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Quantum Chemistry
Author: Ira N. Levine
Publisher: Pearson Higher Ed
ISBN: 0321918185
Pages: 768
Year: 2013-03-21
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This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. Known for its solid presentation of mathematics, this bestseller is a rigorous but accessible introduction to both quantum chemistry and the math needed to master it. Quantum Chemistry, Seventh Edition covers quantum mechanics, atomic structure, and molecular electronic structure, and provides a thorough, unintimidating treatment of operators, differential equations, simultaneous linear equations, and other areas of required math. Practical for readers in all branches of chemistry, the new edition reflects the latest quantum chemistry research and methods of computational chemistry, and clearly demonstrates the usefulness and limitations of current quantum-mechanical methods for the calculation of molecular properties.
Mathematics of Classical and Quantum Physics
Author: Frederick W. Byron, Robert W. Fuller
Publisher: Courier Corporation
ISBN: 0486135063
Pages: 672
Year: 2012-04-26
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Graduate-level text offers unified treatment of mathematics applicable to many branches of physics. Theory of vector spaces, analytic function theory, theory of integral equations, group theory, and more. Many problems. Bibliography.
Quantum Mechanics
Author: Albert Messiah
Publisher: Courier Corporation
ISBN: 0486791661
Pages: 1152
Year: 2014-02-17
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"Strongly recommended" by the American Journal of Physics, this volume serves as a text for advanced undergraduates and graduate students of physics as well as a reference for professionals. Clear in its presentation and scrupulous in its attention to detail, the treatment originally appeared in a two-volume French edition. This convenient single-volume translation begins with formalism and its interpretation, starting with the origins of quantum theory and examinations of matter waves and the Schrödinger equation, one-dimensional quantized systems, the uncertainty relations, and the mathematical framework and physical content of formalism. The second half opens with an exploration of symmetries and invariance, including a consideration of angular momentum, identical particles and the Pauli exclusion principle, invariance and conservation laws, and time reversal. Methods of approximation include those involving stationary perturbations, the equation of motion, variational method, and collision theory. The final chapters review the elements of relativistic quantum mechanics, and each of the two volumes concludes with useful appendixes.
Elementary Quantum Mechanics
Author: David S. Saxon
Publisher: Courier Corporation
ISBN: 0486310418
Pages: 448
Year: 2013-07-24
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This volume focuses on the formulas of quantum mechanics rather than on applications. Topics include the dual nature of matter and radiation, state functions, linear momentum, motion of a free particle, and more. 1968 edition.
Introduction to Quantum Mechanics with Applications to Chemistry
Author: Linus Pauling, E. Bright Wilson
Publisher: Courier Corporation
ISBN: 0486134938
Pages: 496
Year: 2012-06-08
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Classic undergraduate text explores wave functions for the hydrogen atom, perturbation theory, the Pauli exclusion principle, and the structure of simple and complex molecules. Numerous tables and figures.
The VSEPR Model of Molecular Geometry
Author: Ronald J Gillespie, Istvan Hargittai
Publisher: Courier Corporation
ISBN: 0486310523
Pages: 272
Year: 2013-03-21
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Valence Shell Electron Pair Repulsion (VSEPR) theory is a simple technique for predicting the geometry of atomic centers in small molecules and molecular ions. This authoritative reference was written by Istvan Hartiggai and the developer of VSEPR theory, Ronald J. Gillespie. In addition to its value as a text for courses in molecular geometry and chemistry, it constitutes a classic reference for professionals. Starting with coverage of the broader aspects of VSEPR, this volume narrows its focus to a succinct survey of the methods of structural determination. Additional topics include the applications of the VSEPR model and its theoretical basis. Helpful data on molecular geometries, bond lengths, and bond angles appear in tables and other graphics.
Modern Quantum Chemistry
Author: Attila Szabo, Neil S. Ostlund
Publisher: Courier Corporation
ISBN: 0486134598
Pages: 480
Year: 2012-06-08
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This graduate-level text explains the modern in-depth approaches to the calculation of electronic structure and the properties of molecules. Largely self-contained, it features more than 150 exercises. 1989 edition.
The Theory of Intermolecular Forces
Author: Anthony Stone
Publisher: OUP Oxford
ISBN: 0191652954
Pages: 352
Year: 2013-01-31
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The theory of intermolecular forces has advanced very greatly in recent years. It has become possible to carry out accurate calculations of intermolecular forces for molecules of useful size, and to apply the results to important practical applications such as understanding protein structure and function, and predicting the structures of molecular crystals. The Theory of Intermolecular Forces sets out the mathematical techniques that are needed to describe and calculate intermolecular interactions and to handle the more elaborate mathematical models. It describes the methods that are used to calculate them, including recent developments in the use of density functional theory and symmetry-adapted perturbation theory. The use of higher-rank multipole moments to describe electrostatic interactions is explained in both Cartesian and spherical tensor formalism, and methods that avoid the multipole expansion are also discussed. Modern ab initio perturbation theory methods for the calculation of intermolecular interactions are discussed in detail, and methods for calculating properties of molecular clusters and condensed matter for comparison with experiment are surveyed.
