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Part I Quantum Methodology |
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The Importance of Orbital Analysis |
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3 | (26) |
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3 | (4) |
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7 | (1) |
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8 | (18) |
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9 | (3) |
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12 | (2) |
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3.3 Transition Metal Diatomics |
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14 | (12) |
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26 | (3) |
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27 | (2) |
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A General Geometric Representation of Sphere-Sphere Interactions |
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29 | (8) |
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29 | (2) |
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2 Introduction to the Bispherical Coordinate System |
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31 | (1) |
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3 Derivation of the Scaled Surface-to-Surface Separation |
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32 | (3) |
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4 Graphical Representation of the Scaled Surface-to-Surface Separation |
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35 | (1) |
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36 | (1) |
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36 | (1) |
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Understanding the Electronic Structure Properties of Bare Silver Clusters as Models for Plasmonic Excitation |
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37 | (18) |
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38 | (2) |
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40 | (3) |
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40 | (2) |
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42 | (1) |
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43 | (5) |
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3.1 Comparison of RT-TDDFT and FD-TDDFT |
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43 | (5) |
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4 Insights into Hot Electron Properties |
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48 | (2) |
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50 | (5) |
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51 | (4) |
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Part II Structure and Properties |
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Optimized Perturbation Theory for Calculating the Hyperfine Line Shift and Broadening of Heavy Atoms in a Buffer Gas |
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55 | (22) |
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55 | (3) |
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2 Optimized Atomic Perturbation Theory and Advanced Kinetic Theory of Spectral Lines |
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58 | (4) |
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3 Relativistic Many-Body Perturbation Theory with the Kohn-Sham Zeroth Approximation and the Dirac-Sturm Method |
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62 | (5) |
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3.1 Relativistic Many-Body Perturbation Theory with the Kohn-Sham Zeroth Approximation |
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62 | (3) |
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3.2 The Dirac-Sturm Approach |
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65 | (2) |
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4 Shift and Broadening of Hyperfine Spectral Lines for Multielectron Atoms in an Atmosphere of a Buffer Gas |
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67 | (6) |
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4.1 Shift and Broadening of the Thallium and Ytterbium Hyperfine Lines in an Atmosphere of the Inert Gas |
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67 | (4) |
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4.2 Shift and Broadening of the Alkali Atom Hyperfine Lines in an Atmosphere of the Inert Gas |
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71 | (2) |
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73 | (4) |
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74 | (3) |
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Proton Quantum Confinement on Symmetric Dimers of Ammonia and Lower Amine Homologs |
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77 | (14) |
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77 | (2) |
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79 | (5) |
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2.1 Density Functional Methods |
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80 | (1) |
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2.2 Ab Initio Path Integral Molecular Dynamics (PDVID) |
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81 | (2) |
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2.3 Vibrational Hamiltonian at Reduced Dimensions |
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83 | (1) |
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84 | (4) |
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3.1 An Intuitive Trend Based on a Static Picture |
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84 | (2) |
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3.2 A Counter Intuitive Trend Arose from Quantum Nature |
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86 | (1) |
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3.3 Possible Experimental Observables |
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87 | (1) |
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88 | (3) |
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89 | (2) |
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Ab-initio and DFT Study of the Muchimangin-B Molecule |
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91 | (24) |
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92 | (1) |
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92 | (3) |
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95 | (18) |
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95 | (12) |
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107 | (3) |
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3.3 Adducts with Explicit Water Molecules |
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110 | (3) |
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4 Discussion and Conclusions |
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113 | (2) |
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113 | (2) |
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Molecular Dynamics Analysis of FAAH Complexed with Anandamide |
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115 | (20) |
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116 | (1) |
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117 | (1) |
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118 | (8) |
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3.1 Root Mean Square Deviation (RMSD) Analysis |
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119 | (1) |
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3.2 Root Mean Square Fluctuation (RMSF) Analysis |
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119 | (2) |
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121 | (5) |
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126 | (9) |
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127 | (8) |
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Part III Molecular Dynamics |
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Intense Field Molecular Photodissociation: The Adiabatic Views |
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135 | (12) |
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135 | (1) |
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2 The Time-Dependent Wave-Equation |
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136 | (1) |
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3 The Instantaneous Solutions |
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137 | (2) |
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4 The Quasi-Adiabatic Solutions |
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139 | (5) |
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5 The Solution of the Time-Dependent Schrodinger Equation |
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144 | (1) |
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145 | (2) |
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145 | (2) |
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Photoionization Spectra and Ionization Potentials of Energetic Molecules |
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147 | (12) |
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147 | (2) |
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149 | (2) |
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151 | (5) |
