Mathematics for Quantum Chemistry 1st edition by Jay Martin Anderson – Ebook PDF Instant Download/Delivery: 0486442306, 9780486442303
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ISBN 10: 0486442306
ISBN 13: 9780486442303
Author: Jay Martin Anderson
This concise volume offers undergraduate students of chemistry an introduction to the mathematical formalism encountered in problems of molecular structure and motion. The author presents only two main topics from mathematics and two from physics: the calculus of orthogonal functions and the algebra of vector spaces from mathematics; and from physics, the Lagrangian and Hamiltonian formulation of classical mechanics and its applications to molecular motion. The chosen topics possess particular relevance to modern quantum chemistry, especially in regard to the application of quantum mechanics to molecular spectroscopy. Mathematics for Quantum Chemistry develops the foundations for a physical and mathematical background in quantum chemistry in general, and for molecular spectroscopy in particular. It assumes a knowledge of calculus through partial derivatives and multiple integration, a year of physics, and chemistry through a year of physical chemistry.
Mathematics for Quantum Chemistry 1st Table of contents:
1 – Introduction
1-1 EIGENVALUE PROBLEMS IN QUANTUM MECHANICS
1–2 EIGENVALUE PROBLEMS IN CLASSICAL MECHANICS
1–3 SCOPE OF THIS BOOK
2 – Orthogonal Functions
2-1 INTRODUCTORY CONCEPTS: ORTHOGONALITY AND NORMALIZATION
2-2 EXPANSION IN TERMS OF ORTHONORMAL FUNCTIONS
2-3 THE FOURIER SERIES
2–4 CONSTRUCTION OF ORTHONORMAL FUNCTIONS
2–5 THE LEGENDRE POLYNOMIALS AND OTHER SPECIAL FUNCTIONS
3 – Linear Algebra
3-1 INTRODUCTION
3-2 MATRICES, DETERMINANTS, AND LINEAR EQUATIONS
3–3 LINEAR TRANSFORMATIONS
3–4 LINEAR OPERATORS
4 – Classical Mechanics
4-1 INTRODUCTION AND THE CONSERVATION LAWS
4-2 GENERALIZED COORDINATES AND LAGRANGE’S EQUATIONS; HAMILTON’S EQUATIONS
4-3 VIBRATIONS OF A MECHANICAL SYSTEM
4-4 ROTATIONS OF A RIGID MECHANICAL SYSTEM
5 – Conclusion
5−1 THE BRIDGE BETWEEN CLASSICAL AND QUANTUM MECHANICS
5—2 THE SYNTHESIS OF MATRIX AND WAVE MECHANICS
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