ◽  
One Dimensional ◽  
Space Allocation ◽  
The One

Thermal Properties of the One-Dimensional Duffin–Kemmer–Petiau Oscillator Using Hurwitz Zeta Function

2015 ◽  
Vol 70 (10) ◽  
pp. 867-874 ◽  
Author(s):  
Abdelamelk Boumali
Keyword(s):  
Free Energy ◽  
Thermal Properties ◽  
Zeta Function ◽  
Function Method ◽  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
Hurwitz Zeta Function ◽  
Expectation Value ◽  
One Dimensional ◽  
The One

AbstractIn this paper, we investigated the thermodynamics properties of the one-dimensional Duffin–Kemmer–Petiau oscillator by using the Hurwitz zeta function method. In particular, we calculated the following main thermal quantities: the free energy, the total energy, the entropy, and the specific heat. The Hurwitz zeta function allowed us to compute the vacuum expectation value of the energy of our oscillator.

scholarly journals Superstatistics of the one-dimensional Klein-Gordon oscillator with energy-dependent potentials

2020 ◽  
Vol 66 (5 Sept-Oct) ◽  
pp. 671
Author(s):  
M. Labidi ◽  
A. Boumali ◽  
A. Ndem Ikot
Keyword(s):  
Thermal Properties ◽  
Partition Function ◽  
Thermodynamic Properties ◽  
Gamma Distribution ◽  
Low Energy ◽  
Tsallis Statistics ◽  
One Dimensional ◽  
Klein Gordon ◽  
The One ◽  
Energy Dependent

AbstractIn this paper, we investigated the influence of energy-dependent potentials on the thermodynamic properties of the Klein-Gordon oscillator(KGO): in this way all thermal properties have been determinate via the well-know Euler-Maclaurin method. After this, we extend our study to the case of superstatistical properties of our problem in question. The probability densityf(β)followsχ2− superstatistics (=Tsallis statistics or Gamma distribution). Under the approximation of the low-energy asymptotics of superstatistics, the partition function, at first, has been calculated. This approximation leads to a universal parameterqfor any superstatistics, not only for Tsallis statistics. By using the desired partition function, all thermal properties have been obtained in terms of the parameterq. Also, the influence of the this type of potentials on these properties, via the parameterγ, are well discussed.

Solutions of evolution equations associated to infinite-dimensional Laplacian

2016 ◽  
Vol 14 (04) ◽  
pp. 1640018 ◽  
Author(s):  
Habib Ouerdiane
Keyword(s):  
Evolution Equation ◽  
Evolution Equations ◽  
Dimensional Space ◽  
Generalized Function ◽  
Initial Condition ◽  
Distribution Space ◽  
One Dimensional ◽  
Infinite Dimensional ◽  
Main Technique ◽  
The One

We study an evolution equation associated with the integer power of the Gross Laplacian [Formula: see text] and a potential function V on an infinite-dimensional space. The initial condition is a generalized function. The main technique we use is the representation of the Gross Laplacian as a convolution operator. This representation enables us to apply the convolution calculus on a suitable distribution space to obtain the explicit solution of the perturbed evolution equation. Our results generalize those previously obtained by Hochberg [K. J. Hochberg, Ann. Probab. 6 (1978) 433.] in the one-dimensional case with [Formula: see text], as well as by Barhoumi–Kuo–Ouerdiane for the case [Formula: see text] (See Ref. [A. Barhoumi, H. H. Kuo and H. Ouerdiane, Soochow J. Math. 32 (2006) 113.]).

