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2008

Arts & Sciences Articles

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Full-Text Articles in Physics

Photoluminescence Of 1-D Copper(I) Cyanide Chains: A Theoretical Description, Craig A. Bayse, Timothy P. Brewster, Robert D. Pike Nov 2008

Photoluminescence Of 1-D Copper(I) Cyanide Chains: A Theoretical Description, Craig A. Bayse, Timothy P. Brewster, Robert D. Pike

Arts & Sciences Articles

Solid copper(I) cyanide occurs as extended one-dimensional chains with interesting photophysical properties. To explain the observed luminescence spectroscopy of CuCN, we report a series of computational studies using short bare and potassium-capped [Cun(CN)n+1] − (n = 1, 2, 3, 4, 5, and 7) chains as CuCN models. On the basis of TD-DFT calculations of these model chains, the excitation transitions in the UV spectrum are assigned as Laporte-allowed π−π transitions from MOs with Cu 3dπ and CN π character to empty MOs with Cu 4p and CN π* character. Transitions between the HOMO (3dz …


Semiclassical Theory Of The Structure Of The Hydrogen Spectrum In Near-Perpendicular Electric And Magnetic Fields: Derivations And Formulas For Einstein-Brillouin-Keller-Maslov Quantization And Description Of Monodromy, Christopher Robert Schleif, John B. Delos Apr 2008

Semiclassical Theory Of The Structure Of The Hydrogen Spectrum In Near-Perpendicular Electric And Magnetic Fields: Derivations And Formulas For Einstein-Brillouin-Keller-Maslov Quantization And Description Of Monodromy, Christopher Robert Schleif, John B. Delos

Arts & Sciences Articles

In a previous paper [Schleif and Delos, Phys. Rev. A 76, 013404 (2007)] we described the spectrum of hydrogen atoms in near-perpendicular electric and magnetic fields. We displayed a number of previously unrecognized structures in the spectrum, most of which are connected with a classical phenomenon called “nontrivial monodromy of action and angle variables in a Hamiltonian system,” or simply “monodromy.” In that paper, we presented only the results, giving predictions of what to look for in various ranges of electric and magnetic fields. Here we present the underlying theory. Starting from Kepler action and angle variables, we give a …


Static And Dynamical Manifestations Of Hamiltonian Monodromy, John B. Delos, Christopher Robert Schleif, G. Dhont Jan 2008

Static And Dynamical Manifestations Of Hamiltonian Monodromy, John B. Delos, Christopher Robert Schleif, G. Dhont

Arts & Sciences Articles

The word 'monodromy' means 'once around a course', and it refers to changes that might occur when a system goes around some closed loop [1]. We discuss here a phenomenon whose proper name is 'nontrivial monodromy of action and angle variables in a Hamiltonian system'; for the obvious reason, we just call it 'Hamiltonian monodromy'. In this paper we describe two manifestations of Hamiltonian monodromy: a manifestation in a time-dependent classical system, and a manifestation in a stationary quantum system. Then we give a brief description of the mathematical theory, and finally close with a short survey of previous work …