Annalen der Physik最新文献

{"title":"Nucleation Instability Preempts Relativistic Domain Wall Transport in High-Exchange Ferrimagnetic Nanowires","authors":"Pietro Diona","doi":"10.1002/andp.70312","DOIUrl":"https://doi.org/10.1002/andp.70312","url":null,"abstract":"<div>\u0000 \u0000 <p>Current-driven domain wall motion in ferrimagnets can approach the spin-wave velocity, giving rise to relativistic-like dynamics. While this regime has been experimentally observed in crystalline ferrimagnetic garnets and amorphous GdFeCo, the material conditions that determine whether it can be accessed remain unresolved. Here, we investigate spin-orbit-torque-driven domain wall motion in high-exchange GdCo nanowires using magneto-optical Kerr effect microscopy. We find that nucleation preempts relativistic transport. In GdCo, neither velocity saturation nor high-field collapse is observed. Instead, the large exchange interaction raises the maximum spin-wave group velocity to <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mo>≈</mo>\u0000 <mn>7</mn>\u0000 <mo>−</mo>\u0000 <mn>9</mn>\u0000 <mspace></mspace>\u0000 <mi>km</mi>\u0000 <mo>/</mo>\u0000 <mi>s</mi>\u0000 </mrow>\u0000 <annotation>$approx 7{-}9nobreakspace mathrm{km/s}$</annotation>\u0000 </semantics></math>, far above the experimentally accessible domain wall velocities. Before this limit can be approached, increasing current density and in-plane magnetic field induce domain nucleation, disrupting steady-state propagation. We map the boundary separating domain wall transport from nucleation instability and show that the nucleation threshold decreases with pulse duration, consistent with thermally assisted barrier crossing. These results identify nucleation as the mechanism that prevents access to the relativistic regime in high-exchange ferrimagnets and establish a dynamical phase boundary between steady propagation and nucleation.</p>\u0000 </div>","PeriodicalId":7896,"journal":{"name":"Annalen der Physik","volume":"538 10","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149205614","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}

{"title":"Prediction of a Narrow Direct Bandgap in Tetragonal Zintl-Phase NaMgBi","authors":"Ding-qing Li,&nbsp;Chong Tian,&nbsp;Jun-jie Shi,&nbsp;Juan Du,&nbsp;Hong-xia Zhong,&nbsp;Deng-hui Xu,&nbsp;Pei-song He,&nbsp;Yao-hui Zhu","doi":"10.1002/andp.70310","DOIUrl":"https://doi.org/10.1002/andp.70310","url":null,"abstract":"<div>\u0000 \u0000 <p>Although the Zintl compound NaMgBi has been synthesized in the tetragonal PbFCl-type phase, its accurate electronic structure is still unknown. This calculation is difficult because the conventional density functional theory (DFT) underestimates the bandgap, and the strong spin–orbit coupling (SOC) decreases the bandgap as well. Consequently, the usual DFT+SOC calculation predicts a false semimetallic band structure. Here, the GW approximation is used to calculate the accurate electronic structure of NaMgBi including the SOC. Our eigenvalue self-consistent <span></span><math>\u0000 <semantics>\u0000 <msub>\u0000 <mi>GW</mi>\u0000 <mn>0</mn>\u0000 </msub>\u0000 <annotation>${rm GW}_0$</annotation>\u0000 </semantics></math> (<span></span><math>\u0000 <semantics>\u0000 <msub>\u0000 <mi>EVGW</mi>\u0000 <mn>0</mn>\u0000 </msub>\u0000 <annotation>${rm EVGW}_0$</annotation>\u0000 </semantics></math>) results show that NaMgBi has a direct bandgap of 0.47 eV instead of an indirect one predicted by the DFT calculations neglecting the SOC. Although our calculations based on the <span></span><math>\u0000 <semantics>\u0000 <msub>\u0000 <mi>EVGW</mi>\u0000 <mn>0</mn>\u0000 </msub>\u0000 <annotation>${rm EVGW}_0$</annotation>\u0000 </semantics></math> results indicate that NaMgBi is trivial topologically, the solution of the Bethe–Salpeter equation shows that its exciton binding energy is 0.14 eV and the excitonic absorption coefficient can reach 10<span></span><math>\u0000 <semantics>\u0000 <msup>\u0000 <mrow></mrow>\u0000 <mn>5</mn>\u0000 </msup>\u0000 <annotation>$^5$</annotation>\u0000 </semantics></math>–10<span></span><math>\u0000 <semantics>\u0000 <msup>\u0000 <mrow></mrow>\u0000 <mn>6</mn>\u0000 </msup>\u0000 <annotation>$^6$</annotation>\u0000 </semantics></math> <span></span><math>\u0000 <semantics>\u0000 <msup>\u0000 <mi>cm</mi>\u0000 <mrow>\u0000 <mo>−</mo>\u0000 <mn>1</mn>\u0000 </mrow>\u0000 </msup>\u0000 <annotation>${rm cm}^{-1}$</annotation>\u0000 </semantics></math> in the infrared and visible light range, making it a promising optoelectronic material.</p>\u0000 </div>","PeriodicalId":7896,"journal":{"name":"Annalen der Physik","volume":"538 10","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149205613","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}

