Results 291 to 300 of about 507,636 (319)
Some of the next articles are maybe not open access.
Generalized coordinates molecular Hamiltonian
Molecular Physics, 2003The transformation of the complete (non-relativistic) molecular Hamiltonian from Cartesian to generalized coordinates by the quantum-mechanical path outlined in our previous works is reviewed. Explicit expressions for vibrational kinetic energy matrix and vibration-rotation coupling matrices have been derived and some remarkable simplifications have ...
openaire +1 more source
General relativity without coordinates
Il Nuovo Cimento, 1961In this paper we develop an approach to the theory of Riemannian manifolds which avoids the use of co-ordinates. Curved spaces are approximated by higher-dimensional analogs of polyhedra. Among the advantages of this procedure we may list the possibility of condensing into a simplified model the essential features of topologies like Wheeler’s wormhole ...
openaire +1 more source
Generalization of Tristimulus Coordinates*
Journal of the Optical Society of America, 1966The characterization of light by its tristimulus coordinates is briefly reviewed. The vector-transformation properties of these coordinates are shown, and the interpretation of change of reference stimuli as a change of basis in a 3-dimensional vector space is mentioned.
openaire +1 more source
Automatic algebraic coordinate generation
Applied Mathematics and Computation, 1982zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
The Generator Coordinate Method
2019This chapter describes in detail the formalism of the Generator Coordinate Method and its use in constructing both static and dynamic collective states of the nucleus, starting from constrained Hartree-Fock-Bogoliubov solutions. The full formalism is then reduced to a Schrodinger-like equation, and the calculation of its inertial tensor and zero-point ...
Walid Younes +2 more
openaire +1 more source
General curvilinear coordinate systems
Applied Mathematics and Computation, 1982The basic ideas of the construction and use of numerically-generated boundary-fitted coordinate systems for the numerical solution of partial differential equations are discussed. With such coordinate systems, all computation can be done on a fixed square grid in the rectangular transformed region regardless of the shape or movement of the physical ...
openaire +1 more source
Quantization in generalized coordinates
Foundations of Physics, 1971The operator form of the generalized canonical momenta in quantum mechanics is derived by a new, instructive method and the uniqueness of the operator form is proven. If one wishes to find the correct representation of the generalized momentum operator, he finds the Hermitian part of the operator —iħ ∂/∂q, whereq q is the generalized coordinate.
openaire +1 more source
General Line Coordinates (GLC)
2018This chapter describes various types of General Line Coordinates for visualizing multidimensional data in 2-D and 3-D in a reversible way. These types of GLCs include n-Gon, Circular, In-Line, Dynamic, and Bush Coordinates, which directly generalize Parallel and Radial Coordinates.
openaire +1 more source