From the Preface to the first English edition |
Preface to the second English edition |
Preface to the third Russian edition |
Editor's Preface to the fourth Russian edition |
Notation |
The Basic Concepts of Quantum Mechanics / I.: |
The uncertainty principle / 1.: |
The principle of superposition / 2.: |
Operators / 3.: |
Addition and multiplication of operators / 4.: |
The continuous spectrum / 5.: |
The passage to the limiting case of classical mechanics / 6.: |
The wave function and measurements / 7.: |
Energy and Momentum / II.: |
The Hamiltonian operator / 8.: |
The differentiation of operators with respect to time / 9.: |
Stationary states / 10.: |
Matrices / 11.: |
Transformation of matrices / 12.: |
The Heisenberg representation of operators / 13.: |
The density matrix / 14.: |
Momentum / 15.: |
Uncertainty relations / 16.: |
Schrodinger's Equation / III.: |
Schrodinger's equation / 17.: |
The fundamental properties of Schrodinger's equation / 18.: |
The current density / 19.: |
The variational principle / 20.: |
General properties of motion in one dimension / 21.: |
The potential well / 22.: |
The linear oscillator / 23.: |
Motion in a homogeneous field / 24.: |
The transmission coefficient / 25.: |
Angular Momentum / IV.: |
Angular momentum / 26.: |
Eigenvalues of the angular momentum / 27.: |
Eigenfunctions of the angular momentum / 28.: |
Matrix elements of vectors / 29.: |
Parity of a state / 30.: |
Addition of angular momenta / 31.: |
Motion in a Centrally Symmetric Field / V.: |
Motion in a centrally symmetric field / 32.: |
Spherical waves / 33.: |
Resolution of a plane wave / 34.: |
Fall of a particle to the centre / 35.: |
Motion in a Coulomb field (spherical polar coordinates) / 36.: |
Motion in a Coulomb field (parabolic coordinates) / 37.: |
Perturbation Theory / VI.: |
Perturbations independent of time / 38.: |
The secular equation / 39.: |
Perturbations depending on time / 40.: |
Transitions under a perturbation acting for a finite time / 41.: |
Transitions under the action of a periodic perturbation / 42.: |
Transitions in the continuous spectrum / 43.: |
The uncertainty relation for energy / 44.: |
Potential energy as a perturbation / 45.: |
The Quasi-Classical Case / VII.: |
The wave function in the quasi-classical case / 46.: |
Boundary conditions in the quasi-classical case / 47.: |
Bohr and Sommerfeld's quantization rule / 48.: |
Quasi-classical motion in a centrally symmetric field / 49.: |
Penetration through a potential barrier / 50.: |
Calculation of the quasi-classical matrix elements / 51.: |
The transition probability in the quasi-classical case / 52.: |
Transitions under the action of adiabatic perturbations / 53.: |
Spin / VIII.: |
The spin operator / 54.: |
Spinors / 56.: |
The wave functions of particles with arbitrary spin / 57.: |
The operator of finite rotations / 58.: |
Partial polarization of particles / 59.: |
Time reversal and Kramers' theorem / 60.: |
Identity of Particles / IX.: |
The principle of indistinguishability of similar particles / 61.: |
Exchange interaction / 62.: |
Symmetry with respect to interchange / 63.: |
Second quantization. The case of Bose statistics / 64.: |
Second quantization. The case of Fermi statistics / 65.: |
The Atom / X.: |
Atomic energy levels / 66.: |
Electron states in the atom / 67.: |
Hydrogen-like energy levels / 68.: |
The self-consistent field / 69.: |
The Thomas-Fermi equation / 70.: |
Wave functions of the outer electrons near the nucleus / 71.: |
Fine structure of atomic levels / 72.: |
The Mendeleev periodic system / 73.: |
X-ray terms / 74.: |
Multipole moments / 75.: |
An atom in an electric field / 76.: |
A hydrogen atom in an electric field / 77.: |
The Diatomic Molecule / XI.: |
Electron terms in the diatomic molecule / 78.: |
The intersection of electron terms / 79.: |
The relation between molecular and atomic terms / 80.: |
