Applicability of perturbation theory to molecular problems.
Perturbation theory in molecular quantum physics using variational principles
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Perturbation theory in molecular quantum physics using variational principles
Axiomatic formulation for stationary point processes interpreted as ordered sequences of points randomly located on real line, noting relation to set theory
Linear shell theory for nonlinear transverse coupled vibrations of partially filled circular cylindrical elastic tank
Instability and periodic solutions in nonlinear feedback systems obtained using perturbation theory of Hale and Cesari
Explicit invariant forms of factor equations for factorization of secular equations by group theory
Quantum mechanical kinetic theory of gas loaded spheres to obtain limit of transport coefficients and relaxation time
Hypersonic weak and strong interaction theory for case of uniform flow past flat plate, discussing boundary layer characteristics
Quantum theory of laser having only single-mode oscillation and ignoring atomic motion and spatial variations in cavity mode
DC discharge parameters solution using pressure theory with generation terms stressing one- and two-dimensional cases
Gravitation wave radiation rate from binary stars, using Brans-Dicke general relativity theory
Linear shell theory for nonlinear transverse coupled vibrations of partially filled circular cylindrical elastic tank
Unified theory for galaxy spiral formation and radio galaxy and quasar evolutionary dynamics, discussing galactic dipole magnetic field generation
Vector field theory of time dependent backscatter from distant slightly rough sphere for pulsed and sinusoidally steady state sources
Electron transport theory for energy below 10 Mev, reviewing interactions, scattering, thick targets, complex geometry and penetration in space environment
Perturbation theory for exchange forces using Brillouin and Schroedinger equations
We show that an alternative quantum theory proposed by Stapp directly violates Einstein casuality.
We consider multiple scalar fields coupled to gravity, with special attention given to two-field theories.
Separated programs were written in C/C++ to validate the Displacement Transfer Functions. The Structure Deformation Calculation Program was written to combine all of the programs to calculate deformed shapes of a structure using surface strain data and structural geometrical parameters. Users do not need to know the material properties, nor the complex internal structures geometry because the Displacement Theory is purely geometrical in nature. Users only need to know the structure types as defined in this report and information such as the structure length, depth factors, number of strain sensors, and the surface strains measured at the strain-sensing stations installed on the structures. Depending on the structure type, an applicable Displacement Transfer Function will be used. This program requires two input files created by users; the recorded strain data file in comma-separated values format and the structure geometry data file in text format. The program will output the out-of-plane deflections, slopes, cross-sectional twist angles, and depth factors if applicable. All output files are created in comma-separated values format. A section in this report describes step-by-step procedures on how to use the Structure Deformation Calculation Program for structure deformed shape calculations.