The European Physical Journal Plus最新文献_第9页

Transient fractional dusty fluid flow in a superhydrophobic microchannel 超疏水微通道中暂态分数粉尘流体的流动

IF 2.8 3区物理与天体物理

The European Physical Journal Plus Pub Date : 2025-05-07 DOI: 10.1140/epjp/s13360-025-06311-2

M. M. Hamza, A. Y. Balarabe, Muhammad Ibrahim, D. O. Akpootu, A. Sheriff

{"title":"Transient fractional dusty fluid flow in a superhydrophobic microchannel","authors":"M. M. Hamza, A. Y. Balarabe, Muhammad Ibrahim, D. O. Akpootu, A. Sheriff","doi":"10.1140/epjp/s13360-025-06311-2","DOIUrl":"10.1140/epjp/s13360-025-06311-2","url":null,"abstract":"<div>This study uses fractional derivatives in Caputo–Fabrizio (CF) and Atangana–Baleanu in Caputo sense (ABC) forms to provide a thorough investigation of heat transfer and flow dynamics in superhydrophobic microchannels with dusty fluid under magnetohydrodynamic (MHD) effects. The precision and flexibility of the model to transient thermal systems are improved by the fractional derivatives, which take nonlocal memory effects into account. The governing equations for temperature and velocity profiles are solved under laminar, incompressible flow conditions using the Riemann sum approximation (RSA) for numerical inversion of Laplace transforms. The findings show that while the ABC model provides longer thermal retention, the CF model is more appropriate for situations needing rapid thermal stabilization. The results of the study demonstrate the important role that fractional parameters play in heat transfer and velocity behaviors, allowing for customized solutions for a range of engineering systems. Applications include energy-efficient designs, cooling systems, and thermal insulation in sectors that need accurate fluid and temperature management.</div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"140 5","pages":""},"PeriodicalIF":2.8,"publicationDate":"2025-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143913797","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}

引用次数: 0

IBIC analysis of a linear position sensitive detector: model and experiment 线性位置敏感探测器的IBIC分析：模型与实验

IF 2.8 3区物理与天体物理

The European Physical Journal Plus Pub Date : 2025-05-07 DOI: 10.1140/epjp/s13360-025-06291-3

Ettore Vittone, Georgios Provatas, Karla Ivanković Nizić, Milko Jaksic

{"title":"IBIC analysis of a linear position sensitive detector: model and experiment","authors":"Ettore Vittone, Georgios Provatas, Karla Ivanković Nizić, Milko Jaksic","doi":"10.1140/epjp/s13360-025-06291-3","DOIUrl":"10.1140/epjp/s13360-025-06291-3","url":null,"abstract":"<div>The ion beam-induced charge (IBIC) analysis of a commercial silicon photodiode configured as a position sensitive detector (PSD) for energetic charged particles is the subject of this report. Although the photodiode is designed for detecting the position of incident light and optimized for use in the UV region, we present evidence that it also performs well as a detector for ions, with energies in the MeV range. The device consists of a uniform p-type layer formed on a high-resistivity n-type semiconductor substrate, a pair of electrodes on both ends of the resistive layer, and a common electrode located on the backside of the substrate. The IBIC experiment was carried out at the Laboratory for Ion Beam Interaction of the Ruder Boskovic Institute in Zagreb (HR), using 2 MeV proton microbeam raster scanning the (2.5 mm × 0.6 mm) active area of the PSD. Each of the three electrodes was connected to independent standard NIM charge-sensitive electronic chain and the induced charge pulses associated with the position of individual ions were then digitized using a multi-channel analyzer interfaced with the SPECTOR software. The longitudinal charge collection efficiency profiles acquired from the top electrodes show linear behaviors with opposite slopes, whereas the profile relevant to the signals from the back electrode is almost constant. A model based on the IBIC theory satisfactorily interprets these results. It offers an alternative viewpoint to the commonly adopted Lateral Effect Photodiode principle and paves the way for the development of new PSDs for the identification of the impact position of a MeV ion with a resolution at the micrometer scale.</div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"140 5","pages":""},"PeriodicalIF":2.8,"publicationDate":"2025-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjp/s13360-025-06291-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143918988","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}

引用次数: 0

Simulated reflection spectra of copper red glaze and gold ruby-pink enamel 铜红釉和金红宝石粉釉的模拟反射光谱

