{"title":"Optimization of the positron emission tomography image resolution by using quantum entanglement concept","authors":"H. Eslami, M. Mohamadian","doi":"10.1140/epjp/s13360-024-05776-x","DOIUrl":"10.1140/epjp/s13360-024-05776-x","url":null,"abstract":"<div><p>The application of quantum entanglement in the analysis of photons in PET imaging systems has the potential to significantly improve image quality. By acquiring additional information beyond the conventional PET system data, the polarization of coincidence photons reaching the detectors can optimally separate correct and incorrect received data. Since these photons are entangled, measuring their polarization can provide new information about related photon pairs, or true events. In this research, we demonstrate the potential for using the polarization of entangled photons to improve the image quality of PET imaging systems. We first investigate the theory of Compton scattering of 511 keV gamma photons resulting from positron annihilation using the GEANT4 object-oriented tool. Next, we survey the possibility of using quantum entanglement in a Compton PET system. We then develop new source code in the GATE program to design a new system capable of detecting the polarization of 511 keV gamma photons resulting from positron annihilation, which was not previously possible in this software. This adds a new feature to the GAET software. Finally, we compare the reconstructed images from the new proposed system and conventional PET systems, illustrating a significant enhancement in image quality.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"139 11","pages":""},"PeriodicalIF":2.8,"publicationDate":"2024-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142587724","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Electromagnetic properties of (Omega _{c}^0) resonances via light-cone QCD","authors":"Ulaş Özdem","doi":"10.1140/epjp/s13360-024-05779-8","DOIUrl":"10.1140/epjp/s13360-024-05779-8","url":null,"abstract":"<div><p>We systematically study the electromagnetic properties of controversial states whose internal structure is not elucidated, and we try to offer a different point of view to unravel the internal structure of these states. Inspired by the <span>(Omega _c)</span> states observed by the LHCb Collaboration, we study the electromagnetic properties of the <span>(Omega _c)</span> states as the compact diquark-diquark-antiquark pentaquarks with both <span>(J^P = frac{1}{2}^-)</span> and <span>(J^P = frac{3}{2}^-)</span> in the context of the QCD light-cone sum rule model. From the obtained numerical results, we conclude that the magnetic dipole moments of the <span>(Omega _c)</span> states can reflect their inner structures, which can be used to distinguish their spin-parity quantum numbers. Measuring the magnetic moment of the <span>(Omega _c)</span> states in future experimental facilities can be very helpful for understanding the internal organization and identifying the quantum numbers of these states.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"139 11","pages":""},"PeriodicalIF":2.8,"publicationDate":"2024-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142595614","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Limit residual function method and applications to PDE models","authors":"Ahmad El-Ajou, Aliaa Burqan","doi":"10.1140/epjp/s13360-024-05762-3","DOIUrl":"10.1140/epjp/s13360-024-05762-3","url":null,"abstract":"<div><p>The article focuses on finding analytical series solutions for linear and nonlinear partial differential equations. It introduces a new technique named the limit residual function method, which is used to determine the coefficients of the power series solution of the equations. This method does not require transforming the target equation into another space and rely on the concept of the limit and the residual function. The article discusses various applications to demonstrate the proposed method’s effectiveness, reliability, and ease. These applications cover five types of partial differential equations: Navier–Stokes, reaction–diffusion, Fisher, Klein-Gordon, Poisson, and Hunter–Saxton equations.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"139 11","pages":""},"PeriodicalIF":2.8,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142587714","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Guissiang Thomas, Alexis Paldou Yaya, Alim, Alidou Mohamadou
