TY - JOUR AU - Hälterlein, Jens ID - 43278 IS - 1 JF - Big Data & Society TI - Epistemologies of predictive policing: Mathematical social science, social physics and machine learning VL - 8 ER - TY - JOUR AB - Let E be an ordinary elliptic curve over a finite field and g be a positive integer. Under some technical assumptions, we give an algorithm to span the isomorphism classes of principally polarized abelian varieties in the isogeny class of E⁹ . The varieties are first described as hermitian lattices over (not necessarily maximal) quadratic orders and then geometrically in terms of their algebraic theta null point. We also show how to algebraically compute Siegel modular forms of even weight given as polynomials in the theta constants by a careful choice of an affine lift of the theta null point. We then use these results to give an algebraic computation of Serre’s obstruction for principally polarized abelian threefolds isogenous to E³ and of the Igusa modular form in dimension 4. We illustrate our algorithms with examples of curves with many rational points over finite fields. AU - Kirschmer, Markus AU - Narbonne, Fabien AU - Ritzenthaler, Christophe AU - Robert, Damien ID - 34912 IS - 333 JF - Mathematics of Computation KW - Applied Mathematics KW - Computational Mathematics KW - Algebra and Number Theory SN - 0025-5718 TI - Spanning the isogeny class of a power of an elliptic curve VL - 91 ER - TY - GEN AU - Schroeter-Wittke, Harald ID - 41088 SN - 0540–6226 T2 - Jahrbuch für Evangelische Kirchengeschichte des Rheinlandes TI - Anette Baumann / Alexander Jendorff / Frank Theisen (Hgg.), Religion – Migration – Integration. Studien zu Wechselwirkungen religiös motivierter Mobilität im vormodernen Europa, Tübingen 2019 VL - 70 ER - TY - GEN AU - Schroeter-Wittke, Harald ID - 41090 SN - 0540–6226 T2 - Jahrbuch für Evangelische Kirchengeschichte des Rheinlandes TI - Hendrik Meyer-Magister, Wehrdienst und Verweigerung als komplementäres Handeln. Individualisierungsprozesse im bundesdeutschen Protestantismus der 1950er Jahre (RBRD 7), Tübingen 2019 VL - 70 ER - TY - GEN AU - Schroeter-Wittke, Harald ID - 41091 SN - 0540–6226 T2 - Jahrbuch für Evangelische Kirchengeschichte des Rheinlandes TI - Jutta Stander-Dulisch, Glaubenskrisen, Neue Religionen und der Papst. Religion in „Stern“ und Spiegel“ von 1960 bis 2014, Bielefeld 2019 VL - 70 ER - TY - JOUR AB - The relativistic wave equations determine the dynamics of quantum fields in the context of quantum field theory. One of the conventional tools for dealing with the relativistic bound state problem is the Klein-Fock-Gordon equation. In this work, using a developed scheme, we present how to surmount the centrifugal part and solve the modified Klein-Fock-Gordon equation for the linear combination of Hulthén and Yukawa potentials. In particular, we show that the relativistic energy eigenvalues and corresponding radial wave functions are obtained from supersymmetric quantum mechanics by applying the shape invariance concept. Here, both scalar potential conditions, which are whether equal and nonequal to vector potential, are considered in the calculation. The energy levels and corresponding normalized eigenfunctions are represented as a recursion relation regarding the Jacobi polynomials for arbitrary l states. Beyond that, a closed form of the normalization constant of the wave functions is found. Furthermore, we state that the energy eigenvalues are quite sensitive with potential parameters for the quantum states. The nonrelativistic and relativistic results obtained within SUSY QM overlap entirely with the results obtained by ordinary quantum mechanics, and it displays that the mathematical implementation of SUSY quantum mechanics is quite perfect. AU - Ahmadov, A. I. AU - Aslanova, S. M. AU - Orujova, M. Sh. AU - Badalov, S. V. ED - Vagnozzi, Sunny ID - 44042 JF - Advances in High Energy Physics KW - Nuclear and