Simple Theorems, Proofs, and Derivations in Quantum Chemistry

Author:   Istvan Mayer
Publisher:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 2003
ISBN:  

9781441933898


Pages:   337
Publication Date:   06 December 2010
Format:   Paperback
Availability:   In Print   Availability explained
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Simple Theorems, Proofs, and Derivations in Quantum Chemistry


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Overview

This is an advanced volume on quantum chemistry that will be useful for graduate students and as a reference for people in or moving into the field. It will be multi-disciplinary in nature, attracting a market in physical chemistry, spectroscopy, physics, and materials science.

Full Product Details

Author:   Istvan Mayer
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 2003
Dimensions:   Width: 17.80cm , Height: 1.80cm , Length: 25.40cm
Weight:   1.350kg
ISBN:  

9781441933898


ISBN 10:   1441933891
Pages:   337
Publication Date:   06 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

1. The Born-Oppenheimer Hamiltonian.- 2. General Theorems and Principles.- 3. The Linear Variational Method and Löwdin’s Orthogonalization Schemes.- 4. Perturbational Methods.- 5. Determinant Wave Functions.- 6. The Hartree-Fock Method.- 7. Population Analysis, Bond Orders, and Valences.- 8. The Electron Correlation.- 9. Miscellaneous.- Appendices.- I. Separating the motion of the center of mass in classical mechanics.- II. Reducing the two-body problem to two one-body ones in classical mechanics.- III. Analogy between differentials and variations.- IV. Euler’s theorem for homogenous functions.- V. The virial theorem in classical mechanics.- VI. The electronic Schrödinger equation in atomic units.- VII. The “bra-ket” formalism.- 1. Dirac’s “bra” and “ket” vectors.- 2. Analogy with the matrix formalism.- 3. The use of an overlapping basis.- 4. Example of using the bra-ket formalism: The hypervirial theorem.- 5. Projection operators.- 6. Resolution of identity.- 7. Spectral resolution of Hermitian operators.- 8. The case of non-Hermitian operators—biorthogonal sets of functions.- 9. The trace of the projector.- VIII. Collection of formulas for Rayleigh-Schrödinger perturbation theory (nondegenerate case).- IX. Direct products of matrices.- X. Permutations.- XI. An orthogonalization algorithm.

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