J. L. Martin

This book is an Introductory text in quantum mechanics. It is part of the Oxford Physics Series. The introduces quantum mechanics by first summarising the deficiencies in the classical scheme. The material is developed alongside the required mathematics which makes the book more or less self contained. The mathematical digressions cover hermitian matrices, vectors, and differential equations in sufficient detail to follow the text. A more general text may be required for those with a less robust mathematical background. Chapter Titles: 1. Basics 2. Observables 3. Equations of Motion 4. Quantum Particles in one Dimension: Basics 5. Quantum Particles in One Dimension: Some Examples. 6. Quantum Particles in Three Dimensions 7. The Stern Gerlach Effect and the Spin of the Electron 8. A Quantum Particle in a Spherically Symmetric Potential 9. The Bound States of the Hydrogen Atom 10. The Dirac Notation 11. Harmonic Motion 12. Eigenvalue Perturbation Theory 13. Eigenvalue Perturbation Theory: The degenerate case 14. Time Dependent Perturbation Theory: 15. Electric Dipole Radiation 16. Variational Approximations 17. Variational Approximations: Two Realistic Applications 18. Experience is the enemy of intuition The book also contains a good range of examples and problems spread throughout the text (no solutions given)

This is a textbook on general relativity for upper-division undergraduates majoring in physics, at roughly the same level as Rindler's Essential Relativity or Hartle's Gravity. The book is meant to be especially well adapted for self-study, and answers are given in the back of the book for almost all the problems. The ratio of conceptual to mathematical problems is higher than in most books. The notational system emphasized most strongly is coordinate-free abstract index notation. Knowledge of first-year calculus and lower-division mechanics and electromagnetism is assumed. Differential equations, linear algebra, and vector calculus are used in various spots, and although it would not be too hard to skip over those spots while understanding the general ideas, the reality is that general relativity is a subject in which a fairly high degree of mathematical maturity will be useful. Special relativity is introduced from scratch, but it will be very helpful to have a thorough previous knowledge of SR, at the level of a book such as Taylor and Wheeler's Spacetime Physics or my own text Special Relativity.