Face recognition via collaborative representation based multiple one-dimensional embedding

2016 ◽  
Vol 14 (02) ◽  
pp. 1640003 ◽  
Author(s):  
Y. Wang ◽  
Yuan Yan Tang ◽  
Luoqing Li ◽  
Jianzhong Wang
Keyword(s):  
Face Recognition ◽  
Dimensional Space ◽  
Main Idea ◽  
Classification Problem ◽  
Collaborative Representation ◽  
High Dimensional ◽  
One Dimensional ◽  
Original Dataset ◽  
Data Points ◽  
The One

This paper presents a novel classifier based on collaborative representation (CR) and multiple one-dimensional (1D) embedding with applications to face recognition. To use multiple 1D embedding (1DME) framework in semi-supervised learning is first proposed by one of the authors, J. Wang, in 2014. The main idea of the multiple 1D embedding is the following: Given a high-dimensional dataset, we first map it onto several different 1D sequences on the line while keeping the proximity of data points in the original ambient high-dimensional space. By this means, a classification problem on high dimension reduces to the one in a 1D framework, which can be efficiently solved by any classical 1D regularization method, for instance, an interpolation scheme. The dissimilarity metric plays an important role in learning a decent 1DME of the original dataset. Our another contribution is to develop a collaborative representation based dissimilarity (CRD) metric. Compared to the conventional Euclidean distance based metric, the proposed method can lead to better results. The experimental results on real-world databases verify the efficacy of the proposed method.

Space-Time Chebyshev Pseudospectral Method for Burgers Equation

2013 ◽  
Vol 475-476 ◽  
pp. 1075-1078
Author(s):  
Jia Chun Liu ◽  
Xiao Hui Qian
Keyword(s):  
Burgers Equation ◽  
Dimensional Space ◽  
Pseudospectral Method ◽  
High Accuracy ◽  
Space Time ◽  
Numerical Results ◽  
One Dimensional ◽  
Chebyshev Pseudospectral Method ◽  
The One ◽  
Chebyshev Pseudospectral

In this paper, we present a new method for solving of the one dimensional Burgers equation, that is the space-time Chebyshev pseudospectral method. Firstly, we discretize the Burgers equation in one dimensional space with Chebyshev pseudospectral method. Finally, numerical results obtained by this way are compared with the exact solution to show the efficiency of the method. The numerical results demonstrate high accuracy and stability of this method.

Nonmonocentric Urban Configurations in a Two-Dimensional Space

1989 ◽  
Vol 21 (3) ◽  
pp. 363-374 ◽  
Author(s):  
H Ogawa ◽  
M Fujita
Keyword(s):  
Land Use ◽  
Dimensional Space ◽  
Urban Land ◽  
Urban Land Use ◽  
Two Dimensional ◽  
Dimensional Model ◽  
Circular Symmetry ◽  
One Dimensional ◽  
Urban Configurations ◽  
The One

A one-dimensional model of nonmonocentric urban land use is extended into a two-dimensional space. Under the assumption of circular symmetry, it is shown that the equilibrium urban configurations in the two-dimensional space are essentially the same as those in the one-dimensional space except for the conditions on the parameters.

scholarly journals The Statistical Properties of theq-Deformed Dirac Oscillator in One and Two Dimensions

2017 ◽  
Vol 2017 ◽  
pp. 1-12 ◽  
Author(s):  
Abdelmalek Boumali ◽  
Hassan Hassanabadi
Keyword(s):  
Quantum Dynamics ◽  
Relativistic Quantum ◽  
Small Deformation ◽  
Two Dimensions ◽  
Dimensional Case ◽  
Two Dimensional ◽  
Dirac Oscillator ◽  
One Dimensional ◽  
Pure Phase ◽  
The One

We study the behavior of the eigenvalues of the one and two dimensions ofq-deformed Dirac oscillator. The eigensolutions have been obtained by using a method based on theq-deformed creation and annihilation operators in both dimensions. For a two-dimensional case, we have used the complex formalism which reduced the problem to a problem of one-dimensional case. The influence of theq-numbers on the eigenvalues has been well analyzed. Also, the connection between theq-oscillator and a quantum optics is well established. Finally, for very small deformationη, we (i) showed the existence of well-knownq-deformed version of Zitterbewegung in relativistic quantum dynamics and (ii) calculated the partition function and all thermal quantities such as the free energy, total energy, entropy, and specific heat. The extension to the case of Graphene has been discussed only in the case of a pure phase (q=eiη).

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