Quantum Mechanics Volume 1Hermann |
Contents
Directions for | 3 |
Quantum description of a particle wave packets | 21 |
Particle in a timeindependent scalar potential | 31 |
Complements of chapter I | 41 |
57 | 78 |
A Oneparticle wave function space | 92 |
Exercises | 106 |
Representations in the state space | 121 |
A Introduction | 212 |
The physical implications of the Schrödinger equation | 236 |
Complements of chapter III | 267 |
spin | 385 |
Complements of chapter IV | 416 |
Systems of identical particles 1369 | 430 |
The onedimensional harmonic oscillator | 481 |
Complements of chapter V | 509 |
Eigenvalue equations Observables | 132 |
E Two important examples of representations and observables | 144 |
F Tensor product of state spaces | 153 |
Complements of chapter II | 164 |
Unitary operators | 176 |
A more detailed study of the r and p representations | 182 |
The parity operator | 192 |
An application of the properties of the tensor product the two | 199 |
Chapter III | 205 |
General properties of angular momentum in quantum | 641 |
General theory of angular momentum | 647 |
Application to orbital angular momentum | 660 |
Complements of chapter VI | 677 |
Particle in a central potential The hydrogen atom | 773 |
Complements of chapter VII | 804 |
BIBLIOGRAPHY | 873 |
891 | |
Common terms and phrases
A₁ amplitude analogous angular momentum arbitrary associated assume axis chap chapter classical mechanics closure relation coefficients complement components consider constant corresponding d³r defined definition depends E₁ E₂ eigenfunctions eigenstates eigenvalue equation eigenvectors electromagnetic electron energy levels equal evolution example expression figure formula frequency given H₁ ħ² Hamiltonian harmonic oscillator Hermitian hydrogen atom integral L₂ magnetic field matrix elements mean value measurement molecule motion normalized observables obtain one-dimensional orbitals orthonormal basis P₁ particle photons physical quantity physical system plane polarized position postulates potential energy probability density problem properties quantization quantum mechanics r₁ r₂ representation represents respect rotation scalar product Schrödinger equation space spectrum spherical harmonics spin stationary subspace t₁ tensor product transform unitary unitary operator variables vector velocity vibrational wave function wave packet written x₁ zero