High Energy Physics SN - 1687-7365 TI - Analytical Bound State Solutions of the Klein-Fock-Gordon Equation for the Sum of Hulthén and Yukawa Potential within SUSY Quantum Mechanics VL - 2021 ER - TY - CONF AU - Meydani, Elnaz AU - Düsing, Christoph AU - Trier, Matthias ID - 44073 T2 - Innovation Through Information Systems: Volume II: A Collection of Latest Research on Technology Issues TI - Towards a Trust-Aware Item Recommendation System on a Graph Autoencoder with Attention Mechanism ER - TY - JOUR AU - Neufeld, Sergej AU - Bocchini, Adriana AU - Schmidt, Wolf Gero ID - 22310 JF - Physical Review Materials SN - 2475-9953 TI - Potassium titanyl phosphate Z- and Y-cut surfaces from density-functional theory ER - TY - JOUR AU - Plaickner, Julian AU - Speiser, Eugen AU - Braun, Christian AU - Schmidt, Wolf Gero AU - Esser, Norbert AU - Sanna, Simone ID - 22008 JF - Physical Review B SN - 2469-9950 TI - Surface localized phonon modes at the Si(553)-Au nanowire system ER - TY - JOUR AU - Meier, Lukas AU - Schmidt, Wolf Gero ID - 40244 IS - 1 JF - physica status solidi (b) KW - Condensed Matter Physics KW - Electronic KW - Optical and Magnetic Materials SN - 0370-1972 TI - GaInP/AlInP(001) Interfaces from Density Functional Theory VL - 259 ER - TY - JOUR AU - Ruiz Alvarado, Isaac Azahel AU - Karmo, Marsel AU - Runge, Erich AU - Schmidt, Wolf Gero ID - 22009 JF - ACS Omega SN - 2470-1343 TI - InP and AlInP(001)(2 × 4) Surface Oxidation from Density Functional Theory ER - TY - JOUR AB - We perform a theoretical analysis of the structural and electronic properties of sodium potassium niobate K1-xNaxNbO3 in the orthorhombic room-temperature phase, based on density-functional theory in combination with the supercell approach. Our results for x=0 and x=0.5 are in very good agreement with experimental measurements and establish that the lattice parameters decrease linearly with increasing Na contents, disproving earlier theoretical studies based on the virtual-crystal approximation that claimed a highly nonlinear behavior with a significant structural distortion and volume reduction in K0.5Na0.5NbO3 compared to both end members of the solid solution. Furthermore, we find that the electronic band gap varies very little between x=0 and x=0.5, reflecting the small changes in the lattice parameters. AU - Bidaraguppe Ramesh, Nithin AU - Schmidt, Falko AU - Schindlmayr, Arno ID - 22960 IS - 8 JF - The European Physical Journal B SN - 1434-6028 TI - Lattice parameters and electronic band gap of orthorhombic potassium sodium niobate K0.5Na0.5NbO3 from density-functional theory VL - 94 ER - TY - JOUR AU - Friedrich, Christoph AU - Blügel, Stefan AU - Schindlmayr, Arno ID - 22761 IS - 3 JF - Physical Review B SN - 2469-9950 TI - Erratum: Efficient implementation of the GW approximation within the all-electron FLAPW method [Phys. Rev. B 81, 125102 (2010)] VL - 104 ER - TY - JOUR AB - Uniaxial anisotropy in nonlinear birefringent crystals limits the efficiency of nonlinear optical interactions and breaks the spatial symmetry of light generated in the parametric down-conversion (PDC) process. Therefore, this effect is usually undesirable and must be compensated for. However, high gain may be used to overcome the destructive role of anisotropy in order to generate bright two-mode correlated twin-beams. In this work, we provide a rigorous theoretical description of the spatial properties of bright squeezed light in the presence of strong anisotropy. We investigate a single crystal and a system of two crystals with an air gap (corresponding to a nonlinear SU(1,1) interferometer) and demonstrate the generation of bright correlated twin-beams in such configurations at high gain due to anisotropy. We explore the mode structure of the generated light and show how anisotropy, together with crystal spacing, can be used for radiation shaping. AU - Riabinin, M. AU - Sharapova, Polina AU - Meier, Torsten