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Dunkl-Schrödinger Equation with Time-Dependent Harmonic Oscillator Potential 具有时变谐振子势能的邓克尔-薛定谔方程
IF 1.3 4区 物理与天体物理
International Journal of Theoretical Physics Pub Date : 2024-09-28 DOI: 10.1007/s10773-024-05786-6
A. Benchikha, B. Hamil, B. C. Lütfüoğlu, B. Khantoul
{"title":"Dunkl-Schrödinger Equation with Time-Dependent Harmonic Oscillator Potential","authors":"A. Benchikha,&nbsp;B. Hamil,&nbsp;B. C. Lütfüoğlu,&nbsp;B. Khantoul","doi":"10.1007/s10773-024-05786-6","DOIUrl":"10.1007/s10773-024-05786-6","url":null,"abstract":"<div><p>This paper presents an investigation into one- and three-dimensional harmonic oscillators with time-dependent mass and frequency, within the framework of the Dunkl formalism, which is constituted by replacing the ordinary derivative with the Dunkl derivative. To ascertain a general form of the wave functions the Lewis-Riesenfeld method was employed. Subsequently, an exponentially changing mass function in time was considered and the parity-dependent quantum phase, energy eigenvalues, and the corresponding wave functions were derived in one dimension. The findings revealed that the mirror symmetries affect the wave functions, thus the associated probabilities. Finally, the investigation was extended to the three-dimensional case, where it was demonstrated that, as with the solution of the radial equation, the solutions of the angular equation could be classified according to their mirror symmetries.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 10","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142414884","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
MultiCarroll Dynamics 多卷动态
IF 1.3 4区 物理与天体物理
International Journal of Theoretical Physics Pub Date : 2024-09-27 DOI: 10.1007/s10773-024-05777-7
Pengming Zhang, Huaxuan Zeng, P. A. Horvathy
{"title":"MultiCarroll Dynamics","authors":"Pengming Zhang,&nbsp;Huaxuan Zeng,&nbsp;P. A. Horvathy","doi":"10.1007/s10773-024-05777-7","DOIUrl":"10.1007/s10773-024-05777-7","url":null,"abstract":"<div><p>Unlike a single Carroll particle, a multiparticle Carroll system <u>can move</u> under suitable conditions, as we demonstrate it explicitly for two particles with a momentum-dependent interaction : the center-of-mass remains fixed, however relative motion <u>is</u> possible, confirming previous statements made by Bergshoeff, Casalbuoni, and their collaborators. Analogous results are obtained for electric dipoles with the roles of the center-of-mass and the relative position interchanged.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 10","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142414349","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Entanglement versus Mixedness: A Study using the Output States of Quantum Deleting Machines 纠缠与混合：利用量子删除机输出状态的研究
IF 1.3 4区 物理与天体物理
International Journal of Theoretical Physics Pub Date : 2024-09-27 DOI: 10.1007/s10773-024-05789-3
A Nancy, S Balakrishnan
{"title":"Entanglement versus Mixedness: A Study using the Output States of Quantum Deleting Machines","authors":"A Nancy,&nbsp;S Balakrishnan","doi":"10.1007/s10773-024-05789-3","DOIUrl":"10.1007/s10773-024-05789-3","url":null,"abstract":"<div><p>Our study examines the output states produced by deletion machines, including the Pati-Braunstein (PB) and our proposed deleting machine (DM). We study the specific form of maximally entangled mixed state (MEMS) and Werner state that achieve the highest entanglement for a given level of mixedness. These states are useful in quantum information tasks due to their optimal entanglement for a given mixedness. We considered various entanglement measures (concurrence and negativity) and mixedness measures (linear and von Neumann entropy). We compared the output state of our proposed deletion machine with MEMS and Werner state, finding that our machine creates states with higher mixedness, entanglement in certain input state <span>((alpha ))</span> and entanglement parameter (<i>w</i>, <i>p</i>) ranges. The results indicate that our proposed deletion machine could be effectively utilized in quantum information applications, similar to MEMS and Werner states.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 10","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142414465","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Breathers, Lump, M-shapes and Other Optical Soliton Interactions for the GRIN Multimode Optical Fiber GRIN 多模光纤的呼吸器、结节、M 形和其他光孤子相互作用
