A Mathematical Primer on Quantum Mechanics

A Mathematical Primer on Quantum Mechanics

Author: Alessandro Teta

Publisher: Springer

Published: 2018-04-17

Total Pages: 265

ISBN-13: 3319778935

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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

Published: 2023-11-08

Total Pages: 292

ISBN-13: 1394191162

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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

Published: 2012-12-13

Total Pages: 177

ISBN-13: 0486151484

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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.


Introduction to Quantum Theory and Atomic Structure

Introduction to Quantum Theory and Atomic Structure

Author: P. A. Cox

Publisher: Oxford University Press, USA

Published: 1996

Total Pages: 90

ISBN-13: 9780198559160

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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


Primer of Quantum Mechanics

Primer of Quantum Mechanics

Author: Marvin Chester

Publisher: Courier Corporation

Published: 2012-04-26

Total Pages: 338

ISBN-13: 0486138208

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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.


A Primer in Density Functional Theory

A Primer in Density Functional Theory

Author: Carlos Fiolhais

Publisher: Springer Science & Business Media

Published: 2003-06-11

Total Pages: 290

ISBN-13: 3540030832

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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.


Lectures on Quantum Mechanics

Lectures on Quantum Mechanics

Author: Philip L. Bowers

Publisher: Cambridge University Press

Published: 2020-09-17

Total Pages: 585

ISBN-13: 1108429769

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


Propagators in Quantum Chemistry

Propagators in Quantum Chemistry

Author: Jan Linderberg

Publisher: John Wiley & Sons

Published: 2004-03-26

Total Pages: 282

ISBN-13: 9780471662570

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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.


Computational Chemistry

Computational Chemistry

Author: Jeremy Harvey

Publisher:

Published: 2018-01-29

Total Pages: 160

ISBN-13: 9780198755500

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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.


A Cambridge Quantum Mechanics Primer

A Cambridge Quantum Mechanics Primer

Author: Mark Warner

Publisher: Periphyseos Press

Published: 2021-01-14

Total Pages: 0

ISBN-13: 9781838216047

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This quantum mechanics primer will accompany the reader from school to university. The formal basis of the subject is briefly introduced, and the reader is then quickly given the tools to start solving problems as diverse as quantising motion in potentials, quantum mechanical tunnelling, muon catalysed fusion, pair production, motion in nanostructures, and the interference of particles as waves. Chapters 1-3 guide the transition from school to university, and develop the skills and understanding that are typically tested in admissions to university physics, maths and engineering degrees. Chapters 2-5 cover university-level quantum mechanics courses, up to the second year of a typical physics degree. All problems can be answered and marked on the Isaac Physics online platform. Registration is free and gives both students and teachers personalised support through a sophisticated online marking system for all problems. This second edition is a co-publication between Periphyseos Press and Cambridge University Press.