{"title":"Bright and dark sinks-type solitons for the generalized nonlinear Schrödinger equation in polynomial potential in the presence of external source","authors":"Guissiang Thomas, Alexis Paldou Yaya, Alim, Alidou Mohamadou","doi":"10.1140/epjp/s13360-024-05770-3","DOIUrl":"10.1140/epjp/s13360-024-05770-3","url":null,"abstract":"<div><p>We theoretically investigate bright and dark sinks-type solitons, a kink and anti-kink solitons, bi-solitons and the pulsed solitons for the generalized nonlinear Schrödinger equation in polynomial potential in the presence of external source. For the polynomial potential, based on some powerful transformation methods with different types of expressions in Jacobi elliptic functions or polynomial functions, soliton have been discovered for the generalized nonlinear Schrödinger equation featuring external potential and source. We systematically investigate the property of sinks and offer an appropriate analytical formula for their shape. These results may be useful to explain some nonlinear wave phenomena in Bose–Einstein condensates, nonlinear optics and physics of plasma.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"139 11","pages":""},"PeriodicalIF":2.8,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142579451","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"BRST and related superfield approach to a few interesting models of point particles and a model of bosonic string: a brief review","authors":"A. K. Rao, B. Chauhan, R. P. Malik","doi":"10.1140/epjp/s13360-024-05774-z","DOIUrl":"10.1140/epjp/s13360-024-05774-z","url":null,"abstract":"<div><p>In this brief review-cum-research article, we discuss a few key aspects of the off-shell nilpotent (anti-)BRST symmetry transformations, Curci–Ferrari (CF)-type restriction(s), coupled Lagrangians/Lagrangian densities, etc., for the 1D diffeomorphism (i.e., reparameterization) invariant models of (<i>i</i>) a non-relativistic and non-SUSY free particle, (<i>ii</i>) a scalar (i.e., non-SUSY) relativistic free particle, (<i>iii</i>) a spinning (i.e., SUSY) relativistic free particle, and (<i>iv</i>) a 2D diffeomorphism invariant model of a specific bosonic string theory within the framework of BRST and related supervariable/superfield approach. We take up a <i>new</i> 1D diffeomorphism invariant model of an <i>interacting</i> scalar relativistic particle with the electromagnetic field. The <i>latter</i> is treated as a constant background variable and is, therefore, independent of the evolution parameter. We show that the universal nature of the CF-type restriction is maintained in the case of this <i>new</i> model, too. We exploit the modified Bonora–Tonin supervariable/superfield approach (MBTSA) to BRST formalism in the context of the 1D and 2D diffeomorphism invariant theories to prove the <i>universal</i> nature of the CF-type restriction(s). We further demonstrate that the 1D diffeomorphism invariant models of <i>all</i> kinds of particles are described by the <i>singular</i> Lagrangians. This singular nature has, to the best of our knowledge, <i>not</i> been explicitly shown <i>elsewhere</i>. Thus, these 1D models <i>also</i> respect the gauge symmetry transformations which are generated by the first-class constraints that exist on them. The equivalence of the 1D diffeomorphism and gauge symmetries is <i>also</i> established under specific conditions.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"139 11","pages":""},"PeriodicalIF":2.8,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142587715","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Discrete-time quantum walks in qudit systems","authors":"Amit Saha, Debasri Saha, Amlan Chakrabarti","doi":"10.1140/epjp/s13360-024-05751-6","DOIUrl":"10.1140/epjp/s13360-024-05751-6","url":null,"abstract":"<div><p>Quantum walks contribute significantly to developing quantum algorithms and quantum simulations. Here, we introduce a first of its kind one-dimensional quantum walk in the <i>d</i>-dimensional quantum domain, where <span>(d>2)</span>, and show its equivalence for circuit realization in an arbitrary finite-dimensional quantum logic for utilizing the advantage of larger state space, which helps to reduce the run-time of the quantum walks as compared to the conventional binary quantum systems. We provide efficient quantum circuits for the implementation of discrete-time quantum walks (DTQW) in one-dimensional position space in any finite-dimensional quantum system when the dimension is odd using an appropriate logical mapping of the position space on which a walker evolves onto the multi-qudit states. With example circuits for various qudit state spaces, we also explore scalability in terms of <i>n</i>-qudit <i>d</i>-ary quantum systems. Further, the extension of one-dimensional DTQW to <i>d</i>-dimensional DTQW using 2<i>d</i>-dimensional coin space on <i>d</i>-dimensional lattice has been studied, where <span>(dge 2)</span>. Thereafter, the circuit design for the implementation of scalable <i>d</i>-dimensional DTQW in <i>d</i>-ary quantum systems has been portrayed. Lastly, we exhibit the circuit design for the implementation of DTQW using different coins on various search spaces.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"139 11","pages":""},"PeriodicalIF":2.8,"publicationDate":"2024-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142587716","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
M. Maneesh Kumar, K. Manikandan, R. Sankaranarayanan
