Front Cover -- Advances in Quantum chemistry -- Copyright -- Contents -- Contributors -- Preface -- Chapter One: Per-Olov Löwdin's Impact on a ``Lost Son'' -- 1. Introduction -- 2. The Many Faces of Professor Per-Olov Löwdin -- 3. Prof. Löwdin's Impact on My Professional Career -- 4. Conclusion -- Supplementary Information -- References -- Chapter Two: Consequences of EPR-Proton Qubits Populating DNA -- 1. Introduction -- 1.1. Background and Context -- 1.2. EPR-Entanglement Algorithm Exhibited by T4 Phage, Rat, and Human Genomes -- 2. Reactive Proton States in Duplex DNA -- 2.1. Quantum Uncertainty Limits Generating Entangled Proton Qubits via EPR Arrangements, Keto-Amino→Enol-Imine -- 2.2. Approximate Lifetimes of Metastable Keto-Amino Protons -- 2.3. Model Calculations for Proton Qubit Oscillations, Using a Double Minimum Symmetric Potential and an Asymmetric Doubl ... -- 2.4. Qualitative Estimates for Proton Decoherence Times -- 3. Wave Functions for Entangled Proton Qubit Superposition States Occupying Complementary Pairs at *G'-*C' and G-C Sites -- 3.1. The Asymmetric Channel -- 3.2. The Symmetric Channel -- 4. Symmetry in Entangled Proton Qubit ``Measurements'' on G'2 0 2 and *C2 0 22 States -- 5. Enzyme-Proton Entanglement for ``Incoming'' Tautomer Quantum Search -- 6. Entanglement Resource Hypothesis for Origin of the Triplet Code -- 7. Hypothesis for Molecular ``Life-Forms'' to Originate and Evolve on Prebiotic ``Earth-Like'' Planets -- 8. EPR-Entanglement Algorithm Predictions of Observable, Time-Dependent Genome Evolution Events and Processes -- 8.1. Roles of Entangled Proton Qubits and ``Gatekeeper'' Genes in Orgel's ``Error Catastrophe'' Hypothesis -- 8.2. Entanglement-Originated, and Classically Originated, SNPs Exhibit Distinguishable Biological Profiles.

8.3. Quantum and Classical Contributions to Age-Related Disease via an EPR-Entanglement, Darwinian Polynomial -- 8.4. Manifestation of Huntington's Disease in Terms of Quantum Entanglement and Classical Contributions to the Expanded ... -- 8.5. Age-Related Tumorigenesis in Terms of the Darwinian, EPR-Entanglement Polynomial -- 8.6. Origin of Late-Onset Alzheimer's Disease in Terms of the Darwinian, EPR-Entanglement Polynomial -- 9. Discussion -- 10. Summarizing Conclusion -- Acknowledgments -- Appendix. Probability of EPR-Generated Hydrogen Bond Arrangements, Keto-Amino→Enol-Imine, Using Approximate Quantum Methods20 -- References -- Chapter Three: Electron-Impact Ionization Cross Sections for Inner L- and M-Subshells of Atomic Targets at Relativistic E ... -- 1. Introduction -- 2. Outline of the Theoretical Models -- 2.1. XMCN Model -- 2.2. XMUIBED Model -- 3. Experimental Data Sources -- 4. Results and Discussions -- 4.1. Inner-Subshell Ionization of L -- 4.2. Inner-Subshell Ionization of M -- 5. Conclusions -- Acknowledgments -- References -- Chapter Four: Aromaticity Revisited -- 1. Introduction -- 2. Structural Approach to Aromaticity -- 3. The Hückel 4n+2 Rule -- 4. The Generalized Hückel 4n+2 Rule -- 5. Conjugated Circuits -- 6. Three Novel Major Findings -- 7. One Swallow Does Not Make a Spring -- 8. Numerical Clar's Aromatic Sextet Structures -- 9. Ring Bond Orders -- 10. The Fully Benzenoid Hydrocarbons -- 11. Global Aromatic Character -- 12. Aromaticity Map of Benzenoid Hydrocarbons -- 13. An Illustration -- 14. On the Count of Kekulé Valence Structures in Benzenoid Hydrocarbons -- 15. Aromaticity and Pseudoaromaticity -- 16. Concluding Remarks -- Acknowledgments -- References -- Chapter Five: The Series Solution Method in Quantum Chemistry for Three-Particle Systems -- 1. Introduction -- 2. The Series Solution Method.

