The Principles of Quantum MechanicsClarendon Press, 1981 - 314 Seiten The first edition of this work appeared in 1930, and its originality won it immediate recognition as a classic of modern physical theory. The fourth edition has been bought out to meet a continued demand. Some improvements have been made, the main one being the complete rewriting of the chapter on quantum electrodymanics, to bring in electron-pair creation. This makes it suitable as an introduction to recent works on quantum field theories. |
Inhalt
THE PRINCIPLE OF SUPERPOSITION | 1 |
The Polarization of Photons | 4 |
Interference of Photons | 7 |
Superposition and Indeterminacy | 10 |
Mathematical Formulation of the Principle | 14 |
Bra and Ket Vectors | 18 |
DYNAMICAL VARIABLES AND OBSERVABLES | 23 |
Conjugate Relations | 26 |
The Change in the Energylevels caused by a Perturbation | 168 |
The Perturbation considered as causing Transitions | 172 |
Application to Radiation | 175 |
Transitions caused by a Perturbation Independent of the Time | 178 |
The Anomalous Zeeman Effect | 181 |
COLLISION PROBLEMS | 185 |
The Scattering Coefficient | 188 |
Solution with the Momentum Representation | 193 |
Eigenvalues and Eigenvectors | 29 |
Observables | 34 |
Functions of Observables | 41 |
The General Physical Interpretation | 45 |
Commutability and Compatibility | 49 |
REPRESENTATIONS | 53 |
The 8 Function | 58 |
Properties of the Basic Vectors | 62 |
The Representation of Linear Operators | 67 |
Probability Amplitudes | 72 |
Theorems about Functions of Observables | 76 |
Developments in Notation | 79 |
THE QUANTUM CONDITIONS | 84 |
Schrödingers Representation | 89 |
The Momentum Representation | 94 |
Heisenbergs Principle of Uncertainty | 97 |
Displacement Operators | 99 |
Unitary Transformations | 103 |
THE EQUATIONS OF MOTION | 108 |
Heisenbergs Form for the Equations of Motion | 111 |
Stationary States | 116 |
The Free Particle | 118 |
The Motion of Wave Packets | 121 |
The Action Principle | 125 |
The Gibbs Ensemble | 130 |
ELEMENTARY APPLICATIONS | 136 |
Angular Momentum | 140 |
Properties of Angular Momentum | 144 |
The Spin of the Electron | 149 |
Motion in a Central Field of Force | 152 |
Energylevels of the Hydrogen Atom | 156 |
Selection Rules | 159 |
The Zeeman Effect for the Hydrogen Atom | 165 |
PERTURBATION THEORY | 167 |
Dispersive Scattering | 199 |
Resonance Scattering | 201 |
Emission and Absorption | 204 |
SYSTEMS CONTAINING SEVERAL SIMILAR PARTICLES | 207 |
Permutations as Dynamical Variables | 211 |
Permutations as Constants of the Motion | 213 |
Determination of the Energylevels | 216 |
Application to Electrons | 219 |
THEORY OF RADIATION | 225 |
The Connexion between Bosons and Oscillators | 227 |
Emission and Absorption of Bosons | 232 |
Application to Photons | 235 |
The Interaction Energy between Photons and an Atom | 239 |
Emission Absorption and Scattering of Radiation | 244 |
An Assembly of Fermions | 248 |
RELATIVISTIC THEORY OF THE ELECTRON | 253 |
The Wave Equation for the Electron | 254 |
Invariance under a Lorentz Transformation | 258 |
The Motion of a Free Electron | 261 |
Existence of the Spin | 263 |
Transition to Polar Variables | 267 |
The Finestructure of the Energylevels of Hydrogen | 269 |
Theory of the Positron | 273 |
QUANTUM ELECTRODYNAMICS | 276 |
Relativistic Form of the Quantum Conditions | 280 |
The Dynamical Variables at one Time | 283 |
The Supplementary Conditions | 287 |
Electrons and Positrons by Themselves | 292 |
The Interaction | 298 |
The Physical Variables | 302 |
Interpretation | 306 |
Applications | 310 |
| 313 | |
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algebraic angular momentum anticommutation applied arbitrary atom basic bras basic kets basic vectors belonging bosons canonical coordinates classical mechanics classical theory coefficient commutation relations commuting observables complete set components conjugate complex conjugate imaginary constant coordinates and momenta d³x defined denote diagonal displacement dynamical system dynamical variables eigen eigenbras eigenstate eigenvalues electron emission energy-levels equal equations of motion expressed fermions form a complete formula given gives Hamiltonian Heisenberg picture hence integral interaction ket vector linear operator m₂ mathematical matrix elements multiplied obtain orthogonal oscillator permutation photon physical polarization positrons probability quantities quantum mechanics quantum theory radiation real dynamical variable relativistic representation representative result right-hand side satisfy scalar product scattering Schrödinger Schrödinger picture Schrödinger's wave equation set of commuting spin standard ket stationary superposition supplementary conditions symmetrical theorem tion transition unperturbed system values vanish wave equation wave function zero