Suchergebnisse - Computational methods for problems pertaining to quantum theory

On action ground states of defocusing nonlinear Schrödinger equations

Autoren: Wei Liu Chushan Wang Xiaofei Zhao

Quelle: Mathematical Models and Methods in Applied Sciences. 35:39-74

Schlagwörter: energy ground state, NLS equations (nonlinear Schrödinger equations), Asymptotic behavior of solutions to PDEs, action ground state, Numerical Analysis (math.NA), Variational principles in infinite-dimensional spaces, Computational methods for problems pertaining to quantum theory, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, rotation, numerical simulations, Mathematics - Analysis of PDEs, 35B38, 35Q55, 58E30, 81-08, asymptotics, Time-dependent Schrödinger equations and Dirac equations, Finite difference methods for initial value and initial-boundary value problems involving PDEs, FOS: Mathematics, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, defocusing nonlinear Schrödinger equation, Spectral, collocation and related methods for boundary value problems involving PDEs, Mathematics - Numerical Analysis, quantized vortices, Critical points of functionals in context of PDEs (e.g., energy functionals), Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs, Analysis of PDEs (math.AP)

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2311.02890
https://zbmath.org/8005753
https://doi.org/10.1142/s0218202525500022

Scalable semidefinite programming approach to variational embedding for quantum many-body problems

Autoren: Yuehaw Khoo Michael Lindsey

Quelle: Journal of Computational Physics. 510:113041

Schlagwörter: augmented Lagrangian, quantum embedding, 0211 other engineering and technologies, Mathematical sciences, FOS: Physical sciences, 02 engineering and technology, Atomic, Computational methods for problems pertaining to quantum theory, 01 natural sciences, Mathematical Sciences, Engineering, Numerical mathematical programming methods, Many-body theory, quantum Hall effect, 0103 physical sciences, FOS: Mathematics, Semidefinite programming, quantum many-body problem, Mathematics - Optimization and Control, Quantum Physics, Augmented Lagrangian, Applied Mathematics, Molecular and Optical Physics, semidefinite programming, Computational Physics (physics.comp-ph), Physical sciences, Quantum many-body problem, Optimization and Control (math.OC), Physical Sciences, Quantum embedding, Quantum Physics (quant-ph), Physics - Computational Physics

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: http://arxiv.org/abs/2106.02682
https://escholarship.org/content/qt0m60z443/qt0m60z443.pdf
https://escholarship.org/uc/item/0m60z443

Solitons for a generalized reaction–diffusion equation with the higher‐order power‐law nonlinearity in (1+1)‐ and (2+1)‐dimensional systems: Solitons for a generalized reaction-diffusion equation with the higher-order power-law nonlinearity in (1+1)- and (2+1)-dimensional systems

Autoren: Xiaogang Tang Daju Wang Keyu Bao et al.

Quelle: Mathematical Methods in the Applied Sciences. 47:14960-14975

Schlagwörter: nonlinear dynamics, Soliton equations, 0103 physical sciences, F-expansion method, reaction-diffusion equation, Computational methods for problems pertaining to quantum theory, soliton, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7996629
https://doi.org/10.1002/mma.10313

Error estimates of exponential wave integrators for the Dirac equation in the massless and nonrelativistic regime

Autoren: Ying Ma Lizhen Chen

Quelle: Numerical Methods for Partial Differential Equations. 40

Schlagwörter: Computational methods for problems pertaining to quantum theory, 01 natural sciences, Fourier pseudospectral method, Error bounds for initial value and initial-boundary value problems involving PDEs, exponential wave integrator, Time-dependent Schrödinger equations and Dirac equations, 0103 physical sciences, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, Spectral, collocation and related methods for boundary value problems involving PDEs, Dirac equation, Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs, massless and nonrelativistic regime, \(\varepsilon\)-scalability

Dateibeschreibung: application/xml

Reconfigured continuous normalized gradient flow for computing ground states of Bose-Einstein condensates

Autoren: Wang, Hao Cai, Wenjun Song, Yongzhong et al.