{"title":"A Pauli-Matrix Formulation of the 3D Maxwell One-Way Wave Equation","authors":"Maria Bazini,&nbsp;Elena Psychogiou,&nbsp;Maria Barlou,&nbsp;Konstantinos G. Baskourelos,&nbsp;Kosmas L. Tsakmakidis","doi":"10.1002/andp.70314","DOIUrl":"https://doi.org/10.1002/andp.70314","url":null,"abstract":"<p>Building on the recent work in [K. L. Tsakmakidis, et al., <i>Nature Communications</i> 16, 5719 (2025)], we analyze the therein introduced Pauli-matrix first-order formulation pertaining to the Engquist-Majda <i>one-way</i> wave problem. We show that the Pauli formulation provides a local doubled matrix factorization whose Hamiltonian is unitarily equivalent to a rotated Weyl Hamiltonian. Because the doubled system contains both longitudinal roots, exact recovery of one scalar one-way branch requires a nonlocal spectral projector. For homogeneous Maxwell fields, the auxiliary branch space should be distinguished from the two-dimensional physical polarization space, leading to a four-component polarization-preserving lift. Numerical snapshots illustrate one-way directional propagation in the selected sector.</p>","PeriodicalId":7896,"journal":{"name":"Annalen der Physik","volume":"538 10","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/andp.70314","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149205615","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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":"Interfacial Engineering and Tunable Interlayer Coupling in Perpendicularly Magnetized Co2FeSi/Pt Multilayer Films","authors":"Chaofan Zhang,&nbsp;Jagadish Kumar Galivarapu,&nbsp;Wenjie Zhi,&nbsp;Ke Wang","doi":"10.1002/andp.70311","DOIUrl":"https://doi.org/10.1002/andp.70311","url":null,"abstract":"<div>\u0000 \u0000 <p>The influences of a Ta buffer layer and film thickness on the perpendicular magnetic anisotropy (PMA) of Pt/Co₂FeSi (CFS)/Pt multilayers was systematically investigated. Insertion of a Ta underlayer significantly improves interface quality and extends the CFS thickness window for strong PMA from 0.8–1.0 to 0.8–1.2 nm. The optimal PMA is achieved at a CFS thickness of 1.0 nm, yielding an effective anisotropy energy density (K_e_ff) of 1.89 × 10⁶ erg/cm³—a 56.1% enhancement over samples without the Ta layer. Further optimization of the Ta and Pt layer thicknesses to 8 nm and 16 nm, respectively, results in a pronounced increase in PMA, with K_e_ff reaching 3.86 × 10⁶ erg/cm³. In asymmetric CFS (0.8 nm)/Pt/CFS (1.2 nm) trilayers, increasing the Pt spacer thickness above 3 nm drives a transition from ferromagnetic coupling to a magnetically decoupled state. Moreover, with increasing repetition number (n), the out-of-plane hysteresis loops develop a pinched character, indicating a crossover in the magnetization reversal mechanism from domain-wall motion to nucleation-dominated behavior. The identified correlations between interfacial structure, layer thickness, and magnetic anisotropy provide a rational design framework for Co₂FeSi-based perpendicular multilayer systems.</p>\u0000 </div>","PeriodicalId":7896,"journal":{"name":"Annalen der Physik","volume":"538 10","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149205470","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}