IF 2.8 3区物理与天体物理

The European Physical Journal Plus Pub Date : 2025-05-07 DOI: 10.1140/epjp/s13360-025-06287-z

Gen Li, Cui Jia, Baoqiang Kang, He Li, Yong Lei

{"title":"Simulated reflection spectra of copper red glaze and gold ruby-pink enamel","authors":"Gen Li, Cui Jia, Baoqiang Kang, He Li, Yong Lei","doi":"10.1140/epjp/s13360-025-06287-z","DOIUrl":"10.1140/epjp/s13360-025-06287-z","url":null,"abstract":"<div>Copper red glaze and gold ruby-pink enamel are two typical ancient red glazes with high artistic value. At present, researchers already have a good knowledge of copper red glaze, but due to the scarcity of samples, people's understanding of gold ruby-pink enamel is still insufficient and mostly stays at the qualitative level. Based on the multiple scattering theory, we have previously established a framework to calculate the reflection spectra of such colloidal colored glazes and proved that metallic copper nanoparticles are the main colorants of copper red glazes. In this paper, we used this model to systematically study the reflection spectra of copper red glaze and gold ruby-pink enamel under different particle diameters, volume fractions, glaze thickness, and refractive indices of glaze and discussed the relationship between these parameters and the observed glaze color. Then, starting from the basis of Mie scattering theory, the difference in the optical properties of these two red glazes is clearly explained by calculating the scattering coefficients and absorption coefficients of nanoparticles with different particle sizes.</div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"140 5","pages":""},"PeriodicalIF":2.8,"publicationDate":"2025-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143918989","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}

引用次数: 0

A double exponential Morse potential energy function for diatomic molecules 双原子分子的双指数摩尔斯势能函数

IF 2.8 3区物理与天体物理

The European Physical Journal Plus Pub Date : 2025-05-07 DOI: 10.1140/epjp/s13360-025-06317-w

Changyi He, Zhixiang Fan, Hongrui Tian, Qunchao Fan, Huidong Li, Jia Fu, Feng Xie

{"title":"A double exponential Morse potential energy function for diatomic molecules","authors":"Changyi He, Zhixiang Fan, Hongrui Tian, Qunchao Fan, Huidong Li, Jia Fu, Feng Xie","doi":"10.1140/epjp/s13360-025-06317-w","DOIUrl":"10.1140/epjp/s13360-025-06317-w","url":null,"abstract":"<div>In this work, we have proposed and tested a double exponential Morse (DEM) potential energy function (PEF) which describes the interatomic interactions of diatomic molecules. The DEM PEF, composed of the remedy function to the Morse PEF, is used to describe the vibrational motion for the ground electronic states of Br2 and Cl2 molecules. Comparing the Morse and DEM potential energy functions (PEFs), only three experimental spectral constants like (D_{e} ,;omega_{e} ,;{text{and}};r_{e}) for both cases are needed to be taken into account. Furthermore, the potential energy curves (PECs) and the vibrational energy levels for the ground electronic states of Br2 and Cl2 molecules are calculated by the DEM potential, Hulburt–Hirschfelder (HH) potential, Morse potential, improved multiparameter exponential-type (IMPET) potential and Huxley–Murrell (HM) potential. The results reveal that the DEM potential fits the Rydberg–Klein–Rees (RKR) data much better against other potentials, especially in the medium-long range regions. The vibrational energy levels derived from the DEM PEF align more closely with the experimental data. Moreover, the DEM potential provides opportunities for theoretical calculations of reduced molar Gibbs free energy and the molar entropy in a temperature range of 100–6000 K.<h3>Graphical abstract</h3>Overview of the PECs for the ground electronic state of Br2 molecule.\u0000<div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"140 5","pages":""},"PeriodicalIF":2.8,"publicationDate":"2025-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143918990","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}

引用次数: 0

Study of magnetic field frequency effect on the atomic and thermal behavior of paraffin/Cu nanostructure in a tube with non-connected rotating ribs 磁场频率对非连接旋转肋管中石蜡/铜纳米结构原子和热行为影响的研究

IF 2.8 3区物理与天体物理

The European Physical Journal Plus Pub Date : 2025-05-06 DOI: 10.1140/epjp/s13360-025-06266-4

