3,876 research outputs found
Applicability of perturbation theory to molecular problems
Perturbation theory used in quantum mechanics to determine molecular energy and propertie
Coordinates which diagonalize the kinetic energy of relative motion
General coordinate sets for diagonalizing relative kinetic energy of N particle syste
Vortex Lattices in Quantum Mechanics
Vortex lattices are constructed in terms of linear combinations of solutions
for Scr\"{o}dinger equation with a constant potential. The vortex lattices are
mapped on the spaces with two-dimensional rotationally symmetric potentials by
using conformal mappings and the differences of the mapped vortex-patterns are
examined. The existence of vortex dipole and quadrupole is also pointed out.Comment: 13 page
The energy of interaction between two hydrogen atoms by the Gaussian-type functions
Energy of interaction between two hydrogen atoms in their ground states described by Gauss-type function
Transmission properties in waveguides: An optical streamline analysis
A novel approach to study transmission through waveguides in terms of optical
streamlines is presented. This theoretical framework combines the computational
performance of beam propagation methods with the possibility to monitor the
passage of light through the guiding medium by means of these sampler paths. In
this way, not only the optical flow along the waveguide can be followed in
detail, but also a fair estimate of the transmitted light (intensity) can be
accounted for by counting streamline arrivals with starting points
statistically distributed according to the input pulse. Furthermore, this
approach allows to elucidate the mechanism leading to energy losses, namely a
vortical dynamics, which can be advantageously exploited in optimal waveguide
design.Comment: 8 pages, 4 figure
On optimizing the treatment of exchange perturbations
A method using the zeroth plus first order wave functions, obtained by optimizing the basic equation used in exchange perturbation treatments, is utilized in an attempt to determine the exact energy and wave function in the exchange process. Attempts to determine the first order perturbation solution by optimizing the sum of the first and second order energies were unsuccessful
New partitioning perturbation theory. 1 - General formalism
General formalism of partitioning perturbation theory - Part
The resolution of a perturbed wave function into its symmetry components
Resolving perturbed wave functions into unperturbed Hamiltonian
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