A Mathematical Primer on Quantum Mechanics

A Mathematical Primer on Quantum Mechanics
Author: Alessandro Teta
Publisher: Springer
Total Pages: 265
Release: 2018-04-17
Genre: Science
ISBN: 3319778935

This book offers a rigorous yet elementary approach to quantum mechanics that will meet the needs of Master’s-level Mathematics students and is equally suitable for Physics students who are interested in gaining a deeper understanding of the mathematical structure of the theory. Throughout the coverage, which is limited to single-particle quantum mechanics, the focus is on formulating theory and developing applications in a mathematically precise manner. Following a review of selected key concepts in classical physics and the historical background, the basic elements of the theory of operators in Hilbert spaces are presented and used to formulate the rules of quantum mechanics. The discussion then turns to free particles, harmonic oscillators, delta potential, and hydrogen atoms, providing rigorous proofs of the corresponding dynamical properties. Starting from an analysis of these applications, readers are subsequently introduced to more advanced topics such as the classical limit, scattering theory, and spectral analysis of Schrödinger operators. The main content is complemented by numerous exercises that stimulate interactive learning and help readers check their progress.

A Primer on Quantum Chemistry

A Primer on Quantum Chemistry
Author: S. M. Blinder
Publisher: John Wiley & Sons
Total Pages: 292
Release: 2023-11-08
Genre: Science
ISBN: 1394191162

A Primer on Quantum Chemistry A practical and accessible guide to the applications of quantum chemistry Quantum chemistry, the branch of physical chemistry which applies quantum mechanical principles to the study of chemical systems, has become an integral part of the study of matter. Concerned with understanding quantum effects at the atomic and molecular level, quantum chemistry underlies an immense range of modern technologies. A Primer on Quantum Chemistry provides a lucid introduction to the difficult mathematical and conceptual foundations of this essential field. It incorporates Mathematica for operations in algebra and calculus, enabling readers to focus on the physical and chemical principles. It thereby equips students with the tools used by professional scientists in applications of quantum chemistry. A Primer on Quantum Chemistry readers will also find: Detailed treatment of subjects including the Schrödinger equation and many more Supplemental online material including problems, solutions, and details of Mathematica computations A carefully developed pedagogical approach that streamlines student progress through the subject A Primer on Quantum Chemistry is a must-own for graduate and advanced undergraduate students in chemistry, physics, and related subjects.

Mathematics for Quantum Chemistry

Mathematics for Quantum Chemistry
Author: Jay Martin Anderson
Publisher: Courier Corporation
Total Pages: 177
Release: 2012-12-13
Genre: Science
ISBN: 0486151484

Introduction to problems of molecular structure and motion covers calculus of orthogonal functions, algebra of vector spaces, and Lagrangian and Hamiltonian formulation of classical mechanics. Answers to problems. 1966 edition.

Quantum Mechanics 2

Quantum Mechanics 2
Author: N. J. B. Green
Publisher:
Total Pages: 110
Release: 1998
Genre: Science
ISBN:

The chemist's approach to the understanding of matter and its chemical transformations is to take a microscopic view, connecting experimental observation with the properties of the constituent molecules. Atoms and sub-atomic particles do not obey the classical laws of mechanics but conform rather to the laws of quantum mechanics. Quantum mechanics is thus of central importance in chemistry. In order to understand the behaviour of molecules and their constituent particles it is necessary to have a thorough grounding in the principles and applications of quantum mechanics. Quantum Mechanics 2: The Toolkit provides a toolkit for applying quantum mechanics to chemical problems, introducing more advanced approaches using approximate methods. It describes areas of chemistry where quantum mechanics is important, and shows how quantum mechanics can be applied to chemical problems.