{"title":"Finite-sized one-dimensional lazy random walks","authors":"M. Maneesh Kumar, K. Manikandan, R. Sankaranarayanan","doi":"10.1140/epjp/s13360-024-05759-y","DOIUrl":"10.1140/epjp/s13360-024-05759-y","url":null,"abstract":"<div><p>Random walks are fundamental models for describing stochastic processes, where a particle or agent traverses along a trajectory as per the available degrees of freedom, and respecting the constraints in the system. In contrast to traditional random walks, the lazy random walks introduce a finite “resting” probability, allowing the particle to remain at its current location with a certain likelihood, rather than always hopping to adjacent sites. In this study, we explore the behavior of a lazy random walker moving across lattice sites with periodic boundary conditions, taking discrete steps in unit time intervals. We focus on the mixing time, that is, the time interval required for the probability distribution of the walker’s position to spread out across all lattice sites uniformly. Our analysis employs two complementary methods: first, we transform the problem into a solvable eigenvalue framework to derive numerical insights into the mixing time; and in our second approach, we employ a probabilistic perspective that corroborates the numerical results. This dual methodology not only provides a comprehensive understanding of the relationship between mixing time and the number of lattice sites but also offers novel insights into how lazy random walks behave under periodic boundary conditions. The integration of these techniques significantly advances the current understanding of lazy random walks, distinguishing this work from prior studies on regular random walks. Our findings have broad implications for stochastic processes with delayed motion dynamics, thereby paving the way for further theoretical and applied research in this domain.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"139 11","pages":""},"PeriodicalIF":2.8,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142579343","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Closed-form solution for a mathematical extension of the multi-term fractional Bateman equations via Mikusiński operational method","authors":"Marc Jornet","doi":"10.1140/epjp/s13360-024-05772-1","DOIUrl":"10.1140/epjp/s13360-024-05772-1","url":null,"abstract":"<div><p>We give a closed-form solution, in terms of multivariate Mittag–Leffler functions, for a lower triangular linear fractional system consisting of Riemann–Liouville derivatives. For such a task, we use Mikusiński algebraic calculus, while solving a certain difference equation. The system is motivated by an extension of the multi-order fractional Bateman model in nuclear physics. Thus, the paper contributes to the theory of operational analysis in physics.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"139 11","pages":""},"PeriodicalIF":2.8,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjp/s13360-024-05772-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142579341","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Stability and Hopf bifurcation of a HBV infection model with capsids and CTL immune response delay","authors":"Chong Chen, Yinggao Zhou, Zhijian Ye, Mengze Gu","doi":"10.1140/epjp/s13360-024-05764-1","DOIUrl":"10.1140/epjp/s13360-024-05764-1","url":null,"abstract":"<div><p>In this paper, an in-host HBV model with two infection routes including cell-virus infection and cell-cell infection, intracellular delay <span>(tau _1)</span>, virus replication delay <span>(tau _2)</span> and CTL immune response delay <span>(tau _3)</span> are investigated. Firstly, the positivity and boundedness of all solutions for the model with nonnegative initial values have been established. Next, two key parameters with significant biological importance, the virus reproductive number <span>(R_0)</span> and the CTL immune reproductive number <span>(R_1)</span>, are derived. Subsequently, the stability of equilibria is analyzed by constructing appropriate Lyapunov functionals and applying LaSalle’s invariance principle. The results indicate that intracellular delay <span>(tau _1)</span> and virus replication delay <span>(tau _2)</span> do not affect the stability of the three equilibria. However, a positive CTL immune response delay <span>(tau _3)</span> can lead to stability switches at the endemic equilibrium. By treating the CTL immune response delay as a bifurcation parameter, certain conditions for these stability switches are determined. It is concluded that as the CTL immune response delay increases, the endemic equilibrium becomes unstable, resulting in a Hopf bifurcation in the system. Finally, numerical simulations further validate the theoretical findings.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"139 11","pages":""},"PeriodicalIF":2.8,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142573682","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}