Quantum MechanicsRapid advances in quantum optics, atomic physics, particle physics and other areas have been driven by fantastic progress in instrumentation (especially lasers) and computing technology as well as by the ever-increasing emphasis on symmetry and information concepts-requiring that all physicists receive a thorough grounding in quantum mechanics. This book provides a carefully structured and complete exposition of quantum mechanics and illustrates the common threads linking many different phenomena and subfields of physics. |
Contents
Introduction to Quantum Mechanics | 1 |
Wave Packets and the Uncertainty Relations | 14 |
The Uncertainty Relations and the Spreading of Wave Packets | 20 |
The Principles of Wave Mechanics | 51 |
CHAPTER 5 | 79 |
Sectionally Constant Potentials in One Dimension | 92 |
CHAPTER 7 | 113 |
Variational Methods and Simple Perturbation Theory | 135 |
The Quantum Dynamics of a Particle | 344 |
The Spin | 372 |
Rotations and Other Symmetry Operations | 410 |
CHAPTER 18 | 451 |
TimeDependent Perturbation Theory | 482 |
The Formal Theory of Scattering | 517 |
CHAPTER 21 | 535 |
Applications to ManyBody Systems | 555 |
Vector Spaces in Quantum Mechanics | 179 |
Eigenvalues and Eigenvectors of Operators | 207 |
Angular Momentum in Quantum Mechanics | 233 |
Spherically Symmetric Potentials | 256 |
Scattering | 278 |
The Principles of Quantum Dynamics | 315 |
Photons and the Electromagnetic Field | 569 |
CHAPTER 24 | 592 |
APPENDIX | 630 |
| 642 | |
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Common terms and phrases
according amplitude angular momentum applied approximation assumed atom basis calculate Chapter classical coefficients commutation complete components condition consider constant coordinate corresponding defined definite density depends derive described determined differential direction discussion effect eigenfunctions eigenstates eigenvalues eigenvectors electron energy equal equation example Exercise expectation value expression field Figure finding follows formula given gives Hamiltonian harmonic oscillator Hence Hermitian identity incident initial integral interaction invariant levels limit linear magnetic matrix matrix elements measurement method motion normalized observables obtain operator particle particular perturbation phase photon physical plane polarization position possible potential principle probability problem properties Prove quantum mechanics relation representation represented requires result rotation satisfy scattering Schrödinger equation Show simple solution space substituted symmetry theory transformation transition unitary unperturbed variables vector wave function wave packet zero