Results related to work at Texas A & M University with the group of M. Scully

Preliminary estimations

Schrodinger equation. Bohr D approach. Variational (HL) approach. Hybrid variational Bohr approach. PDF file
Heitler London method for H2 molecule. Hybrid HL-B model. Alternative constraint. The model of Phys. Lett. A. PDF file
Possible combinations of Heitler - London model with Bohr model. PDF file
Re-examining the paper Model of molecular bonding based on the Bohr - Sommerfeld picture of atoms, Phys. Lett. A 355, 373 (2006). PDF file
The method NNQWC (nearest-nucleus quantization without constraints). PDF file
Nearest atom quantization for H2. Analytic continuation. PDF file
Heitler - London model with Gaussian orbitals. PDF file
Using orthogonal configuration (Hartree - Fock like). PDF file
Bohr model for isoelectronic ions. PDF file
Calculations of maxima of probability distributions from expectation values. Angular distribution. PDF file
Bohr orbits in space of many dimensions. Two electrons in four-dimensional space. PDF file
Bohr model for many-electron atoms. Energy and electron density at large Z. Comparison with Thomas - Fermi. PDF file
Alternative constraint for H2 molecule. Bohr-like method for H2 with H2+ -inspired constraints. PDF file
Hybrids of Heitler - London model with Bohr model for three-electron molecules. PDF file
Bohr model for many-electron atoms, many-dimensional space (tables). PDF file
Bohr model for many-electron cations, many-dimensional space (tables). PDF file
Bohr model for many-electron atoms in many dimensions. PDF file
Bohr model in variable dimensionality. Neon atom (tables), all atoms up to Na (11 electrons), all atoms up to 13 electrons
Using one electron two center Coulomb solutions together with Bohr-like methods. Calculations for LiH molecule and its cation. PDF file
Superradiance from N atoms inside a sphere. Testing formulas for decay rates. PDF file, PowerPoint
Calculation of electric field around a conducting cone illuminated by a plane wave. PDF file
Heitler - London model with fixed exponent orbitals and two-electron interaction from Bohr model. PDF file, PowerPoint
Using orthogonality to take into account Pauli exclusion principle. PDF file
Using one electron two center Coulomb solutions together with Bohr-like methods. PDF file
Generalizations of Bohr model for diatomic and polyatomic molecules (review of results). PDF file
Generalizations of Bohr model and the method of dimensional scaling for diatomic and polyatomic molecules (review of two recent papers). PDF file
Many-electron atoms in the limit of large dimensionality (review of J. Loeser's papers). PDF file
Excited states in the limit of large dimensionality (review of a paper of D. Goodson and D. Watson). PDF file
States with non-zero angular momentum in the limit of large dimensionality (review of D. Watson's papers). PDF file

Seminars

Dimensional scaling of helium and frozen planetary states as resonances associated with complex stationary points of the effective potential. Seminar in Princeton in 2006. PDF file
Perturbation parameters, analytical continuation and singularity structure of the energy function: applications in atomic, molecular and nuclear physics. Seminar in TAMU in Feb. 2007. PDF file, animation
Bohr, scaling and more (stable circular orbits for helium atom). Seminar in Princeton in Apr. 2007. PDF file
Bohr, scaling and molecular physics. Workshop in Casper in Aug. 2007. PDF file
Partial wave expansion of the plane wave. PowerPoint file (52 MB). Method of partial waves. PowerPoint file (33 MB). For D. Herschabach's molecular course 11/18/2008.

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