Quelle: Computer Physics Communications. 309:109506

Schlagwörter: reconfigured continuous normalized gradient flow, Bose-Einstein condensate, Applications to the sciences, spin-1 Bose-Einstein condensate, NLS equations (nonlinear Schrödinger equations), supplementary variable method, Stability and convergence of numerical methods for boundary value problems involving PDEs, Computational methods for problems pertaining to quantum theory, continuous normalized gradient flow

Dateibeschreibung: application/xml

Quantum Monte Carlo methods and general decomposition theory of exponential operators and symplectic integrators

Autoren: Masuo Suzuki

Quelle: Physica A: Statistical Mechanics and its Applications. 205:65-79

Schlagwörter: 0103 physical sciences, Monte Carlo methods, Computational methods for problems pertaining to quantum theory, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/551580
https://doi.org/10.1016/0378-4371(94)90491-x
http://www.sciencedirect.com/science/article/pii/037843719490491X
https://econpapers.repec.org/RePEc:eee:phsmap:v:205:y:1994:i:1:p:65-79
https://www.sciencedirect.com/science/article/pii/037843719490491X#!
https://www.sciencedirect.com/science/article/pii/037843719490491X
https://ideas.repec.org/a/eee/phsmap/v205y1994i1p65-79.html
https://ui.adsabs.harvard.edu/abs/1994PhyA..205...65S/abstract

Super-localised wave function approximation of Bose-Einstein condensates

Autoren: Peterseim, Daniel Wärnegård, Johan Zimmer, Christoph

Quelle: Journal of Computational Physics

Schlagwörter: ddc:510, Special quantum systems, such as solvable systems, cubic nonlinear Schrödinger equation, ddc:530, numerical homogenisation, FOS: Physical sciences, super-localised orthogonal decomposition, Numerical Analysis (math.NA), nonlinear eigenvalue problems, low regularity potentials, Computational methods for problems pertaining to quantum theory, 01 natural sciences, Quantum Gases (cond-mat.quant-gas), FOS: Mathematics, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Mathematics - Numerical Analysis, 0101 mathematics, Condensed Matter - Quantum Gases, PDEs in connection with optics and electromagnetic theory, Gross-Pitaevskii equation

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: http://arxiv.org/abs/2309.11985
https://zbmath.org/8021054
https://doi.org/10.1016/j.jcp.2024.113097
https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/108059
https://opus.bibliothek.uni-augsburg.de/opus4/files/108059/108059.pdf
https://nbn-resolving.org/urn:nbn:de:bvb:384-opus4-1080598
https://doi.org/10.1016/j.jcp.2024.113097

Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces

Autoren: A. Ashmore Y-H. He E. Heyes et al.

Quelle: Journal of High Energy Physics, Vol 2023, Iss 7, Pp 1-49 (2023)
Journal of High Energy Physics

Schlagwörter: High Energy Physics - Theory, Mathematics - Differential Geometry, Superstring Vacua, Dimensional compactification in quantum field theory, FOS: Physical sciences, QC770-798, Numerical Analysis (math.NA), Computational methods for problems pertaining to quantum theory, 01 natural sciences, Mathematics - Spectral Theory, Superstrings and Heterotic Strings, differential and algebraic geometry, High Energy Physics - Theory (hep-th), Differential Geometry (math.DG), Nuclear and particle physics. Atomic energy. Radioactivity, Supersymmetric field theories in quantum mechanics, superstrings and heterotic strings, 0103 physical sciences, FOS: Mathematics, superstring vacua, Differential and Algebraic Geometry, Mathematics - Numerical Analysis, Spectral Theory (math.SP)

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2305.08901
https://zbmath.org/7744309
https://doi.org/10.1007/jhep07(2023)164
https://doaj.org/article/d34fd93a91f4479b9d7376b0749cc1c4

Solution of Some Differential Equations of Quantum Physics by the Numerical Functional Integration Method: Solution of some differential equations of quantum physics by the numerical functional integration method

Autoren: Y. Y. Lobanov E. P. Zhidkov

Quelle: Computational Methods in Applied Mathematics. 3:560-578

Schlagwörter: open quantum system, approximation formula, Lindblad differential equation, imaginary time, functional integrals in abstract complete separable metric spaces, anticommuting variables, functional integral, open quantum systems, binding energy, Computational methods for problems pertaining to quantum theory, 01 natural sciences, computations, many fermion systems, Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.), Many-body theory, quantum Hall effect, 0103 physical sciences, Numerical methods of time-dependent statistical mechanics, Quantum stochastic calculus, propagator, density matrix, PDEs in connection with quantum mechanics, Wiener measure

Dateibeschreibung: application/xml

Zugangs-URL: https://www.degruyter.com/view/journals/cmam/3/4/article-p560.xml

Computational methods for UV-suppressed fermions

Autoren: Artan Borici

Quelle: Journal of Computational Physics. 189:454-462

Schlagwörter: High Energy Physics - Lattice, lattice fermions, Many-body theory, quantum Hall effect, High Energy Physics - Lattice (hep-lat), 0103 physical sciences, FOS: Physical sciences, Quantum stochastic calculus, ultraviolet slowing down problem, 0101 mathematics, stochastic evaluation, Computational methods for problems pertaining to quantum theory, 01 natural sciences, Strong interaction, including quantum chromodynamics

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/pdf/hep-lat/0208034
http://arxiv.org/abs/hep-lat/0208034
https://zbmath.org/1970714
https://doi.org/10.1016/s0021-9991(03)00227-4
https://arxiv.org/pdf/hep-lat/0208034v1
https://arxiv.org/abs/hep-lat/0208034
https://www.sciencedirect.com/science/article/pii/S0021999103002274
http://ui.adsabs.harvard.edu/abs/2003JCoPh.189..454B/abstract

Advanced quantum and semiclassical methods for simulating photoinduced molecular dynamics and spectroscopy.

