Simple Theorems, Proofs, and Derivations in Quantum Chemistry

2013-04-17 Science

Author : Istvan Mayer
Release : 2013-04-17
Genre : Science
Kind : eBook
Book Rating : 193/5 ( reviews)

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Book Synopsis Simple Theorems, Proofs, and Derivations in Quantum Chemistry by : Istvan Mayer

Download or read book Simple Theorems, Proofs, and Derivations in Quantum Chemistry written by Istvan Mayer. This book was released on 2013-04-17. Available in PDF, EPUB and Kindle. Book excerpt: Since 1983 I have been delivering lectures at Budapest University that are mainly attended by chemistry students who have already studied quantum chem istry in the amount required by the (undergraduate) chemistry curriculum of the University, and wish to acquire deeper insight in the field, possibly in prepara tion of a master's or Ph.D. thesis in theoretical chemistry. In such a situation, I have the freedom to discuss, in detail, a limited number of topics which I feel are important for one reason or another. The exact coverage may vary from year to year, but I usually concentrate on the general principles and theorems and other basic theoretical results which I foresee will retain their importance despite the rapid development of quantum chemistry. I commonly organize my lectures by treating the subject from the begin ning, without referring explicitly to any actual previous knowledge in quantum chemistry-only some familiarity with its goals, approaches and, to a lesser ex tent, techniques is supposed. I concentrate on the formulae and their derivation, assuming the audience essentially understands the reasons for deriving these results. This book is basically derived from the material of my lectures. The spe cial feature, distinguishing it from most other textbooks, is that all results are explicitly proved or derived, and the derivations are presented completely, step by step. True understanding of a theoretical result can be achieved only if one has gone through its derivation.

Quantum Chemistry

2012-12-02 Science

Author : John Lowe
Release : 2012-12-02
Genre : Science
Kind : eBook
Book Rating : 161/5 ( reviews)

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Book Synopsis Quantum Chemistry by : John Lowe

Download or read book Quantum Chemistry written by John Lowe. This book was released on 2012-12-02. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Chemistry covers the basic principles, methods, and results of quantum chemistry, providing insights on electron behavior. This book is organized into 14 chapters that focus on ground state molecular orbital theory. After briefly dealing with some of the concepts of classical physics, the book goes on describing some simple but important particle systems. It then examines several systems with discontinuous potential energies, such as the simple harmonic oscillator and the hydrogen-like ion system. A chapter presents a set of postulates and theorems that form the formal foundation of quantum mechanics. Considerable chapters are devoted to various quantum chemical methods, as well as their basic features and application to molecular orbital evaluation. These methods include Huckel molecular orbital, variation, linear variation, extended Huckel, and SCF-LCAO-MO. The concluding chapters deal with the development of theories for molecular orbital, including time-independent Rayleigh-Schrodinger perturbation, group, and qualitative molecular orbital theories. Supplemental texts of the more complicated derivations or proofs and problems encountered in quantum chemistry are also provided. This book is an introductory text intended for organic, inorganic, and physical chemists, as well as for graduate and undergraduate students.

Quantum Chemistry

2012-12-02 Science

Author : John P. Lowe
Release : 2012-12-02
Genre : Science
Kind : eBook
Book Rating : 541/5 ( reviews)

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Book Synopsis Quantum Chemistry by : John P. Lowe

Download or read book Quantum Chemistry written by John P. Lowe. This book was released on 2012-12-02. Available in PDF, EPUB and Kindle. Book excerpt: Praised for its appealing writing style and clear pedagogy, Lowe's Quantum Chemistry is now available in its Second Edition as a text for senior undergraduate- and graduate-level chemistry students. The book assumes little mathematical or physical sophistication and emphasizes an understanding of the techniques and results of quantum chemistry, thus enabling students to comprehend much of the current chemical literature in which quantum chemical methods or concepts are used as tools. The book begins with a six-chapter introduction of standard one-dimensional systems, the hydrogen atom, many-electron atoms, and principles of quantum mechanics. It then provides thorough treatments of variation and perturbation methods, group theory, ab initio theory, Huckel and extended Huckel methods, qualitative MO theory, and MO theory of periodic systems. Chapters are completed with exercises to facilitate self-study. Solutions to selected exercises are included. Assumes little mathematical or physical sophistication Emphasizes understanding of the techniques and results of quantum chemistry Includes improved coverage of time-dependent phenomena, term symbols, and molecular rotation and vibration Provides a new chapter on molecular orbital theory of periodic systems Features new exercise sets with solutions Includes a helpful new appendix that compiles angular momentum rules from operator algebra

Ideas of Quantum Chemistry

2020-01-11 Science

Author : Lucjan Piela
Release : 2020-01-11
Genre : Science
Kind : eBook
Book Rating : 471/5 ( reviews)

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Book Synopsis Ideas of Quantum Chemistry by : Lucjan Piela

Download or read book Ideas of Quantum Chemistry written by Lucjan Piela. This book was released on 2020-01-11. Available in PDF, EPUB and Kindle. Book excerpt: Ideas of Quantum Chemistry, Volume One: From Quantum Physics to Chemistry shows how quantum mechanics is applied to molecular sciences to provide a theoretical foundation. Organized into digestible sections and written in an accessible style, it answers questions, highlighting the most important conclusions and essential mathematical formulae. Beginning with an introduction to the magic of quantum mechanics, the book goes on to review such key topics as the Schrödinger Equation, exact solutions, and fundamental approximate methods. The crucial concept of molecular shape is then discussed, followed by the motion of nuclei and the orbital model of electronic structure. This updated volume covers the latest developments in the field and can be used either on its own as a detailed introduction to quantum chemistry or in combination with Volume Two to give a complete overview of the field. Provides fully updated coverage on an extensive range of both foundational and complex topics Uses an innovative structure to emphasize relationships between topics and help readers tailor their own path through the book Includes new sections on Time-Energy Uncertainty and Virial Theorem

Advances in Quantum Chemistry

2023-09-28 Science

Author :
Release : 2023-09-28
Genre : Science
Kind : eBook
Book Rating : 642/5 ( reviews)

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Book Synopsis Advances in Quantum Chemistry by :

Download or read book Advances in Quantum Chemistry written by . This book was released on 2023-09-28. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Quantum Chemistry, Volume 88 presents the latest ongoing research at the forefront of Electronic structure theory. Chapters in the updated release include Spin-constrained Hartree-Fock and the generator coordinate method for the 2-site Hubbard model, Analytical evaluation of Hylleraas-CI Coulomb and Hybrid two-center Integrals over Slater orbitals, Hartree-Fock-Roothaan Theory of Molecular Compton Profiles Via Position Space Method, Analysis of Research Trend on the Molecular Integrals Over Slater Type Orbitals, An efficient approximation for accelerating convergence of numerical power series, Results for the 1D-Schroedinger equation, The aims and objectives of algebraic molecular orbital theory, and much more. Includes new theoretical methods Provides state-of-the art electron correlation, methods and effects Covers the challenge of excited electronic states

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