Exact Treatment of Finite Rank Modifications of Finite-Dimensional and Infinite-Dimensional Quantum Systems

Abstract

Mathematical Chemistry // Editors: W. I. Hong // Book description: Mathematical chemistry is the area of research engaged in the novel applications of mathematics to chemistry ; it concerns itself principally with the mathematical modeling of chemical phenomena. Mathematical chemistry has also sometimes been called computer chemistry, but should not be confused with computational chemistry. // Major areas of research in mathematical chemistry include chemical graph theory, which deals with topics such as the mathematical study of isomerism and the development of topological descriptors or indices which find application in quantitative structure-property relationships ; chemical aspects of group theory, which finds applications in stereochemistry and quantum chemistry ; and topological aspects of chemistry. // Table of Contents: // Preface // Exact Treatment of Finite Rank Modifications of Finite-Dimensional and Infinite-Dimensional Quantum Systems // (Tomislav P. Živkovic, Ruđer Boskovic Institute, Zagreb, Croatia) // Molecular Symmetry and Fuzzy Symmetry // (Xuezhuang Zhao, Department of Chemistry, Nankai University, Tianjin, P.R.China) // Information Perspective on Molecular Electronic Structure // (Roman F. Nalewajski, Faculty of Chemistry, Jagiellonian University, Cracow, Poland) // The Chemistry and Mathematics of DNA Polyhedra // (Wen-Yuan Qiu, Ze Wang, Guang Hu, State Key Laboratory of Applied Organic Chemistry, Department of Chemistry, Lanzhou University, Lanzhou, People’s Republic of China) // High-Gain Observers for Estimation of Kinetics in Batch and Continuous Bioreactors // (Dan Seli^(o)teanu, Emil Petre, Dorin ^(a)endrescu, Monica Roman, Department of Automatic Control, University of Craiova, Craiova, Romania) // Remarks on Novel Exact Solution Methodologies in Wavefunction Analysis // (Valentino A. Simpao, Mathematical Consultant Services, Greenville, Kentucky, USA) // On The Enumeration of Various Networks // (Michael J. Bucknum, Eduardo A. Castro, Consejo de Investigaciones Cientificas y Tecnicas (CONICET), Buenos Aires, Argentina, and others) // Chemical Physics of Phonons and Superconductivity: A Heuristic Approach // (Michael J. Bucknum, Eduardo A. Castro, INIFTA, Division Quimica Teorica Universidad Nacional de La Plata, La Plata, Buenos Aires, Argentina) // An Intensity-Enhanced 2D Graphical Representation of DNA and RNA Sequence // (Teik-Cheng Lim, School of Science and Technology, SIM University (UniSIM), Republic of Singapore) // Laguerre Functions with Applications from Mathematical Chemistry // (Damian Trif, Department of Applied Mathematics, Babes-Bolyai University of Cluj-Napoca, Romania) // Stability of Chemical and Phase Equilibrium: Alternative Forms of Equations for Themodynamic Analysis // (A.M. Toikka, Saint-Petersburg State University, Department of Chemical Thermodynamics & Kinetics, Saint-Petersburg, Russia) // Limitations in Using the Sanderson's Principle to Estimate Global Reactivity // (Jorge Martinez, Sociedad de Innovacion Cientifica--Tecnologica InnovaSciTech Ltda., Santiago, Chile) // A General Method for Central Potentials in Quantum Mechanics // (Amlan K. Roy, Division of Chemical Sciences, Indian Institute of Science Education and Research (IISER), Kolkata, India) // A Review of Reduction Methods for Multiple Time Scale Stochastic Reaction Networks // (Chang Hyeong Lee, Roger Liu, School of Mechanical and Advanced Materials Engineering, Ulsan Nacional Institute of Science and Technology (UNIST), South Korea) // Index