Introduction to Quantum Theory and Atomic Structure

Introduction to Quantum Theory and Atomic Structure
Author: P. A. Cox
Publisher: Oxford University Press, USA
Total Pages: 90
Release: 1996
Genre: Science
ISBN: 9780198559160

All chemistry students need a basic understanding of quantum theory and its applications in atomic and molecular structure and spectroscopy. This book provides a gentle introduction to the subject with the required background in physics and mathematics kept to a minimum. It develops the basic concepts needed as background. The emphasis throughout is on the physical concepts and their application in chemistry, especially to atoms and to the periodic table of elements

A Primer in Density Functional Theory

A Primer in Density Functional Theory
Author: Carlos Fiolhais
Publisher: Springer Science & Business Media
Total Pages: 290
Release: 2003-06-11
Genre: Science
ISBN: 3540030832

Density functional theory (DFT) is by now a well-established method for tackling the quantum mechanics of many-body systems. Originally applied to compute properties of atoms and simple molecules, DFT has quickly become a work horse for more complex applications in the chemical and materials sciences. The present set of lectures, spanning the whole range from basic principles to relativistic and time-dependent extensions of the theory, is the ideal introduction for graduate students or nonspecialist researchers wishing to familiarize themselves with both the basic and most advanced techniques in this field.

Primer of Quantum Mechanics

Primer of Quantum Mechanics
Author: Marvin Chester
Publisher: Courier Corporation
Total Pages: 338
Release: 2012-04-26
Genre: Science
ISBN: 0486138208

Introductory text examines classical quantum bead on a track: state and representations; operator eigenvalues; harmonic oscillator and bound bead in a symmetric force field; bead in spherical shell. 1992 edition.

Lectures on Quantum Mechanics

Lectures on Quantum Mechanics
Author: Philip L. Bowers
Publisher: Cambridge University Press
Total Pages: 585
Release: 2020-09-17
Genre: Science
ISBN: 1108429769

A leisurely but mathematically honest presentation of quantum mechanics for graduate students in mathematics with an interest in physics.

Computational Chemistry

Computational Chemistry
Author: Jeremy Harvey
Publisher:
Total Pages: 160
Release: 2018-01-29
Genre:
ISBN: 9780198755500

The renowned Oxford Chemistry Primers series, which provides focused introductions to a range of important topics in chemistry, has been refreshed and updated to suit the needs of today's students, lecturers, and postgraduate researchers. The rigorous, yet accessible, treatment of each subject area is ideal for those wanting a primer in a given topic to prepare them for more advanced study orresearch.Computational Chemistry provides a user-friendly introduction to this powerful way of characterizing and modelling chemical systems. This primer provides the perfect introduction to the subject, leading the reader through thebasic principles before showing a variety of ways in which computational chemistry is applied in practice to study real molecules, all illustrated by frequent examples.

Propagators in Quantum Chemistry

Propagators in Quantum Chemistry
Author: Jan Linderberg
Publisher: John Wiley & Sons
Total Pages: 282
Release: 2004-03-26
Genre: Science
ISBN: 9780471662570

The only authoritative reference source on the propagator concept, now thoroughly revised and updated Much has changed in the study of quantum and theoretical chemistry since the publication of the first edition of Propagators in Quantum Chemistry. Advances in computer power and software packages now make it possible to calculate molecular structure, properties, spectra, and reactivity with greater predictive power. Chemical processes, especially under conditions not readily available in the laboratory, can also be much more easily studied via theory and computations. In this environment, the concept of propagators (or Green's functions) is emerging as an increasingly useful tool in the study of atomic and molecular processes. Propagators in Quantum Chemistry, Second Edition presents the theory and basic approximations of propagators in a unified manner as it provides: * A thorough introduction to propagators, and how they can be used to study atomic and molecular properties and spectra * Updated examples and technical details of the use of the propagator concept in various common approximate treatments * Problems that provide the opportunity to work out further details and applications of the theory Propagators, which are still gaining acceptance as tools in theoretical chemistry, have a long-demonstrated power and success in a number of areas including condensed matter physics. Propagators in Quantum Chemistry clearly describes the unprecedented utility and value of propagators, and explores how and why they are becoming increasingly important to scientists and researchers across the scientific spectrum.