Autoren: Faraji, Shirin Picconi, David Palacino‐González, Elisa

Quelle: WIREs: Computational Molecular Science; Sep/Oct2024, Vol. 14 Issue 5, p1-46, 46p

Schlagwörter: PHYSICAL & theoretical chemistry, QUANTUM theory, MOLECULAR spectroscopy, COMPUTATIONAL chemistry, TRAJECTORIES (Mechanics), MOLECULAR switches

An accurate method for numerical calculations in quantum mechanics: An accurate method for numerical calculations in quantum mechanics.

Autoren: Hideaki Ishikawa

Quelle: Journal of Physics A: Mathematical and General. 35:4453-4476

Schlagwörter: 0103 physical sciences, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, Numerical solution of eigenvalue problems involving ordinary differential equations, Computational methods for problems pertaining to quantum theory, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://iopscience.iop.org/article/10.1088/0305-4470/35/20/306/pdf
https://iopscience.iop.org/article/10.1088/0305-4470/35/20/306/meta
https://ui.adsabs.harvard.edu/abs/2002JPhA...35.4453I/abstract
http://iopscience.iop.org/article/10.1088/0305-4470/35/20/306/pdf
https://iopscience.iop.org/0305-4470/35/20/306

Computational Aspects of Combinatorial Quantum Chemistry: Computational aspects of combinatorial quantum chemistry

Autoren: Paul G. Mezey

Quelle: Journal of Computational Methods in Sciences and Engineering. 1:99-105

Schlagwörter: electron density representations, adjustable density matrix assembler, holographic properties, Many-body theory, quantum Hall effect, 0103 physical sciences, macromolecules, additive fuzzy density fragmentation principle, Molecular physics, Computational methods for problems pertaining to quantum theory, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1844146
https://content.iospress.com/articles/journal-of-computational-methods-in-sciences-and-engineering/jcm1-1-03

Application of the Feynman–Kac path integral method in finding excited states of quantum systems: Application of the Feynman-Kac path integral method in finding excited states of quantum systems

Autoren: Nail G. Fazleev J. L. Fry J. M. Rejcek et al.

Quelle: Computer Physics Communications. 146:154-165

Schlagwörter: Path integrals in quantum mechanics, Software, source code, etc. for problems pertaining to quantum theory, 0103 physical sciences, imaginary time, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, anti-symmetric nodal regions, random walk simulations, hydrogenic atom, Computational methods for problems pertaining to quantum theory, 01 natural sciences, lowest excited state eigenvalues

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1794120
https://doi.org/10.1016/s0010-4655(02)00267-9
http://www.sciencedirect.com/science/article/pii/S0010465597000611
https://ui.adsabs.harvard.edu/abs/1997CoPhC.105..108R/abstract
https://www.sciencedirect.com/science/article/pii/S0010465597000611

Krylov Subspace Method for Molecular Dynamics Simulation Based on Large-Scale Electronic Structure Theory: Krylov subspace method for molecular dynamics simulation based on large-scale electronic structure theory

Autoren: Takeo Fujiwara Ryu Takayama Takeo Hoshi

Quelle: Journal of the Physical Society of Japan. 73:1519-1524

Schlagwörter: Condensed Matter - Materials Science, hybrid scheme within quantum mechanics, Materials Science (cond-mat.mtrl-sci), FOS: Physical sciences, 02 engineering and technology, Computational methods for problems pertaining to quantum theory, Krylov subspace, 01 natural sciences, Simulation and numerical modelling (quantum field theory), surface reconstruction, large scale electronic structure calculations, 0103 physical sciences, Molecular physics, parallel computation, 0210 nano-technology, density matrix, tight-binding molecular dynamics