IF 1.3 4区 物理与天体物理
International Journal of Theoretical Physics Pub Date : 2024-09-27 DOI: 10.1007/s10773-024-05763-z
Muhammad Zafarullah Baber, Sandeep Malik, Muhammad Waqas Yasin, Nauman Ahmed, Hadi Rezazadeh, Syed Mansoor Ali, Mubasher Ali, Mohammad Ali Hosseinzadeh
{"title":"Breathers, Lump, M-shapes and Other Optical Soliton Interactions for the GRIN Multimode Optical Fiber","authors":"Muhammad Zafarullah Baber,&nbsp;Sandeep Malik,&nbsp;Muhammad Waqas Yasin,&nbsp;Nauman Ahmed,&nbsp;Hadi Rezazadeh,&nbsp;Syed Mansoor Ali,&nbsp;Mubasher Ali,&nbsp;Mohammad Ali Hosseinzadeh","doi":"10.1007/s10773-024-05763-z","DOIUrl":"10.1007/s10773-024-05763-z","url":null,"abstract":"<div><p>The different types of optical soliton solutions are investigated for the 2-dimensional nonlinear Schrödinger equation with an instantaneous Kerr nonlinearity. This equation contains the beam propagation in a multimode optical fiber with a parabolic index profile. Different soliton solutions are examined, such as Breather waves, Lump waves, Mixed types, Periodic cross kink, Multiwave, M-shape, M-shape rational one, two kinks, and rogue waves. To obtain these optical solitons, we apply the Hirota bilinear transformation approach. These results are spectral, temporal, and spatial features of ultrashort light pulses that can be controlled in novel ways by this kind of nonlinear multimode optical fiber, which is gaining popularity. Moreover, the 3-dimensional, 2-dimensional, and contour plots are drawn for some solutions that show their physical interactions by selecting different parameters. These results are very helpful for further study of dynamical systems.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 10","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142414554","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
borelT.m: Borel Transformations in QCD Sum Rules with Mathematica borelT.m：用 Mathematica 计算 QCD 和则中的 Borel 变换
IF 1.3 4区 物理与天体物理
International Journal of Theoretical Physics Pub Date : 2024-09-26 DOI: 10.1007/s10773-024-05791-9
Tarik Akan
{"title":"borelT.m: Borel Transformations in QCD Sum Rules with Mathematica","authors":"Tarik Akan","doi":"10.1007/s10773-024-05791-9","DOIUrl":"10.1007/s10773-024-05791-9","url":null,"abstract":"<div><p>In the literature, there are many algorithms for the computation of Feynman diagrams (Hahn, Nucl. Phys. B Proc. Suppl. <b>89</b>, 231–236 2000; Smirnov and Zeng, Comput. Phys. Commun. <b>302</b>, 109261 2024; Patel, Comput. Phys. Commun. <b>197</b>, 276–290 2015). QCD Sum Rules, however, differ from standard loop computations in several key aspects. One of the fundamental distinctions of the QCD Sum Rules technique is the inclusion of the Borel transformation (Shifman et al. Nucl. Phys. B <b>147</b>, 448–518 1979). To address this critical component, the borelT package is developed in Mathematica (Wolfram Research, Inc., 2023) , ensuring the integration of the Borel transformation into the algorithms.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 9","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142414058","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Lagrangian for Interacting Electric Charge and Magnetic Dipole. Derivation of Interaction Forces in Quantum Effects of the Aharonov-Bohm Type 相互作用电荷和磁偶极子的拉格朗日。阿哈诺夫-玻姆型量子效应中相互作用力的推导
IF 1.3 4区 物理与天体物理
International Journal of Theoretical Physics Pub Date : 2024-09-23 DOI: 10.1007/s10773-024-05784-8
Gianfranco Spavieri
