1. QUOTE taken from this thread: page 229 - For those of you losing faith, take a look "BACK" shall we?
Quote from: Front « Reply #5710 on: November 30, 2011, 04:08:50 AM »
2. QUOTE taken from this thread: page 238 - For those of you losing faith, take a look "BACK" shall we?
Quote from: Front « Reply #5938 on: December 22, 2011, 03:52:26 AM »[....]
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3. QUOTE taken from this thread: page 4 - Tupac arise (hologram) together with Snoop
Quote from: SimPattyK on April 19, 2012, 07:17:18 AM[....]
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@Front: has the Crystal Ball dropped YET?? :)
KEY-WORDS:
1. SEHF --- > acronym for Spin Extended Hartree-Fock
2. PI, H2O, Hydrogen, Letter H (8th letter; 8 = infinite), Letter N , MAGNET, WAVE, ENERGY, LIGHT, CUBIC, PROJECTION,
3. SOs (Spin Orbitals), MOs (Molecular Orbitals), UltraViolet spectrum (PURPLE), 3D, imaging, MIRRORS
4. CRYSTAL, OPTICAL, DIGITAL, ATOM, DYNAMICS, ELECTRONIC BeAM, HOLOGRAM
5. EXHIBIT B ---- > crystallographic b axis ---- > "[...]The initial interest on this work was stimulated by the potential use of MPc as a gas sensor,3 where an acceptor-donor mechanism could appear under irradiation, as in the case of doped polymer media for real time holography. From a more basic point of view, the MnPc was one of the first molecular magnets reported. Indeed, magnetic properties were determined on a single crystal Specimen. ( see source )
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Hartree Equation > s.a. composite quantum systems [many-body systems].
* Idea: An effective evolution equation for mean-field systems.
@ References: Knowles & Pickl CMP(10) [bounds on the rate of convergence of the quantum
N-body dynamics to the Hartree dynamics].
Hartree-Fock Approximation / Equation
* Idea: The Hartree-Fock approximation is the basis of molecular orbital theory; Its goal is to approximately solve the electronic Schrödinger equation by describing each electron's motion by a single-particle function (orbital), approximated by a single Slater determinant made up of one spin orbital per electron, which does not depend explicitly on the instantaneous motions of the other electrons. ( see source )
Spin-extended Hartree—Fock :
1. "Projected-unrestricted Hartree—Fock wave functions can be improved by minimizing the energy with respect to variations in the occupation numbers of the charge-density natural orbitals. A series of pi-electron calculations are compared to the spin extended calculations of Mayer and Kertesz. [...]" ( see source )
2. Unrestricted Hartree—Fock Calculations. II. Spin Properties of Pi‐Electron Radicals
3. "[...]In order to illustrate this study and to provide a numerical demonstration of the minimization techniques ab initio SEHF calculations on a number of ten electron systems are reported. These calculations were performed for the singlet ground states of Ne, HF, H2O, NH3, CH4, and cyclic H10." ( see source )
4. "[...] A general formalism for time-dependent linear response theory is presented within the framework of linear-combination-of-atomic-orbital crystalline orbital theory for the electronic excited states of infinite one-dimensional lattices (polymers). [...] Convergence of the calculated excitation energies with respect to the number of unit cells taken into account in the lattice summations (N) and the number of wave vector sampling points (K) is studied taking the lowest singlet and triplet exciton states of all-trans polyethylene as an example.[...]" ( see source )
5. "An interactive method of solving the Mestechkin spin-extended Hartree–Fock equations is proposed. On this basis projected and spin-extended values of energies and spin densities for some hydrocarbon π-radicals are calculated. Relations among UHF, ASA, AA, projected, and spin-extended energies are discussed." ( see source )
6. We investigate the geometry and electronic structure of an interstitial H atom in the BaTiO3 crystal considering both cubic and tetragonal crystallographic lattices. A quantum-chemical method based on the Hartree-Fock formalism is used throughout the study. Interstitial H is found to bind to one of the O atoms, forming the so-called OH group. [...]" ( see source )
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Optical Technology
In General > s.a. astronomy; microscopes; mirrors; optics.
* Photonic crystal: An example of metamaterial; Consists of stacks of tiny rods, or solid material bored out with a honeycomb pattern of voids; The voids have a lower refractive index than the host material, and the periodic variation of refractive index excludes light at certain frequencies – the optical equivalent of the energy gap in a semiconductor; > s.a. radiation [Cerenkov].
* Optomechanical devices: Devices that use mechanical effects of light; The effects have been known for a long time (e.g., radiation pressure, starting with solar and starlight effect on surrounding matter), but until recently they were too small for practical applications; Now (2010) nano-scale opto-mechanical systems are explored as ultra-sensitive force and displacement sensors, and by using light to cool a mechanical system to its quantum ground state, researchers hope to explore the foundations of quantum mechanics in a new regime.
Imaging
* Photography: In a photographic emulsion, incoming light knocks an electron loose from silver halide grains; This allows the crystals of atomic silver to form; These are later developed into images.
* Transformation optics: 2010, The field in which optical materials are tailored to direct the trajectory of light ( Front's "intersection of lights") to accomplish desired effects; It has led to astonishing devices previously thought to be impossible, such as perfect lenses fabricated from flat pieces of material, invisibility cloaks, and illusion devices that make an object appear as something else; > s.a. meta-materials." ( see source )
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Volume holographic spectral imaging
"[....]We report on a volume holographic imaging spectrometer (VHIS) system which allows retrieval of a scene's two dimensional spatial information as well as its spectral information. This is performed using a transmission volume hologram and a simple rotary scanning mechanism. The system has the advantages of high spectral and spatial resolutions and the potential of single-shot, four-dimensional (3D spatial plus 1D spectral) imaging by recording multiple volume holograms in the same material. Also, due to the transmission diffraction geometry, the system automatically eliminates the stray excitation light from the captured signal. We give theoretical analysis of the performance and experimental demonstration using fluorescent CdSe/ZeS quantum dots. The measured quantum dots spectra agree well with the spectra obtained using a conventional spectrometer[.....]" ( see source )