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151 | (3) |
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3.2 The Photoionization Spectra of the Four Molecules |
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154 | (2) |
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156 | (3) |
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156 | (3) |
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Theoretical Study of Coherent π-Electron Rotations in a Nonplanar Chiral Aromatic Molecule Induced by Ultrafast Linearly Polarized UV Pulses |
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159 | (18) |
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160 | (1) |
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2 Coherent π-Electron Angular Momentum and Current |
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161 | (4) |
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2.1 Equations of Motion for π-Electrons in a Pulsed Laser Field |
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161 | (1) |
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2.2 Coherent Electric Angular Momentum and Current for a Chiral Aromatic Molecule with Two Aromatic Rings |
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162 | (3) |
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165 | (9) |
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3.1 Geometry and Excited States of (P)-2,2'-Biphenol |
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165 | (1) |
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3.2 Creation of Coherent Two Electronic Excited States by the Linearly Polarized UV Laser Pulses |
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166 | (1) |
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3.3 Four Initial Directional Patterns of Ring Currents and Angular Momentum |
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167 | (1) |
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3.4 Time Evolution of Coherent Ring Currents |
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167 | (3) |
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3.5 Time Dependent Angular Momentum for Three Types of Electron Coherence |
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170 | (1) |
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3.6 Design of Ultrafast Multi-dimensional Quantum Switching |
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170 | (2) |
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3.7 Coherent π-Electron Rotations in Aromatic Chain Molecules |
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172 | (2) |
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174 | (3) |
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175 | (2) |
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Full Quantum Calculations of the Diffusion Rate of Adsorbates |
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177 | (20) |
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177 | (2) |
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179 | (4) |
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2.1 Dynamical Structure Factor |
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179 | (1) |
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180 | (1) |
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181 | (2) |
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183 | (8) |
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183 | (6) |
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189 | (2) |
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191 | (6) |
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192 | (5) |
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Part IV Fundamental Theory |
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Relativistic Quantum Chemistry: An Advanced Approach to the Construction of the Green Function of the Dirac Equation with Complex Energy and Mean-Field Nuclear Potential |
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197 | (22) |
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198 | (3) |
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2 Dirac Equation with Complex Energy: Fundamental Solutions |
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201 | (2) |
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3 Non-Singular Nuclear Potential of the Dirac Equation: Relativistic Mean-Field and Fermi Models |
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203 | (4) |
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4 Construction of the Optimal One-Quasi-Electron Representation |
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207 | (2) |
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5 Procedure for Determination of the Second Fundamental Solution of the Dirac Equation and Anti-Wronscian |
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209 | (2) |
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6 General Scheme of Calculation for a Three-Electron System |
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211 | (1) |
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7 Calculation Results for Self-Energy Shifts to Atomic Level Energies: Li-like Ions |
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212 | (7) |
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214 | (5) |
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Spacetime-Based Foundation of Quantum Mechanics and General Relativity |
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219 | (28) |
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219 | (1) |
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2 Zero Point Energy and the Spacetime Field |
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220 | (5) |
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3 Spacetime Model of a Fundamental Particle |
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225 | (1) |
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4 Testing of the Particle Model |
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226 | (12) |
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4.1 Energy and Angular Momentum Test |
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226 | (1) |
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4.2 Curved Spacetime Test |
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227 | (3) |
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4.3 Gravitational and Electrostatic Force Test |
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230 | (1) |
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4.4 Unification of Forces |
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231 | (4) |
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235 | (2) |
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237 | (1) |
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5 Charge, Electric Fields and Black Holes |
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238 | (5) |
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243 | (4) |
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244 | (3) |
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A Zero Energy Universe Scenario: From Unstable Chemical States to Biological Evolution and Cosmological Order |
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247 | (38) |
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247 | (3) |
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2 Conjugate Variables and Einstein's Law of Special Relativity |
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250 | (2) |
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3 Einstein's Laws of General Relativity and the Schwarzschild Gauge |
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252 | (2) |
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4 Godel's Theorem and the Law of Self-Reference |
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254 | (5) |
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5 Non-Hermitian Quantum Mechanics |
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259 | (2) |
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6 Statistical Mechanics far from Equilibrium---Off-Diagonal Long-Range Order |
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261 | (3) |
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7 The Liouville Equation and the Prigogine Energy Operator |
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264 | (3) |
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8 Free Energy Configurations and the Correlated Dissipative Ensemble, CDE |
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267 | (3) |
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9 The CDE as a Spatio-Temporal Mnemonic Configuration, STEM |
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270 | (3) |
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10 The Poisson Distribution and its Implication for STEM |
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273 | (2) |
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11 Memory and Communication on Channel SELF |
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275 | (3) |
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278 | (7) |
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282 | (3) |
Index |
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285 | |