Behrouz Salahshour, Davood Toghraie, Saeed Jafari Mehrabadi, Arash Karimipour, Peyman Yousefi

{"title":"Study of magnetic field frequency effect on the atomic and thermal behavior of paraffin/Cu nanostructure in a tube with non-connected rotating ribs","authors":"Behrouz Salahshour, Davood Toghraie, Saeed Jafari Mehrabadi, Arash Karimipour, Peyman Yousefi","doi":"10.1140/epjp/s13360-025-06266-4","DOIUrl":"10.1140/epjp/s13360-025-06266-4","url":null,"abstract":"<div>This study uses molecular dynamics simulations to examine the effects of different external magnetic field frequencies on the atomic and thermal properties of a paraffin/copper composite in a tube with rotating ribs. A stable starting state was first achieved via a 10-ns equilibration phase, which produced a temperature of 300 K and kinetic and potential energies of 0.026 kcal/mol and 1.424 kcal/mol, respectively. Several important properties of the simulated atomic sample were found to be dramatically changed when the external magnetic field frequency increased from 0.1 to 0.5 fs⁻1. The highest atomic velocity decreased somewhat from 0.00499 to 0.00490 Å/fs, whereas the maximum density increased significantly from 0.0842 to 0.0847 atom/Å3. Furthermore, the highest temperature of the system decreased from 775 to 758 K, suggesting a decrease in thermal energy associated with the higher frequencies. Alongside this shift, the heat flow decreased from 5.68 to 5.60 W/m2, indicating changes in the properties of thermal transport. Additionally, thermal conductivity decreased from 0.79 to 0.71 W/m·K. It seems that the material increased more sensitivity to magnetic fields at higher frequencies since the charging time increased from 6.06 to 6.18 ns. The phase change material’s discharge time increased from 7.11 to 7.15 ns when the external magnetic field frequency increased from 0.1 to 0.2 fs−1. It is interesting to note that a little increase in frequency to 0.3 fs−1 caused the discharge time to decrease to 7.14 ns; nevertheless, when the frequency increased to 0.5 fs−1, the discharge time increased once again and stabilized at 7.15 ns.</div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"140 5","pages":""},"PeriodicalIF":2.8,"publicationDate":"2025-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143913871","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}

引用次数: 0

Multi-scroll dynamics and coexisting attractors in electromagnetic-induced Hopfield networks 电磁诱导Hopfield网络中的多涡旋动力学和共存吸引子

IF 2.8 3区物理与天体物理

The European Physical Journal Plus Pub Date : 2025-05-06 DOI: 10.1140/epjp/s13360-025-06310-3

T. M. C. Priyanka, D. Vignesh, A. Gowrisankar, Jun Ma

{"title":"Multi-scroll dynamics and coexisting attractors in electromagnetic-induced Hopfield networks","authors":"T. M. C. Priyanka, D. Vignesh, A. Gowrisankar, Jun Ma","doi":"10.1140/epjp/s13360-025-06310-3","DOIUrl":"10.1140/epjp/s13360-025-06310-3","url":null,"abstract":"<div>Excitatory and inhibitory neuronal activity generates neural oscillations, these oscillations are vital for functioning of brain. Improving knowledge about these neural oscillations helps us better comprehend neurological disorders. This article explores a 4D Hopfield neural network combined with memristive electromagnetic induction and pulse current stimulation, which has practical significance in the emerging field of artificial intelligence. The research analyzes the dynamical behavior of proposed Hopfield network consisting of four neurons by supplying external stimulus to second neuron via memristor and exposing fourth neuron to pulse current. Lyapunov exponents and bifurcation diagrams are studied with the choice of memristive internal parameter as bifurcation parameter. As a result of sensitivity to initial conditions, various biscroll and multilayer attractors are generated illustrating their state transitions with time series plots. In addition, coexisting bifurcation and attractors are presented for different selection of multilevel-logic pulse current and it is observed that the pulse current parameter governs the number of scrolls and structure of attractors. Multilayer attractors corresponding to the external input applied to the memristor elements are displayed to investigate the transition of the system states through time series plots and phase plane portraits. This work, in particular, improves our understanding of brain activity while also providing insights into the neural mechanisms, leading to neurological conditions.</div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"140 5","pages":""},"PeriodicalIF":2.8,"publicationDate":"2025-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143908816","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}