{"title":"Magnetically Assisted Tunneling Across a Static WS2 Barrier","authors":"Rachid El Aitouni,&nbsp;E. H. Chahid,&nbsp;Allan R. P. Moreira","doi":"10.1002/andp.70302","DOIUrl":"https://doi.org/10.1002/andp.70302","url":null,"abstract":"<div>\u0000 \u0000 <p>We investigate the transmission properties of fermions in an n–p–n junction of tungsten disulfide (<span></span><math>\u0000 <semantics>\u0000 <msub>\u0000 <mi>WS</mi>\u0000 <mn>2</mn>\u0000 </msub>\u0000 <annotation>${rm WS}_2$</annotation>\u0000 </semantics></math>) subjected to a gate potential applied in the region where the ferromagnetic insulator is deposited. The eigenvalue equations allow us to determine the energy spectrum, the corresponding wave vectors, and the wave functions in each of the three regions of the junction. The continuity of the wave function at the two interfaces of the structure is used to derive the transmission and reflection coefficients. The continuity equation is then applied to determine the current density, which leads to the calculation of the transmission and reflection probabilities. The Büttiker relation is employed to evaluate the conductance, from which the spin and valley polarizations are obtained. The gate voltage acts as an electrostatic potential shift that serves as a tunable barrier, while the exchange field governs fermion dynamics and polarization. Spin and valley transmissions show oscillatory behaviors, and perfect transmission due to Fabry–Pérot interference is progressively suppressed as the gate potential increases. The spin and valley polarization can reach values close to <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mo>±</mo>\u0000 <mn>100</mn>\u0000 <mo>%</mo>\u0000 </mrow>\u0000 <annotation>$pm 100%$</annotation>\u0000 </semantics></math> within specific incidence-angle windows, demonstrating strong but angle-selective spin–valley filtering.</p>\u0000 </div>","PeriodicalId":7896,"journal":{"name":"Annalen der Physik","volume":"538 10","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149146222","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}

{"title":"Germain Curvature: The Case for Naming the Mean Curvature of a Surface After Sophie Germain","authors":"Douglas P. Holmes","doi":"10.1002/andp.70308","DOIUrl":"https://doi.org/10.1002/andp.70308","url":null,"abstract":"<div>\u0000 \u0000 <p>The mathematician Sophie Germain identified the mean curvature as the essential quantity for describing the shapes of vibrating plates in the early nineteenth century. Her intuition that the elasticity of thin sheets was governed by geometry was a radical one at the time, as it was in opposition to the prevailing “molecular mentality.” In her correspondence with Gauss, she proposed a geometric measure that constructs a “sphere of mean curvature” at each point. Her hypothesis eventually led to the equations governing thin, elastic plates. Beyond elasticity, we now recognize the importance of this geometric measure in fluid dynamics, geometrical optics, biophysics, and materials science. Despite her pioneering contributions, Germain has not been fully credited for recognizing the mathematical and physical significance of mean curvature.</p>\u0000 </div>","PeriodicalId":7896,"journal":{"name":"Annalen der Physik","volume":"538 10","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149146221","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}

{"title":"Correction to “Quantization of the Electromagnetic Fields From Single Atomic or Molecular Radiators”","authors":"","doi":"10.1002/andp.70307","DOIUrl":"https://doi.org/10.1002/andp.70307","url":null,"abstract":"&lt;p&gt;V.Raicu, &lt;i&gt;“&lt;/i&gt;Quantization of the Electromagnetic Fields From Single Atomic or Molecular Radiators.” &lt;i&gt;Annalen der Physik&lt;/i&gt; 538, no. 2 (2026): e00443. https://doi.org/10.1002/andp.202500443&lt;/p&gt;&lt;p&gt;Equation (75) inadvertently repeated the expression in Equation (74). It should have read:&lt;/p&gt;&lt;p&gt;“ &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mover&gt;\u0000 &lt;mi&gt;G&lt;/mi&gt;\u0000 &lt;mo&gt;⃗&lt;/mo&gt;\u0000 &lt;/mover&gt;\u0000 &lt;mo&gt;=&lt;/mo&gt;\u0000 &lt;msub&gt;\u0000 &lt;mi&gt;ε&lt;/mi&gt;\u0000 &lt;mi&gt;v&lt;/mi&gt;\u0000 &lt;/msub&gt;\u0000 &lt;mspace&gt;&lt;/mspace&gt;\u0000 &lt;mo&gt;∫&lt;/mo&gt;\u0000 &lt;mspace&gt;&lt;/mspace&gt;\u0000 &lt;mspace&gt;&lt;/mspace&gt;\u0000 &lt;mspace&gt;&lt;/mspace&gt;\u0000 &lt;mo&gt;∫&lt;/mo&gt;\u0000 &lt;mspace&gt;&lt;/mspace&gt;\u0000 &lt;mspace&gt;&lt;/mspace&gt;\u0000 &lt;mspace&gt;&lt;/mspace&gt;\u0000 &lt;munderover&gt;\u0000 &lt;mo&gt;∫&lt;/mo&gt;\u0000 &lt;mi&gt;∞&lt;/mi&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mo&gt;−&lt;/mo&gt;\u0000 &lt;mi&gt;∞&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/munderover&gt;\u0000 &lt;msup&gt;\u0000 &lt;mi&gt;d&lt;/mi&gt;\u0000 &lt;mn&gt;3&lt;/mn&gt;\u0000 &lt;/msup&gt;\u0000 &lt;msub&gt;\u0000 &lt;mi&gt;k&lt;/mi&gt;\u0000 &lt;mn&gt;1&lt;/mn&gt;\u0000 &lt;/msub&gt;\u0000 &lt;msup&gt;\u0000 &lt;mi&gt;d&lt;/mi&gt;\u0000 &lt;mn&gt;3&lt;/mn&gt;\u0000 &lt;/msup&gt;\u0000 &lt;mi&gt;k&lt;/mi&gt;\u0000 &lt;mspace&gt;&lt;/mspace&gt;\u0000 &lt;msub&gt;\u0000 &lt;mi&gt;ω&lt;/mi&gt;\u0000 &lt;msub&gt;\u0000 &lt;mi&gt;k&lt;/mi&gt;\u0000 &lt;mn&gt;1&lt;/mn&gt;\u0000 &lt;/msub&gt;\u0000 &lt;/msub&gt;\u0000 &lt;mi&gt;k&lt;/mi&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mo&gt;[&lt;/mo&gt;\u0000 &lt;mrow&gt;\u0000 &lt;msup&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mo&gt;(&lt;/mo&gt;\u0000 &lt;mrow&gt;\u0000 &lt;msub&gt;\u0000 &lt;mover&gt;\u0000 &lt;mi&gt;k&lt;/mi&gt;\u0000 &lt;mo&gt;̂&lt;/mo&gt;\u0000 &lt;/mover&gt;\u0000 &lt;mn&gt;1&lt;/mn&gt;\u0000 &lt;/msub&gt;\u0000 &lt;mo&gt;·&lt;/mo&gt;\u0000 &lt;mover&gt;\u0000 &lt;mi&gt;z&lt;/mi&gt;\u0000 &lt;mo&gt;̂&lt;/mo&gt;\u0000 &lt;/mover&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;mo&gt;)&lt;/mo&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;mn&gt;2&lt;/mn&gt;\u0000 ","PeriodicalId":7896,"journal":{"name":"Annalen der Physik","volume":"538 10","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/andp.70307","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149145874","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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":"Thermodynamic Topology and Periodic Orbits of Ayón–Beato–García Black Hole Coupled With a Cloud of Strings","authors":"Naba Jyoti Gogoi,&nbsp;Dhruba Jyoti Gogoi,&nbsp;Jyatsnasree Bora","doi":"10.1002/andp.70303","DOIUrl":"https://doi.org/10.1002/andp.70303","url":null,"abstract":"&lt;div&gt;\u0000 \u0000 &lt;p&gt;In this work, we systematically investigate the Ayón–Beato–García (ABG) regular black hole coupled with a cloud of strings from two distinct yet complementary perspectives: macroscopic thermodynamic topology and microscopic strong-field orbital dynamics. First, employing Duan's topological mapping theory via the generalized thermodynamic potential &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mi&gt;F&lt;/mi&gt;\u0000 &lt;annotation&gt;$mathcal {F}$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;, we classify the black hole's phase structure. We observe two branches of the inverse temperature &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mi&gt;τ&lt;/mi&gt;\u0000 &lt;annotation&gt;$tau$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; curve with associated winding numbers &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;msub&gt;\u0000 &lt;mi&gt;w&lt;/mi&gt;\u0000 &lt;mn&gt;1&lt;/mn&gt;\u0000 &lt;/msub&gt;\u0000 &lt;mo&gt;=&lt;/mo&gt;\u0000 &lt;mo&gt;+&lt;/mo&gt;\u0000 &lt;mn&gt;1&lt;/mn&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$w_1 = +1$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; and &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;msub&gt;\u0000 &lt;mi&gt;w&lt;/mi&gt;\u0000 &lt;mn&gt;2&lt;/mn&gt;\u0000 &lt;/msub&gt;\u0000 &lt;mo&gt;=&lt;/mo&gt;\u0000 &lt;mo&gt;−&lt;/mo&gt;\u0000 &lt;mn&gt;1&lt;/mn&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$w_2 = -1$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;, yielding a globally invariant topological class of &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;W&lt;/mi&gt;\u0000 &lt;mo&gt;=&lt;/mo&gt;\u0000 &lt;mn&gt;0&lt;/mn&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$W=0$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;. We find that this topological number remains unaffected by variations in the magnetic monopole charge &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mi&gt;g&lt;/mi&gt;\u0000 &lt;annotation&gt;$g$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; and the string cloud parameter &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mi&gt;a&lt;/mi&gt;\u0000 &lt;annotation&gt;$a$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;. Second, we analyze the geodesic motion of massive test particles to model Extreme Mass-Ratio Inspiral (EMRI) systems. We rigorously determine the bounding radii, demonstrating that an increasing magnetic charge regularizes