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Preface | iii | |
1 | Introduction | 1 |
1-1 | Eigenvalue Problems in Quantum Mechanics | 1 |
1-2 | Eigenvalue Problems in Classical Mechanics | 4 |
1-3 | Scope of This Book | 4 |
Problem | 5 | |
2 | Orthogonal Functions | 6 |
2-1 | Introductory Concepts: Orthogonality and Normalization | 6 |
2-2 | Expansion in Terms of Orthonormal Functions | 15 |
2-3 | The Fourier Series | 21 |
2-4 | Construction of Orthonormal Functions | 27 |
2-5 | The Legendre Polynomials and Other Special Functions | 32 |
Problems | 45 | |
3 | Linear Algebra | 48 |
3-1 | Introduction | 48 |
3-2 | Matrices, Determinants, and Linear Equations | 57 |
3-3 | Linear Transformations | 76 |
3-4 | Linear Operators | 84 |
Problems | 101 | |
4 | Classical Mechanics | 105 |
4-1 | Introduction and the Conservation Laws | 105 |
4-2 | Generalized Coordinates and Lagrange's Equations; Hamilton's Equations | 110 |
4-3 | Vibrations of a Mechanical System | 121 |
4-4 | Rotations of a Rigid Mechanical System | 129 |
Problems | 134 | |
5 | Conclusion | 136 |
5-1 | The Bridge Between Classical and Quantum Mechanics | 136 |
5-2 | The Synthesis of Matrix and Wave Mechanics | 140 |
Problems | 142 | |
Appendix | Mathematical Background and Bibliography | 143 |
A-1 | Complex Numbers | 143 |
A-2 | Calculus: Partial Derivatives | 144 |
A-3 | Bibliography | 145 |
Answers to Problems | 147 | |
Index | 151 |
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Add Mathematics for Quantum Chemistry, This concise volume offers undergraduates an introduction to mathematical formalism in problems of molecular structure and motion. The main topics cover the calculus of orthogonal functions, algebra of vector spaces, and Lagrangian and Hamiltonian formula, Mathematics for Quantum Chemistry to the inventory that you are selling on WonderClubX
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Add Mathematics for Quantum Chemistry, This concise volume offers undergraduates an introduction to mathematical formalism in problems of molecular structure and motion. The main topics cover the calculus of orthogonal functions, algebra of vector spaces, and Lagrangian and Hamiltonian formula, Mathematics for Quantum Chemistry to your collection on WonderClub |