Valency / 81.: |
Vibrational and rotational structures of singlet terms in the diatomic molecule / 82.: |
Multiplet terms. Case a / 83.: |
Multiplet terms. Case b / 84.: |
Multiplet terms. Cases c and d / 85.: |
Symmetry of molecular terms / 86.: |
Matrix elements for the diatomic molecule / 87.: |
A-doubling / 88.: |
The interaction of atoms at large distances / 89.: |
Pre-dissociation / 90.: |
The Theory of Symmetry / XII.: |
Symmetry transformations / 91.: |
Transformation groups / 92.: |
Point groups / 93.: |
Representations of groups / 94.: |
Irreducible representations of point groups / 95.: |
Irreducible representations and the classification of terms / 96.: |
Selection rules for matrix elements / 97.: |
Continuous groups / 98.: |
Two-valued representations of finite point groups / 99.: |
Polyatomic Molecules / XIII.: |
The classification of molecular vibrations / 100.: |
Vibrational energy levels / 101.: |
Stability of symmetrical configurations of the molecule / 102.: |
Quantization of the rotation of a top / 103.: |
The interaction between the vibrations and the rotation of the molecule / 104.: |
The classification of molecular terms / 105.: |
Addition of Angular Momenta / XIV.: |
3j-symbols / 106.: |
Matrix elements of tensors / 107.: |
6j-symbols / 108.: |
Matrix elements for addition of angular momenta / 109.: |
Matrix elements for axially symmetric systems / 110.: |
Motion in a Magnetic Field / XV.: |
Schrodinger's equation in a magnetic field / 111.: |
Motion in a uniform magnetic field / 112.: |
An atom in a magnetic field / 113.: |
Spin in a variable magnetic field / 114.: |
The current density in a magnetic field / 115.: |
Nuclear Structure / XVI.: |
Isotopic invariance / 116.: |
Nuclear forces / 117.: |
The shell model / 118.: |
Non-spherical nuclei / 119.: |
Isotopic shift / 120.: |
Hyperfine structure of atomic levels / 121.: |
Hyperfine structure of molecular levels / 122.: |
Elastic Collisions / XVII.: |
The general theory of scattering / 123.: |
An investigation of the general formula / 124.: |
The unitarity condition for scattering / 125.: |
Born's formula / 126.: |
The quasi-classical case / 127.: |
Analytical properties of the scattering amplitude / 128.: |
The dispersion relation / 129.: |
The scattering amplitude in the momentum representation / 130.: |
Scattering at high energies / 131.: |
The scattering of slow particles / 132.: |
Resonance scattering at low energies / 133.: |
Resonance at a quasi-discrete level / 134.: |
Rutherford's formula / 135.: |
The system of wave functions of the continuous spectrum / 136.: |
Collisions of like particles / 137.: |
Resonance scattering of charged particles / 138.: |
Elastic collisions between fast electrons and atoms / 139.: |
Scattering with spin-orbit interaction / 140.: |
Regge poles / 141.: |
Inelastic Collisions / XVIII.: |
Elastic scattering in the presence of inelastic processes / 142.: |
Inelastic scattering of slow particles / 143.: |
The scattering matrix in the presence of reactions / 144.: |
Breit and Wigner's formulae / 145.: |
Interaction in the final state in reactions / 146.: |
Behaviour of cross-sections near the reaction threshold / 147.: |
Inelastic collisions between fast electrons and atoms / 148.: |
The effective retardation / 149.: |
Inelastic collisions between heavy particles and atoms / 150.: |
Scattering of neutrons / 151.: |
Inelastic scattering at high energies / 152.: |
Mathematical Appendices |
Hermite polynomials / a.: |
The Airy function / b.: |
Legendre polynomials / c.: |
The confluent hypergeometric function / d.: |
The hypergeometric function / e.: |
The calculation of integrals containing confluent hypergeometric functions / f.: |
Index |
From the Preface to the first English edition |
Preface to the second English edition |
Preface to the third Russian edition |