the core and pulls the Innermost Stable Circular Orbit (ISCO) inward, whereas the string cloud parameter pushes it outward. By mapping the &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mo&gt;(&lt;/mo&gt;\u0000 &lt;mi&gt;L&lt;/mi&gt;\u0000 &lt;mo&gt;,&lt;/mo&gt;\u0000 &lt;mi&gt;E&lt;/mi&gt;\u0000 &lt;mo&gt;)&lt;/mo&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$(L, E)$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; phase space, we clas","PeriodicalId":7896,"journal":{"name":"Annalen der Physik","volume":"538 10","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149145718","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}

{"title":"Machine Learning-Assisted Analytical–Numerical Framework for Bound-State Spectra of Screened and Perturbed Potentials","authors":"Souraya Goumri-Said,&nbsp;Mohammed Benali Kanoun","doi":"10.1002/andp.70305","DOIUrl":"https://doi.org/10.1002/andp.70305","url":null,"abstract":"<div>\u0000 \u0000 <p>Analytical constraints, numerical convergence, and uncertainty calibration establish a framework for reliable machine learning predictions of quantum bound-state energies. A screened cosine Coulomb interaction and a Pöschl–Teller well with a regularized odd perturbation are solved using finite-difference diagonalization. The Nikiforov–Uvarov reduction provides exact eigenvalues and eigenfunctions for the unperturbed well, while the radial Coulomb limit supplies a benchmark. The dataset contains 4306 accepted levels from 4000 sampled Hamiltonians, separated into training, validation, calibration, and test subsets at the Hamiltonian level. Five-network ensembles achieve test mean absolute errors of 0.00820 and 0.00707, with prediction-interval coverage of 96.54% and 95.88% for the screened and perturbed-well families, respectively. Direct numerical tests of 600 Hamiltonians reveal parameter-dependent extrapolation accuracy and coverage. Reflection symmetry, ground-state concavity, second-order perturbation theory, and Hellmann–Feynman derivatives explain spectral trends. A grid-resolved regularization scan confirms that smoothing changes the spectrum and constitutes a model specification. These results support accurate interpolation of resolved bound states while identifying limitations associated with extrapolation, regularization, and the sparse representation of higher excited states. The framework distinguishes numerical convergence diagnostics from statistical prediction uncertainty and separates Hamiltonian properties from constraints explicitly imposed on the learned energy models through their symmetry-based input descriptors.</p>\u0000 </div>","PeriodicalId":7896,"journal":{"name":"Annalen der Physik","volume":"538 10","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149145681","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}

{"title":"On the Limits of a Space-Time Description and the Physical Meaning of Phase Space in a Nonlocal Continuum","authors":"E. J. Thompson","doi":"10.1002/andp.70287","DOIUrl":"https://doi.org/10.1002/andp.70287","url":null,"abstract":"<p>In a previous paper we derived an uncertainty relation for nonlocal fields by showing that the physical localization width in nonlocal quantum field theory is broadened by the response kernel generated from the entire-function regulator. In this follow up we reinterpret that result as just the position-sector limit of a more symmetric statement because we did not take into account the inherent nonlocality of momentum. We find and we prove under normalized, centered response kernels for both position and momentum the variance laws and derive the corresponding nonlocal phase-space uncertainty relation. The result still preserves the conclusions of the original paper while strengthening the interpretation as nonlocal quantum field theory implies not merely a minimal measurable length, but a finite phase-space cell. We also explore experimental routes to test the theory.</p>","PeriodicalId":7896,"journal":{"name":"Annalen der Physik","volume":"538 10","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/andp.70287","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149145547","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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}