ID - 37334 IS - 14 JF - Optics Express KW - Atomic and Molecular Physics KW - and Optics SN - 1094-4087 TI - Bright correlated twin-beam generation and radiation shaping in high-gain parametric down-conversion with anisotropy VL - 29 ER - TY - JOUR AU - Geraldi, Andrea AU - De, Syamsundar AU - Laneve, Alessandro AU - Barkhofen, Sonja AU - Sperling, Jan AU - Mataloni, Paolo AU - Silberhorn, Christine ID - 26287 JF - Physical Review Research SN - 2643-1564 TI - Transient subdiffusion via disordered quantum walks ER - TY - JOUR AU - Tiedau, J. AU - Engelkemeier, M. AU - Brecht, Benjamin AU - Sperling, Jan AU - Silberhorn, Christine ID - 21021 JF - Physical Review Letters SN - 0031-9007 TI - Statistical Benchmarking of Scalable Photonic Quantum Systems VL - 126 ER - TY - JOUR AU - Prasannan, Nidhin AU - De, Syamsundar AU - Barkhofen, Sonja AU - Brecht, Benjamin AU - Silberhorn, Christine AU - Sperling, Jan ID - 26286 JF - Physical Review A SN - 2469-9926 TI - Experimental entanglement characterization of two-rebit states VL - 103 ER - TY - JOUR AU - Köhnke, S. AU - Agudelo, E. AU - Schünemann, M. AU - Schlettwein, O. AU - Vogel, W. AU - Sperling, Jan AU - Hage, B. ID - 26285 JF - Physical Review Letters SN - 0031-9007 TI - Quantum Correlations beyond Entanglement and Discord ER - TY - JOUR AB - Employing the ultrafast control of electronic states of a semiconductor quantum dot in a cavity, we introduce an approach to achieve on-demand emission of single photons with almost perfect indistinguishability and photon pairs with near ideal entanglement. Our scheme is based on optical excitation off resonant to a cavity mode followed by ultrafast control of the electronic states using the time-dependent quantum-confined Stark effect, which then allows for cavity-resonant emission. Our theoretical analysis considers cavity-loss mechanisms, the Stark effect, and phonon-induced dephasing, allowing realistic predictions for finite temperatures. AU - Bauch, David AU - Heinze, Dirk Florian AU - Förstner, Jens AU - Jöns, Klaus AU - Schumacher, Stefan ID - 23816 JF - Physical Review B KW - tet_topic_qd SN - 2469-9950 TI - Ultrafast electric control of cavity mediated single-photon and photon-pair generation with semiconductor quantum dots VL - 104 ER - TY - JOUR AB - AbstractA detailed investigation of the energy levels of perylene-3,4,9,10-tetracarboxylic tetraethylester as a representative compound for the whole family of perylene esters was performed. It was revealed via electrochemical measurements that one oxidation and two reductions take place. The bandgaps determined via the electrochemical approach are in good agreement with the optical bandgap obtained from the absorption spectra via a Tauc plot. In addition, absorption spectra in dependence of the electrochemical potential were the basis for extensive quantum-chemical calculations of the neutral, monoanionic, and dianionic molecules. For this purpose, calculations based on density functional theory were compared with post-Hartree–Fock methods and the CAM-B3LYP functional proved to be the most reliable choice for the calculation of absorption spectra. Furthermore, spectral features found experimentally could be reproduced with vibronic calculations and allowed to understand their origins. In particular, the two lowest energy absorption bands of the anion are not caused by absorption of two distinct electronic states, which might have been expected from vertical excitation calculations, but both states exhibit a strong vibronic progression resulting in contributions to both bands. AU - Wiebeler, Christian AU - Vollbrecht, Joachim AU - Neuba, Adam AU - Kitzerow, Heinz-Siegfried AU - Schumacher, Stefan ID - 39653 IS - 1 JF - Scientific Reports KW - Multidisciplinary SN - 2045-2322 TI - Unraveling the electrochemical and spectroscopic properties of neutral and negatively charged perylene tetraethylesters VL - 11 ER -