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/pdf/cond-mat/0401498
http://arxiv.org/abs/cond-mat/0401498
https://zbmath.org/2118162
https://doi.org/10.1143/jpsj.73.1519
http://ui.adsabs.harvard.edu/abs/2004JPSJ...73.1519T/abstract
https://journals.jps.jp/doi/10.1143/JPSJ.73.1519
http://ci.nii.ac.jp/naid/110001974413
http://www.damp.tottori-u.ac.jp/~hoshi/doc/takayama-krylov-jpsj73-1519-2004.pdf
http://coral.t.u-tokyo.ac.jp/hoshi/doc/takayama2004-krylov.pdf
https://www.arxiv-vanity.com/papers/cond-mat/0401498/
https://arxiv.org/abs/cond-mat/0401498
https://arxiv.org/pdf/cond-mat/0401498v3

Helmholtz equation in parabolic rotational coordinates: application to wave problems in quantum mechanics and acoustics: Helmholtz equation in parabolic rotational coordinates: Application to wave problems in quantum mechanics and acoustics

Autoren: L. C. Lew Yan Voon Morten Willatzen

Quelle: Mathematics and Computers in Simulation. 65:337-349

Schlagwörter: numerical examples, Spectral methods applied to problems in fluid mechanics, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Quantum dots, Hydro- and aero-acoustics, Acoustic cavities, spectral method, eigenfunctions, Frobenius power series expansion, Computational methods for problems pertaining to quantum theory, 01 natural sciences, 0103 physical sciences, Parabolic rotational coordinates, Spectral, collocation and related methods for boundary value problems involving PDEs, Helmholtz equation, PDEs in connection with quantum mechanics

Dateibeschreibung: application/xml

Zugangs-URL: https://ideas.repec.org/a/eee/matcom/v65y2004i4p337-349.html
https://www.sciencedirect.com/science/article/pii/S0378475404000217
https://dblp.uni-trier.de/db/journals/mcs/mcs65.html#VoonW04
http://www.sciencedirect.com/science/article/pii/S0378475404000217
https://econpapers.repec.org/RePEc:eee:matcom:v:65:y:2004:i:4:p:337-349

Numerical analysis of bipartite entanglement evolution in simple cubic 1/2-spin system with additional spin 1 dopant

Autoren: Michał Kaczor Paweł Jakubczyk

Quelle: Quantum Information Processing. 22

Schlagwörter: Markovian time evolution, spin systems, 0103 physical sciences, Quantum coherence, entanglement, quantum correlations, open systems, quantum entanglement, Computational methods for problems pertaining to quantum theory, 01 natural sciences

Dateibeschreibung: application/xml

Single-block renormalization group: quantum mechanical problems

Autoren: Javier Rodríguez-Laguna Miguel Angel Martin-Delgado Germán Sierra

Quelle: Nuclear Physics B. 601:569-590

Schlagwörter: Renormalization group methods applied to problems in quantum field theory, three-dimensional models, Condensed Matter (cond-mat), 0103 physical sciences, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, FOS: Physical sciences, two-dimensional models, Condensed Matter, Computational methods for problems pertaining to quantum theory, 01 natural sciences, density matrix

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/pdf/cond-mat/0009474
http://arxiv.org/abs/cond-mat/0009474
https://arxiv.org/pdf/cond-mat/0009474
https://arxiv.org/abs/cond-mat/0009474v1
https://www.sciencedirect.com/science/article/pii/S0550321301000736
https://ui.adsabs.harvard.edu/abs/2001NuPhB.601..569M/abstract

Permutation-adapted complete and independent basis for atomic cluster expansion descriptors

Autoren: Goff, J. M. Sievers, C. Wood, M. A. et al.

Quelle: Journal of Computational Physics. 510:113073

Schlagwörter: 0301 basic medicine, Condensed Matter - Materials Science, 0303 health sciences, 03 medical and health sciences, interatomic potentials, Stochastic particle methods, Materials Science (cond-mat.mtrl-sci), FOS: Physical sciences, angular momentum, atomic cluster expansion, Computational methods for problems pertaining to quantum theory, molecular dynamics, Atomic physics

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2208.01756

Quasilinearization method and its verification on exactly solvable models in quantum mechanics

Autoren: V. B. Mandelzweig

Quelle: Journal of Mathematical Physics. 40:6266-6291

Schlagwörter: nonlinear differential equations, method to scattering length, Perturbation theories for operators and differential equations in quantum theory, linear programming, variable phase method, Nonlinear ordinary differential equations and systems, uniform and quadratic convergence, Computational methods for problems pertaining to quantum theory, 01 natural sciences, infinite domains, infinite values of the coupling constant, Bellman and Kalaba, singular functionals, 0103 physical sciences, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, super singular potentials, perturbation theory

Dateibeschreibung: application/xml

Zugangs-URL: https://aip.scitation.org/doi/abs/10.1063/1.533092
https://ui.adsabs.harvard.edu/abs/1999JMP....40.6266M/abstract
https://scitation.aip.org/content/aip/journal/jmp/40/12/10.1063/1.533092