引用次数: 0

A novel time-delayed stochastic epidemic modeling approach incorporating Crowley–Martin incidence and nonlinear holling type II treatment rate 一种考虑Crowley-Martin发病率和非线性II型治疗率的时滞随机流行病建模方法

IF 2.8 3区物理与天体物理

The European Physical Journal Plus Pub Date : 2025-05-06 DOI: 10.1140/epjp/s13360-025-06300-5

Abdeldjalil Kadri, Ahmed Boudaoui, Seham M. Al-Mekhlafi, Saif Ullah, Mohammed Asiri, Muhammad Bilal Riaz

{"title":"A novel time-delayed stochastic epidemic modeling approach incorporating Crowley–Martin incidence and nonlinear holling type II treatment rate","authors":"Abdeldjalil Kadri, Ahmed Boudaoui, Seham M. Al-Mekhlafi, Saif Ullah, Mohammed Asiri, Muhammad Bilal Riaz","doi":"10.1140/epjp/s13360-025-06300-5","DOIUrl":"10.1140/epjp/s13360-025-06300-5","url":null,"abstract":"<div>Mathematical modeling of infectious disease is essential for understanding the impact of various epidemiological factors and stochastic influences on disease spread. In this study, we investigate a stochastic compartmental epidemic model with time delays, featuring a Crowley–Martin (C-M) incidence rate alongside a holling type II (HT-II) treatment rate. Initially, we demonstrate the existence and uniqueness of a positive global solution to the model. Subsequently, we establish sufficient conditions that lead to the extinction of the disease. A suitability constructed Lyapunov function is used to confirm the presence of a stationary distribution (SD). In epidemiology, the presence of a stationary distribution indicates that the disease will persist over the long term. Additionally, the Fokker–Planck equation is solved to obtain the exact analytical form of the probability density function (PDF) that describes the behavior of the stochastic model near its unique endemic quasi-equilibrium. In statistical analysis, the explicit density function can capture and represent all the dynamical features of an epidemic model. Finally, a comprehensive simulation is provided to support and illustrate our theoretical results, offering practical insights into the model’s behavior. This work contributes to the development of more accurate predictive models that can assist public health policymakers in designing effective disease control strategies and intervention plans to mitigate the spread of infectious diseases.</div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"140 5","pages":""},"PeriodicalIF":2.8,"publicationDate":"2025-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143913870","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}

引用次数: 0

(fleft( R,phi right) ) cosmology with the parametrization of H(z) parameter (fleft( R,phi right) ) 用H(z)参数化的宇宙学

IF 2.8 3区物理与天体物理

The European Physical Journal Plus Pub Date : 2025-05-05 DOI: 10.1140/epjp/s13360-025-06299-9

Neeru Goyal, Anil Kumar Yadav, S. H. Shekh, Aditya Sharma Ghrera

{"title":"(fleft( R,phi right) ) cosmology with the parametrization of H(z) parameter","authors":"Neeru Goyal, Anil Kumar Yadav, S. H. Shekh, Aditya Sharma Ghrera","doi":"10.1140/epjp/s13360-025-06299-9","DOIUrl":"10.1140/epjp/s13360-025-06299-9","url":null,"abstract":"<div>Building FRW cosmological models within the context of the (f(R,phi )) theory of gravity is our goal in this effort. We investigate the universe’s accelerating behavior for a specific form of the (f(R,phi )) gravity model by employing a new, straightforward parametrization of the Hubble parameter in the form (H(z)=frac{H_0}{sqrt{2}}left[ 1+(1+z)^{(2(1+alpha )) } right] ^{frac{1}{2}}). Using the (chi ^2)-minimization approach, we impose constraints on the related free parameters that are present in H(z) within the (1sigma ), (2sigma ), and (3sigma ) confidence bounds. It has been observed that the values obtained are all within the range that is indicated by cosmological observations. Through the utilization of the free parameter best-fit values, we have ascertained the current geometrical parameter values and illustrated the Universe’s accelerating behavior. Through the use of physical characteristics such as energy density, pressure, and equation of state parameter, we have talked about the physical behavior of the cosmos in our model. Additionally, we have looked at the kinematic parameters such as the jerk, deceleration, and Hubble parameters of the cosmos in our model. The deceleration parameter q(z) in our model represents the phase transition of the cosmos from deceleration to acceleration. Additionally, the deceleration parameter’s current value is (q_0=-0.361), and the transition redshift value is (z_t=0.62). This kind of situation is closely linked to the conventional (Lambda )CDM model.</div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"140 5","pages":""},"PeriodicalIF":2.8,"publicationDate":"2025-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143904685","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}

