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Electron-phonon coupling (EPC) is fundamental for understanding the behavior of molecules and crystals, influencing phenomena such as charge transport, energy transfer, phase transitions, and polaron formation. Accurate computational…

Chemical Physics · Physics 2025-07-29 Konrad Merkel , Maximilian F. X. Dorfner , Manuel Engel , Georg Kresse , Frank Ortmann

We have developed a new formulation to obtain self-gravitating, axisymmetric configurations in permanent rotation. The formulation is based on the Lagrangian variational principle, and treats not only barotropic but also baroclinic…

Solar and Stellar Astrophysics · Physics 2017-03-15 Nobutoshi Yasutake , Kotaro Fujisawa , Shoichi Yamada

We present a fast method for generating random samples according to a variable density Poisson-disc distribution. A minimum threshold distance is used to create a background grid array for keeping track of those points that might affect any…

Image and Video Processing · Electrical Eng. & Systems 2021-06-17 Nicholas Dwork , Corey A. Baron , Ethan M. I. Johnson , Daniel O'Connor , John M. Pauly , Peder E. Z. Larson

We develop an exact computational method based on numerical X-propagators for solving polaron models with arbitrary nonlinear couplings of local vibration modes to the electron density and magnitude of the hopping amplitude. Our approach…

Bipolaron energies are calculated as a function of wave vector by a variational method of Gurari appropriate for weak or intermediate coupling strengths, for a model with electron-phonon interactions independent of phonon wave vectors and a…

Superconductivity · Physics 2009-11-11 D. M. Eagles , R. M. Quick , B. Schauer

We show how to systematically improve the Momentum Average (MA)approximation for the Green's function of a Holstein polaron, bysystematically improving the accuracy of the self-energy diagrams in such a way that they can still all be summed…

Strongly Correlated Electrons · Physics 2009-11-13 Mona Berciu , Glen L. Goodvin

Strongly correlated electron systems require the development of new theoretical schemes in order to describe their unusual and unexpected properties. The usual perturbation schemes are inadequate and new concepts must be introduced. In our…

Strongly Correlated Electrons · Physics 2016-08-31 F. Mancini , A. Avella

A new scheme for constructing approximate effective electron potentials within density-functional theory is proposed. The scheme consists of calculating the effective potential for a series of reference systems, and then using these…

Condensed Matter · Physics 2016-08-14 K. Stokbro , N. Chetty , K. W. Jacobsen , J. K. Nørskov

We present an approach for generating local numerical basis sets of improving accuracy for first-principles nanoplasmonics simulations within time-dependent density functional theory. The method is demonstrated for copper, silver, and gold…

Materials Science · Physics 2015-09-04 Tuomas P. Rossi , Susi Lehtola , Arto Sakko , Martti J. Puska , Risto M. Nieminen

Vectorial structured light with spatially varying amplitude, phase, and polarization is reshaping many areas of modern optics, including nonlinear optics, as diverse parametric processes can be used to explore interactions between such…

The DBI and special galileon theories exhibit a conformal symmetry at unphysical values of the spacetime dimension. We find the Lagrangian form of this symmetry. The special conformal transformations are non-linearly realized on the fields,…

High Energy Physics - Theory · Physics 2021-08-18 Kara Farnsworth , Kurt Hinterbichler , Ondrej Hulik

In this paper, we propose a novel approach to the problem of augmenting distance-based formation controllers with a secondary constraint for the purpose of preventing 3D formation ambiguities. Specifically, we introduce three controlled…

Systems and Control · Electrical Eng. & Systems 2020-12-15 Tairan Liu , Marcio de Queiroz

The variational procedure to construct compact and accurate wave functions for three-electron atoms and ions is developed. The procedure is based on the use of six-dimensional gaussoids written in the relative four-body coordinates $r_{12},…

Atomic Physics · Physics 2011-01-11 Alexei M. Frolov , David M. Wardlaw

The generalization of the conformal scattering method for small-angle scattering processes involving magnetic monopoles and ordinary charges is constructed. Using this generalization we show that introducing of magnetic charges corresponds…

Quantum Physics · Physics 2015-06-26 M. Penttinen

We have developed a new formulation to obtain self-gravitating, axisymmetric configurations in permanent rotation. The formulation is based on the Lagrangian variational principle with a triangulated mesh. It treats not only barotropic but…

High Energy Astrophysical Phenomena · Physics 2016-09-21 Nobutoshi Yasutake , Kotaro Fujisawa , Shoichi Yamada

We experimentally observe the generation of magnon harmonics and subharmonics in an on-chip surface acoustic wave resonator incorporating a thin Co$_{20}$Fe$_{60}$B$_{20}$ film, using micro-focused Brillouin light scattering. In our…

Finite-range numerical atomic orbitals are the basis functions of choice for several first principles methods, due to their flexibility and scalability. Generating and testing such basis sets, however, remains a significant challenge for…

Chemical Physics · Physics 2013-11-12 Fabiano Corsetti , M. -V. Fernández-Serra , José M. Soler , Emilio Artacho

Selfdual variational principles are introduced in order to construct solutions for Hamiltonian and other dynamical systems which satisfy a variety of linear and nonlinear boundary conditions including many of the standard ones. These…

Analysis of PDEs · Mathematics 2007-05-23 Nassif Ghoussoub , Abbas Moameni

Potential resonances are usually investigated either directly in the complex energy plane or indirectly in the complex angular momentum plane. Another formulation complementing these two is presented in this work. It is an indirect method…

Mathematical Physics · Physics 2009-11-10 A. D. Alhaidari

Results of the recently developed unitary isobar model (MAID) are presented for the spin asymmetries, structure functions and relevant sum rules in the resonance region. The model describes the presently available data for single-pion…

Nuclear Theory · Physics 2007-05-23 L. Tiator , D. Drechsel , S. S. Kamalov