2.1. One Dimension -- 2.2. Multidimension -- 3. The Series Solution Method for Helium -- 3.1. The Seminal 1958 Paper of Pekeris -- 3.1.1. Perimetric Coordinates -- 3.1.2. The Wavefunction -- 3.2. Comparison With the Variational Method -- 3.3. The Frost Papers -- 3.4. A Unified Treatment of Atoms and Molecules -- 4. The Stability of Three-Particle Systems -- 5. The Series Solution Method for Critical Stability -- 5.1. The Stability Domain of Unit-Charge Three-Body Systems -- 5.1.1. Lower Bound to Stability -- 5.1.2. ``Exact'' Stability Bound -- 5.2. The Critical Nuclear Charge for Binding Two-Electrons: A Variational Principle for the Threshold Value of Nuclear Charge -- 6. Electron Correlation: A HF Implementation -- 7. The Correlated Motion of Nuclei -- 8. Conclusions -- Acknowledgments -- References -- Chapter Six: Adiabatic Passage Control Methods for Ultracold Alkali Atoms and Molecules via Chirped Laser Pulses and Opti ... -- 1. Introduction -- 2. Adiabatic Rapid Passage Two-Photon Excitation of a Rydberg Atom -- 2.1. Introduction -- 2.2. ARP in a Three-Level Ladder System: Theory -- 2.3. ARP in a Three-Level Ladder System: Numerical Analysis -- 3. ARP Two-Photon Excitation in Ultracold Rb Interacting With a Single Nanosecond Chirped Pulse -- 3.1. Introduction -- 3.2. The Interaction Between the Linearly Chirped Pulse and the Four-Level System -- 3.3. Numerical Simulation and Adiabaticity Condition -- 3.4. Dressed State Analysis -- 3.4.1. Four-Level System -- 3.4.2. Effective Three-Level System -- 3.5. The Application to Transitions Between Magnetic Sublevels in the 85Rb Atom Using Circularly Polarized Light -- 4. Harmonic Spectral and Temporal Modulation of an Optical Frequency Comb to Control the Ultracold Molecules Formation -- 4.1. Introduction -- 4.2. The Seven-Level System.

4.3. Temporally Modulated OFC and Numerical Analysis of the System Dynamics -- 4.4. Spectrally Modulated OFC and Numerical Analysis of System Dynamics -- 4.5. The Impact of Decoherence -- 4.6. Parity Analysis -- 4.7. Dressed States Analysis -- 5. Conclusion -- Acknowledgments -- References -- Chapter Seven: Dipole Sum Rules of an Endohedral Confined Hydrogen Atom: Effects of the Cavity Discontinuity -- 1. Introduction -- 2. Theory -- 2.1. Sum Rules and Closure Relations -- 2.2. Dipole Oscillator Strength -- 2.3. Endohedral Confined Hydrogen Atom -- 2.4. Sum Rules for Endohedral Cavities -- 3. Results -- 4. Conclusions -- Acknowledgments -- References -- Chapter Eight: Electron-Atom and Electron-Molecule Resonances: Some Theoretical Approaches Using Complex Scaled Multiconf ... -- 1. Introduction -- 2. Theory -- 2.1. Resonances Correspond to the Complex Eigenvalues of the Hamiltonian -- 2.1.1. The Siegert Functions -- 2.1.2. ``Non-Hermitian'' Hamiltonian -- 2.2. Complex Scaling Makes the Resonances Amenable to Bound-State Methods -- 2.2.1. The Complex Scaling Transformation -- 2.2.2. Complex Scaling of the Hamiltonian -- 2.2.3. Spectrum of the Complex Scaled Hamiltonian -- 2.2.4. CCBON Basis for H- -- 2.2.5. Computational Issues -- 2.3. Multiconfigurational Self-Consistent Field-Based Methods Using H- -- 2.3.1. Second Quantization Algebra Adapted for CCBON Spin Orbitals -- 2.3.2. Complex Scaled Multiconfigurational Self-Consistent Field -- 2.3.3. MCSTEP Method -- 2.3.4. Complex Scaled Multiconfigurational Time-Dependent Hartree-Fock -- 2.3.5. Complex Scaled Multireference Configuration Interaction -- 3. Results and Discussion -- 3.1. Atoms Using CMCSTEP -- 3.1.1. 2P Be- Shape Resonance -- 3.1.2. 2P Mg- Shape Resonance -- 3.1.3. 2D Ca- Shape Resonance -- 3.1.4. B- Shape, Feshbach, and Core-Excited Resonances -- 3.1.4.1. The 1s22s22p21D Shape Resonance.

3.1.4.2. The 3D 1s22s2p3 Feshbach Resonance -- 3.1.4.3. The 1s2s22p33D, 3S, and 3P Core-Excited Resonances -- 3.2. Diatomic Molecules Using CMCSTEP -- 3.2.1. N2- Shape Resonance -- 3.2.2. CO- Shape Resonance -- 3.2.3. NO- Shape Resonances -- 3.2.4. O2- Shape Resonance -- 3.3. CMCDTHF -- 3.3.1. The He1S (2s2) State -- 3.3.2. The Be1Po (1s22p3s) State -- 3.4. A CMR-CI Method -- 3.4.1. He (2s2) 1S State -- 3.4.2. Core-Excited Auger Resonances for the Li and Li-Like Systems -- 3.4.3. The Core-Excited Auger Resonances for the Be and Be-Like Systems -- 4. Summary and Conclusions -- Acknowledgment -- References -- Chapter Nine: The Hydrogen-Atom Problem and Coulomb Sturmian Functions in Spheroidal Coordinates -- 1. Introduction -- 2. Discrete Spectrum -- 2.1. Basic Equations -- 2.2. Coulomb Spheroidal Functions -- 2.3. Properties of Coulomb Spheroidal Functions -- 3. Continuous Spectrum -- 3.1. Quasi-Angular Functions -- 3.2. Quasi-Radial Functions -- 4. Coulomb Sturmian Basis in Spheroidal Coordinates -- 5. Application -- 6. Conclusion -- Appendix A -- Appendix B -- Appendix C -- References -- Further Reading -- Index -- Back Cover.