Linear Operators for Quantum Mechanics
Author: Thomas F. Jordan
Publisher: Courier Corporation
ISBN: 0486140547
Pages: 160
Year: 2012-09-20
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Suitable for advanced undergraduates and graduate students, this compact treatment examines linear space, functionals, and operators; diagonalizing operators; operator algebras; and equations of motion. 1969 edition.
Introduction to Spectral Theory in Hilbert Space
Author: Gilbert Helmberg
Publisher: Courier Dover Publications
ISBN: 0486466221
Pages: 346
Year: 2008-06-11
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This text introduces students to Hilbert space and bounded self-adjoint operators, as well as the spectrum of an operator and its spectral decomposition. The author, Emeritus Professor of Mathematics at the University of Innsbruck, Austria, has ensured that the treatment is accessible to readers with no further background than a familiarity with analysis and analytic geometry. Starting with a definition of Hilbert space and its geometry, the text explores the general theory of bounded linear operators, the spectral analysis of compact linear operators, and unbounded self-adjoint operators. Extensive appendixes offer supplemental information on the graph of a linear operator and the Riemann-Stieltjes and Lebesgue integration.
The Physics of Quantum Mechanics
Author: James Binney, David Skinner
Publisher: Oxford University Press
ISBN: 0199688575
Pages: 392
Year: 2013-12
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"First published by Cappella Archive in 2008."
Mathematical Methods in Quantum Mechanics
Author: Gerald Teschl
Publisher: American Mathematical Soc.
ISBN: 0821846604
Pages: 305
Year: 2009
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Quantum mechanics and the theory of operators on Hilbert space have been deeply linked since their beginnings in the early twentieth century. States of a quantum system correspond to certain elements of the configuration space and observables correspond to certain operators on the space. This book is a brief, but self-contained, introduction to the mathematical methods of quantum mechanics, with a view towards applications to Schrodinger operators. Part 1 of the book is a concise introduction to the spectral theory of unbounded operators. Only those topics that will be needed for later applications are covered. The spectral theorem is a central topic in this approach and is introduced at an early stage. Part 2 starts with the free Schrodinger equation and computes the free resolvent and time evolution. Position, momentum, and angular momentum are discussed via algebraic methods. Various mathematical methods are developed, which are then used to compute the spectrum of the hydrogen atom. Further topics include the nondegeneracy of the ground state, spectra of atoms, and scattering theory. This book serves as a self-contained introduction to spectral theory of unbounded operators in Hilbert space with full proofs and minimal prerequisites: Only a solid knowledge of advanced calculus and a one-semester introduction to complex analysis are required. In particular, no functional analysis and no Lebesgue integration theory are assumed. It develops the mathematical tools necessary to prove some key results in nonrelativistic quantum mechanics. Mathematical Methods in Quantum Mechanics is intended for beginning graduate students in both mathematics and physics and provides a solid foundation for reading more advanced books and current research literature. It is well suited for self-study and includes numerous exercises (many with hints).
Group Theory and Chemistry
Author: David M. Bishop
Publisher: Courier Corporation
ISBN: 0486132323
Pages: 336
Year: 2012-07-12
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Concise, self-contained introduction to group theory and its applications to chemical problems. Symmetry, matrices, molecular vibrations, transition metal chemistry, more. Relevant math included. Advanced-undergraduate/graduate-level. 1973 edition.
Lectures on Gas Theory
Author: Ludwig Boltzmann
Publisher: Courier Corporation
ISBN: 0486152332
Pages: 512
Year: 2012-08-15
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A masterpiece of theoretical physics, this classic contains a comprehensive exposition of the kinetic theory of gases. It combines rigorous mathematic analysis with a pragmatic treatment of physical and chemical applications.
Inorganic Spectroscopic Methods
Author: Alan K. Brisdon
Publisher: OUP Oxford
ISBN: 0198559496
Pages: 100
Year: 1998-06-18
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A knowledge of spectroscopic methods is required to interpret the shape and structure of compounds - this informative book concentrates on their application to inorganic compounds. The emphasis is placed on obtaining and interpreting the data rather than concentrating on the theory. To this end, examples are given in the text and worked through to show the processes involved in assigning spectra and obtaining information from them. This essential text for all undergraduate chemists will also benefit postgraduate students researching in the field of inorganic chemistry.