引用次数: 0

High dielectric constant in calcium-substituted GdMnO3 for storage device applications 高介电常数钙取代GdMnO3的存储器件应用

IF 2.8 3区物理与天体物理

The European Physical Journal Plus Pub Date : 2025-05-05 DOI: 10.1140/epjp/s13360-025-06307-y

Supriya Priyadarshinee, Jayashree Pati, Ranjita Mahapatra, Pragyan Mohanty, Jyoshnarani Mohapatra, Dilip Kumar Mishra

{"title":"High dielectric constant in calcium-substituted GdMnO3 for storage device applications","authors":"Supriya Priyadarshinee, Jayashree Pati, Ranjita Mahapatra, Pragyan Mohanty, Jyoshnarani Mohapatra, Dilip Kumar Mishra","doi":"10.1140/epjp/s13360-025-06307-y","DOIUrl":"10.1140/epjp/s13360-025-06307-y","url":null,"abstract":"<div>Gd0.7Ca0.3MnO3 and Gd0.67Ca0.33MnO3 ceramics have been synthesized by solid-state reaction method at 950 °C. Crystalline nature and orthorhombic structure have been confirmed from the XRD analysis. Loosely packed grains of different shapes with small amount of porosity are observed from the SEM analysis. The room temperature dielectric constant of Gd0.7Ca0.3MnO3 and Gd0.67Ca0.33MnO3 samples are found to be 4775 and 318 with a dielectric loss factor of 1.48 and 2.40, respectively, at 1 kHz frequency. The observed room temperature dielectric constant value of Gd0.7Ca0.3MnO3 is quite higher as compared to the dielectric constant values of substituted GdMnO3 reported in the previous literatures. The observation of these dielectric values at room temperature with low dielectric loss factor makes both the materials suitable for applications in memory storage devices. Non-Debye type of relaxation mechanism has been confirmed from the impedance and modulus analysis. The optical energy band gap of Gd0.7Ca0.3MnO3 and Gd0.67Ca0.33MnO3 is found to be 3.1 eV and 2.89 eV, respectively.</div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"140 5","pages":""},"PeriodicalIF":2.8,"publicationDate":"2025-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143908746","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}

引用次数: 0

An analogue of the Pöschl–Teller anharmonic oscillator on an N-dimensional sphere n维球面上Pöschl-Teller非谐振子的模拟

IF 2.8 3区物理与天体物理

The European Physical Journal Plus Pub Date : 2025-05-05 DOI: 10.1140/epjp/s13360-025-06252-w

Radosław Szmytkowski

{"title":"An analogue of the Pöschl–Teller anharmonic oscillator on an N-dimensional sphere","authors":"Radosław Szmytkowski","doi":"10.1140/epjp/s13360-025-06252-w","DOIUrl":"10.1140/epjp/s13360-025-06252-w","url":null,"abstract":"<div>A Schrödinger particle on an N-dimensional ((Ngeqslant 2)) hypersphere of radius R is considered. The particle is subjected to the action of a force characterized by the potential (V(theta )=2momega _{1}^{2}R^{2}tan ^{2}(theta /2) +2momega _{2}^{2}R^{2}cot ^{2}(theta /2)), where (0leqslant theta leqslant pi) is the hyperlatitude angular coordinate. In the general case when (omega _{1}ne omega _{2}), this is a model of a hyperspherical analogue of the Pöschl–Teller anharmonic oscillator. Energy eigenvalues and normalized eigenfunctions for this system are found in closed analytical forms. For (N=2), our results reproduce those obtained by Kazaryan et al. (Physica E 52:122, 2013). For (Ngeqslant 2) arbitrary and for (omega _{2}=0), the results of Mardoyan and Petrosyan (J. Contemp. Phys. 48:70, 2013) for their model of an isotropic hyperspherical harmonic oscillator are recovered. The Euclidean limit for the anharmonic oscillator in question is also discussed.</div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"140 5","pages":""},"PeriodicalIF":2.8,"publicationDate":"2025-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjp/s13360-025-06252-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143908747","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}

引用次数: 0