Results 31 to 40 of about 12,698 (302)

Extended Hamilton-Lagrange formalism and its application to Feynman's path integral for relativistic quantum physics

, 2023
With this paper, a consistent and comprehensive treatise on the foundations of the extended Hamilton-Lagrange formalism will be presented. In this formalism, the system's dynamics is parametrized along a system evolution parameter $s$, and the physical ...
Struckmeier, Jürgen
core   +1 more source

Hamel's formalism and variational integrators on a sphere [PDF]

2012 IEEE 51st IEEE Conference on Decision and Control (CDC), 2012
7 pages, 4 ...
Dmitry V. Zenkov, Melvin Leok, Anthony M. Bloch   +2 more
openaire   +2 more sources

Line Defects in Two-Dimensional Dodecagonal Quasicrystals

Mathematics
In this work, line defects in two-dimensional dodecagonal quasicrystals are investigated. Using the ten-dimensional framework of the integral formalism of two-dimensional quasicrystals, the closed-form solutions for the displacement fields and stress ...
Markus Lazar
doaj   +1 more source

Line Defects in Quasicrystals

Crystals
The six-dimensional framework of the integral formalism for line defects (straight dislocations and line forces) in anisotropic elasticity has been extended to a 2n-dimensional integral formalism for line defects in quasicrystals (n=4,5,6 for one-, two-,
Markus Lazar
doaj   +1 more source

Origin of anomalies in the path-integral formalism

, 1989
We show that, in the path-integral formalism, anomalies can arise from the discrepancy between classical field equations and quantum field equations. With a suitable regularization for the functional derivative, this discrepancy leads to an expression ...
Tsutsui, Izumi, Izumi Tsutsui
core   +1 more source

Line Defects in One-Dimensional Hexagonal Quasicrystals

Mathematics
Using the eight-dimensional framework of the integral formalism of one-dimensional quasicrystals, the analytical expressions for the displacement fields and stress functions of line defects, which are dislocations and line forces, in one-dimensional ...
Markus Lazar
doaj   +1 more source

Path integrals: From quantum mechanics to photonics

APL Photonics, 2021
The path integral formulation of quantum mechanics, i.e., the idea that the evolution of a quantum system is determined as a sum over all the possible trajectories that would take the system from the initial to its final state of its dynamical evolution,
Charles W. Robson, Yaraslau Tamashevich, Tapio T. Rantala, Marco Ornigotti   +3 more
doaj   +1 more source

Deriving the path integral from the operator formalism

, 1990
The path integral is derived from the operator formalism with a little more caution than usual.
A. Y. Shiekh
core   +1 more source

Field Report from Collaborative Research Center 1625: Heterogeneous Research Data Management Using Ontology Representations

Advanced Engineering Materials, EarlyView.
A unified research data management framework for heterogeneous materials data is presented. The system integrates multimodal datasets using ontologies and knowledge graphs, enabling interoperability and FAIR (findable, accessible, interoperable, reusable) data principles. By linking data across scales and workflows, it supports reproducible, Artifitial
Doaa Mohamed, Samuel García Vázquez, Behnam Mardani, Victor Dudarev, Alfred Ludwig, Maribel Acosta, Markus Stricker   +6 more
wiley   +1 more source

Formal Integration: FDI and trade in Europe [PDF]

Baltic Journal of Economics, 2004
AbstractThe paper seeks to explain why formal integration, i.e. membership of the European Union (EU), should matter to Central and Eastern Europe (CEE) by testing a number of hypotheses about the relationship, respective levels and intensity of relationship of the two fundamental forces of real integration: trade and foreign direct investment (FDI ...
openaire   +2 more sources