Approximation of expectation values
Approximation of expectation values by perturbation theory
PERTURBATION THEORY↗
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Search indexed NASA NTRS and DOE OSTI research on propulsion, heat transfer, battery materials and energy systems. Follow report and document links to the original sources.
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Intermediate-range intermolecular forces in H sub 2 super plus.
Intermediate range intermolecular forces with overlapping wave functions and exchange effects calculated for ionized H molecule using perturbation theory
PERTURBATION THEORY↗
Research in theoretical chemistry at the University of Wisconsin Semiannual progress report, 1 Jul. - 31 Dec. 1969
Molecular theory, quantum mechanics, transport properties, perturbation theory, and related research
Hirschfelder, J. O.↗
Structure of di- and trivalent metals.
Structures of divalent and trivalent metals in terms of pseudopotentials and second order perturbation theory
ELECTRONIC STRUCTURE↗
On the General Perturbations of the Position Vectors of a Planetary System
Series expansion of spherical functions for position perturbation theory of planetary system
PLANETARY CONFIGURATION↗
THE HAMILTON-JACOB I FORMULATION OF THE RESTRICTED THREE BODY PROBLEM IN TERMS OF THE TWO FIXED CENTER PROBLEM
Three body problem by hamilton-jacobi perturbation theory - guidance systems
HAMILTON-JACOBI EQUATION↗
Astrorelativity
Extension of special relativity to transformations for variable mass systems, & relativistic perturbation theory for satellite orbits
VARIABLE MASS SYSTEM↗
Remarks on the use of approximate wavefunctions for the second-order perturbation energy.
Approximate ground state wave functions used in calculation of interaction energies by second- order perturbation theory
ELECTRON INTERACTION↗
The structure of di-valent and tri-valent metals
Pseudopotential and second order perturbation theory applied to divalent and trivalent metal structures
METAL↗
The stability of core-filled long cylinders subjected to uniform outside pressure.
Bending and buckling of cylindrical shells filled with soft core studied under uniform outside pressure via perturbation theory and nonlinear equations
NONLINEAR EQUATION↗
Approximation of expectation values.
Approximation of expectation values for nonenergy properties via perturbation theory, obtaining values for molecular polarizability
POLARIZATION CHARACTERISTICS↗
The accuracy of numerical solutions for electron gun design.
Numerical solutions of Poisson and motion equations for electron gun design, examining truncation error via perturbation theory
MOTION EQUATION↗
Comments on ''nonlinear landau damping of oscillations in a bounded plasma.''
Perturbation theory applied to nonlinear landau damping of oscillations in bounded plasma
PLASMA OSCILLATION↗
Regularized special perturbation techniques using Levi-Civita variables.
Perturbation theory for two-body problem, using regularized Levi-Civita variables
PERTURBATION THEORY↗
What is H sub 0/ques/
Zero order Hamiltonian in perturbation theory for eigenvalue problems of atom in magnetic field
EIGENVALUE↗
Interaction of very intense radiation fields with atomic systems.
Multiphonon radiation processes applying perturbation theory to interaction of atomic electron with intense linearly polarized laser beam
LASER↗
Approximation of the restricted problem by the two-fixed-center problem second semi- annual report, part i
Perturbation theory of two-fixed-center problem leading to restricted three-body approximation
PERTURBATION THEORY↗
Orbital stability in combined uniform axial and three-dimensional wiggler magnetic fields for free-electron lasers
Zachary Phys. Rev. A 29 (6), 3224 (1984) recently analyzed the instability of relativistic-electron helical trajectories in combined uniform axial and helical wiggler magnetic fields when the radial variation of the wiggler field is taken into account. It is shown here that the type 2 instability comprised of secular terms growing linearly in time, identified by Zachary and earlier by Diament Phys. Rev. A 23 (5), 2537 (1981), is an artifact of simple perturbation theory. A multiple-time-scale perturbation analysis reveals a nonsecular evolution on a slower time scale which accommodates an arbitrary initial perturbation. It is shown that, in the absence of exponential instability, the electron seeks a modified helical orbit more appropriate to its perturbed state and oscillates stably about it. Thus, the perturbed motion is oscillatory but nonsecular, and hence the helical orbits are stable.
Johnston, S.↗