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- Title Pages
- Dedication
- Preface to Second Edition
- Preface to First Edition
- Acknowledgments
- 1 Basic Dynamics of Point Particles and Collections
- 2 Introduction to Lagrangian Mechanics
- 3 Lagrangian Theory of Constraints
- 4 Introduction to Hamiltonian Mechanics
- 5 The Calculus of Variations
- 6 Hamilton's Principle
- 7 Linear Operators and Dyadics
- 8 Kinematics of Rotation
- 9 Rotational Dynamics
- 10 Small Vibrations about Equilibrium
- 11 Central Force Motion
- 12 Scattering
- 13 Lagrangian Mechanics with Time as a Coordinate
- 14 Hamiltonian Mechanics with Time as a Coordinate
- 15 Hamilton'S Principle and Noether's Theorem
- 16 Relativity and Spacetime
- 17 Fourvectors and Operators
- 18 Relativistic Mechanics
- 19 Canonical Transformations
- 20 Generating Functions
- 21 Hamilton-Jacobi Therory
- 22 Angle‐Action Variables
- Appendix A Vector Fundamentals
- Appendix B Matrices and Determinants
- Appendix C Eigenvalue Problem with General Metric
- Appendix D The Calculus of Many Variables
- Appendix E Geometry of Phase Space
- References
- Index

# (p.568) Appendix C Eigenvalue Problem with General Metric

# (p.568) Appendix C Eigenvalue Problem with General Metric

- Source:
- Analytical Mechanics for Relativity and Quantum Mechanics
- Publisher:
- Oxford University Press

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- Title Pages
- Dedication
- Preface to Second Edition
- Preface to First Edition
- Acknowledgments
- 1 Basic Dynamics of Point Particles and Collections
- 2 Introduction to Lagrangian Mechanics
- 3 Lagrangian Theory of Constraints
- 4 Introduction to Hamiltonian Mechanics
- 5 The Calculus of Variations
- 6 Hamilton's Principle
- 7 Linear Operators and Dyadics
- 8 Kinematics of Rotation
- 9 Rotational Dynamics
- 10 Small Vibrations about Equilibrium
- 11 Central Force Motion
- 12 Scattering
- 13 Lagrangian Mechanics with Time as a Coordinate
- 14 Hamiltonian Mechanics with Time as a Coordinate
- 15 Hamilton'S Principle and Noether's Theorem
- 16 Relativity and Spacetime
- 17 Fourvectors and Operators
- 18 Relativistic Mechanics
- 19 Canonical Transformations
- 20 Generating Functions
- 21 Hamilton-Jacobi Therory
- 22 Angle‐Action Variables
- Appendix A Vector Fundamentals
- Appendix B Matrices and Determinants
- Appendix C Eigenvalue Problem with General Metric
- Appendix D The Calculus of Many Variables
- Appendix E Geometry of Phase Space
- References
- Index