{"title":"Lagrangian for Interacting Electric Charge and Magnetic Dipole. Derivation of Interaction Forces in Quantum Effects of the Aharonov-Bohm Type","authors":"Gianfranco Spavieri","doi":"10.1007/s10773-024-05784-8","DOIUrl":"10.1007/s10773-024-05784-8","url":null,"abstract":"<div><p>We construct the classical interaction Lagrangian for an electric charge <i>q</i> and a magnetic dipole <i>m</i> in relative motion. In the rest frame of <i>m</i> the resulting force acting on <i>q</i> is <span>(textbf{f}_{q}=qtextbf{E}+c^{-1} mathbf {vtimes B}+c^{-1}q(mathbf {vcdot nabla })textbf{A})</span>. Application to the Aharonov-Bohm (AB), and the equivalent Spavieri effect, indicates that the observed AB phase shift is due to the classical lag effect between interfering particles caused by the local force <span>(c^{-1}q(mathbf {vcdot nabla })textbf{A}=(mathbf {vcdot nabla })textbf{Q}_{em})</span> with nonvanishing longitudinal component in the direction of motion and with <span>(textbf{Q}_{em})</span> representing the gauge-invariant electromagnetic momentum. Our results confirm the validity of the same expression for <span>(textbf{f}_{q})</span> derived in literature with an approach based on the stress-energy tensor <span>(T^{mu nu })</span>, Maxwell’s equations, and the momentum conservation law. Similar results apply to the force <span>(textbf{f}_{m}=-textbf{f}_{q})</span> acting on <i>m</i>, indicating conservation of the action and reaction principle in the effects of AB type, which can be interpreted classically in terms of the lag effect caused by a local force.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 9","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142413346","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Deterministic and Probabilistic Short-Distance Teleportation of an Unknown Three-Qubit State 未知三ubit 状态的确定性和概率性短距离传输
IF 1.3 4区 物理与天体物理
International Journal of Theoretical Physics Pub Date : 2024-09-23 DOI: 10.1007/s10773-024-05783-9
Manoj Kumar Mandal, Binayak S. Choudhury, Plaban Saha
{"title":"Deterministic and Probabilistic Short-Distance Teleportation of an Unknown Three-Qubit State","authors":"Manoj Kumar Mandal,&nbsp;Binayak S. Choudhury,&nbsp;Plaban Saha","doi":"10.1007/s10773-024-05783-9","DOIUrl":"10.1007/s10773-024-05783-9","url":null,"abstract":"<div><p>Teleportation across short distances has become relevant in view of some recent developments in quantum technology. The advantage here is that certain auxiliary qubits can be accessed and utilized by both the sender and the receiver. Such an act reduces the requirement of the number of qubits in the entangled quantum channel which would have been otherwise necessary. In this paper we present a short-distance teleportation protocol by which an unknown three-qubit state can be transferred with the help of auxiliary qubits and a maximally entangled Bell State. In the second part of the paper we introduce a probabilistic short-distance protocol for the same unknown three-qubit state by using a non-maximally entangled Bell-state. The success probability of the protocol is calculated and its relation with the first protocol is discussed. We presented a circuit diagram for the first protocol and executed it in the IBM-Quantum platform.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 9","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142413344","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Dynamics of Quasi-Exponential Expansion: Scalar Field Potential Insights 准指数膨胀动力学：标量场势能的启示
IF 1.3 4区 物理与天体物理
International Journal of Theoretical Physics Pub Date : 2024-09-21 DOI: 10.1007/s10773-024-05754-0
Sahit Kumar, S. D. Pathak, Maxim Khlopov
{"title":"Dynamics of Quasi-Exponential Expansion: Scalar Field Potential Insights","authors":"Sahit Kumar,&nbsp;S. D. Pathak,&nbsp;Maxim Khlopov","doi":"10.1007/s10773-024-05754-0","DOIUrl":"10.1007/s10773-024-05754-0","url":null,"abstract":"<div><p>Our current observations have not definitively determined the exact form of the expansion factor of spacetime. It is possible that we are experiencing a transitional stage of expansion, characterized by a combination of inflation and power-law expansion. We consider spatially homogeneous tachyon scalar fields, quintessence, and phantom fields as potential candidates for dynamical dark energy. The time-dependent potentials and fields of these three classes of scalar fields are calculated for three different mixed forms of the scale factor of expansion: firstly, a logarithmic function of time; secondly, a linear combination of power law functions of time; and thirdly, a product of power law and exponential functions of time, respectively.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 9","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142413017","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Propagation of Optical Solitons to the Fractional Resonant Davey-Stewartson Equations 光学孤子对分数共振戴维-斯图瓦特森方程的传播
