Journal of Physics A Mathematical GeneralJournal of Physics A General PhysicsC. Quesne, Vector coherent state theory of the noncompact orthosymplectic super- algebras, I. General theory, J. Phys. A 23 (1990) 5383-5409.Quesne C. Vector coherent state theory of the non-compact orthosymplectic ...
introduced DeepONet, a novel network architecture that effectively approximates the solution operator of linear and nonlinear parametric PDEs. DeepONets have found applications in various fields of physics73,74, including hypersonics with the work of Mao et al.75, who approximated the fluid flow ev...
The Maxwell equations governing the behavior of light are solved by the multi-particle generalization of the Mie theory46. In short, the incident and scattered waves of each sphere are expanded in a series of vector spherical wavefunctions. Applying the vector translation–addition theorem and the...
This paper systematically reviews the mathematical modeling based on the computational fluid dynamics (CFD) method of equilibrium and nonequilibrium hypersonic flows. First, some physicochemical phenomena in hypersonic flows (e.g., vibrational energy excitation and chemical reactions) and the flow character...
even for a single particle. A number of the available techniques require that the trapping beam (i.e. the incident field) be represented as a plane wave spectrum or in terms of vector spherical wavefunc- tions (VSWFs). The trapping beam is usually a strongly focussed (i.e. non-paraxi...
Examples: Prove that the segment joining the middle points of two non parallel sides of a trapezium is parallel to the parallel sides and half of their sum.
How/why is dimensional analysis useful? Use examples of several non-dimensional numbers to illustrate the importance.Dimensional Analysis:In physics, all measured quantities have physical dimensions. When solving problems, we must ensure that the dimensions on ...
- The implicit cast methods of class Vector to 'double *' and 'const double *' have been deprecated and generate deprecation warnings if used. They will be removed in a future release. - The methods Mesh::GetFaceBaseGeometry and Mesh::GetFaceGeometryType have been deprecated, and Mes...
In the examples considered above, the thermodynamic parameters were continuous functions of the coordinates. Nonequilibrium systems are possible in which the thermodynamic parameters change discontinuously; such systems are said to be discontinuous, or heterogeneous. As an example, consider two gases enclos...
Discontinuous systems.In the examples considered above, the thermodynamic parameters were continuous functions of the coordinates. Nonequilibrium systems are possible in which the thermodynamic parameters change discontinuously; such systems are said to be discontinuous, or heterogeneous. As an example, consi...