Quantum MechanicsSpringer Science & Business Media, 6 déc. 2012 - 760 pages Intended for beginning graduate students, this text takes the reader from the familiar coordinate representation of quantum mechanics to the modern algebraic approach, emphsizing symmetry principles throughout. After an introduction of the basic postulates and techniques, the book discusses time-independent perturbation theory, angular momentum, identical particles, scattering theory, and time-dependent perturbation theory. It concludes with several lectures on relativistic quantum mechanics and on many-body theory |
Table des matières
| 3 | |
L | 30 |
Problems | 36 |
Magnetic Resonance | 58 |
Harmonic Oscillator Calculations | 65 |
C | 71 |
The Dirac Equation for a Quark Confined | 77 |
The Eigenvalue Problem | 82 |
nIdentical Particle States | 389 |
Introduction to Scattering Theory | 401 |
Mathematical Appendix to Chapter 41 Spherical Bessel Functions | 412 |
Phase | 419 |
Scattering from Spherical Square Well | 436 |
LowEnergy Scattering | 443 |
Scattering | 450 |
The Born Approximation | 462 |
Spherical Harmonics Orbital Angular Momentum | 92 |
lStep operators for the Equation | 102 |
Soluble OneDimensional Potential | 108 |
Supersymmetric Partner Potentials | 130 |
The Vector Space Interpretation of QuantumMechanical Systems | 138 |
Molecular Rotational Spectra | 152 |
Transformation Theory | 159 |
Transformation Theory for Systems with Continuous Spectra | 167 |
TimeDependence of State Vectors Algebraic Techniques | 173 |
Perturbation Theory | 203 |
The WignerBrillouin Expansion | 213 |
Perturbation Theory for Degenerate Levels | 221 |
The Case of Nearly Degenerate Levels | 229 |
Magnetic Field Perturbations | 235 |
Fine Structure and Zeeman Perturbations in Alkali Atoms | 243 |
Angular Momentum Coupling Theory | 263 |
Symmetry Properties of ClebschGordan Coefficients | 269 |
The ClebschGordan Series | 285 |
Problems | 291 |
The WignerEckart Theorem | 299 |
Matrix Elements of Coupled | 312 |
35 Perturbed Coulomb Problems via SO21 Algebra | 332 |
105 | 350 |
Applications of the WKB Approximation | 363 |
The TwoElectron Atom | 380 |
Operator Form of Scattering Greens Function and the Integral | 477 |
Inelastic Scattering Processes and Rearrangement Collisions | 481 |
Differential Scattering Cross Sections for Rearrangement | 488 |
The S Matrix | 503 |
Scattering Theory for Particles with Spin | 509 |
The Polarization Vector | 518 |
Isospin | 529 |
TimeDependent Perturbation Expansion | 541 |
Sudden and Adiabatic Approximations | 561 |
C | 584 |
Electric Dipole Approximation | 598 |
Hydrogen Atom | 606 |
General Case Electric | 615 |
Scattering of Photons by Atomic Systems | 631 |
Resonance Fluorescence Cross Section | 640 |
Relativistic Quantum Theory of Spin Particles 657 | 656 |
Lorentz Covariance of the Dirac Equation | 664 |
Bilinear Covariants | 671 |
Dirac Equation for a Particle in an Electromagnetic Field | 681 |
An Example from the History of Negative | 692 |
Exact Solutions for the Dirac Equation for Spherically Symmetric | 703 |
ManyBody Formalism | 721 |
Some Simple Applications | 739 |
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Expressions et termes fréquents
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