IF 1.3 4区 物理与天体物理
International Journal of Theoretical Physics Pub Date : 2024-09-21 DOI: 10.1007/s10773-024-05769-7
Usman Younas, Jan Muhammad, Hadi Rezazadeh, Mohammad Ali Hosseinzadeh, Soheil Salahshour
{"title":"Propagation of Optical Solitons to the Fractional Resonant Davey-Stewartson Equations","authors":"Usman Younas,&nbsp;Jan Muhammad,&nbsp;Hadi Rezazadeh,&nbsp;Mohammad Ali Hosseinzadeh,&nbsp;Soheil Salahshour","doi":"10.1007/s10773-024-05769-7","DOIUrl":"10.1007/s10773-024-05769-7","url":null,"abstract":"<div><p>In this work, we investigate the exact solutions of (2+1)-dimensional coupled resonant Davey-Stewartson equation (DSE) with the properties of truncated M-fractional derivative. It is a significant equation system that models wave packets in different fields. DSE and its coupling with other system have interesting properties and many applications in the fields of nonlinear sciences. The concept of resonant is quite important in optics, plasma physics, magneto-acoustic waves and fluid dynamics. In order to use newly designed integration method known as modified Sardar subequation method (MSSEM), we first convert the (2+1)-dimensional fractional coupled resonant DSE into a set of nonlinear ordinary diferential equations. To acquire the exact solutions, the ordinary differential equation is solved by applying the homogeneous balance method between the highest power terms and the highest derivative of the ordinary differential equation. The optical soliton solutions of the resultant system are investigated using different cases and physical constant values. The aforementioned technique is applied to the considered model, yielding several kinds of soliton solutions, such as mixed, dark, singular, bright-dark, bright, complex and combined solitons. In addition, exponential, periodic, and hyperbolic solutions are also obtained. Also, we plot the 2D, and 3D graphs with the associated parameter values to visualize the solutions. The findings of this work will help to identify and clarify some novel soliton solutions and it is expected that the solutions obtained will play a vital role in the fields of physics and engineering.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 9","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142412953","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Diatomic Molecules in deSitter and Anti-deSitter Spaces 德西特和反德西特空间中的双原子分子
IF 1.3 4区 物理与天体物理
International Journal of Theoretical Physics Pub Date : 2024-09-19 DOI: 10.1007/s10773-024-05781-x
Meriem Abdelaziz, Mustafa Moumni, Mokhtar Falek
{"title":"Diatomic Molecules in deSitter and Anti-deSitter Spaces","authors":"Meriem Abdelaziz,&nbsp;Mustafa Moumni,&nbsp;Mokhtar Falek","doi":"10.1007/s10773-024-05781-x","DOIUrl":"10.1007/s10773-024-05781-x","url":null,"abstract":"<div><p>The Schrödinger equation for diatomic molecules in deSitter and anti-deSitter spaces is studied using the extended uncertainty principle formulation. The equations are solved by the Nikiforov-Uvarov method for both the Kratzer potential and the pseudoharmonic oscillator. The energy eigenvalues of the system have been derived analytically, and the exact expressions of the eigenfunctions are provided in terms of Romanovski and Jacobi polynomials. The impact of the spatial deformation parameter on the bound states is also examined, with experimental results used to establish an upper limit for this parameter.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 9","pages":""},"PeriodicalIF":1.3,"publicationDate":"2024-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142263862","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
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