THE previous edition of this volume was the last book on which I worked together with my teacher L.D.Landau.The revision and expansion that we then carried out was very considerable, and affected every chapter.

For the third edition, naturally, much less revision was needed.Nevertheless, a fair amount of new material has been added, including some more problems, and relating both to recent research and to earlier results that have now become of greater significance.

From the Preface to the first English edition

Preface to the second English edition

Preface to the third Russian edition

Editor's Pretace to the Iburth Russian edition

Notation

Ⅰ.THE BASIC CONCEPTS OF QUANTUM MECHANICS

 1.The uncertainty principlc

　2.The principle of superposition

　3.Operators

　4.Addition and multiplication of operators

　5.The continuous spectrum

　6.The passage to the limiting case of classical mechanica

　7.The wave function and measurements

Ⅱ.ENERGY AND MOMENTUM

　8.The Hamiltonian operator

　9.The differentiation of operators with respect to time

　10.Stationary states

　11.Matrices

　12.Transformation of matrices

　13.The Heisenberg representation of operators

　14.The density matrix

　15.Momentum

　16.Uncertainty relations

Ⅲ.SCHRODINGER'S EQUATION

　17 Schrodinger's equation

　18.The fundamental properties of Schrodinger's equation

　19.The current density

　20.The variational principle

　21.General properties of motion in one dimension

　22.The potential well

　23.The linear oscillator

　24.Motion in a homogeneous field

　25.The transmission coefficient

Ⅳ.ANGULAR MOMENTUM

 26.Angular momentum

 27.Eigenvalues of the angular momcntum

 28.Eigenfunctions of the angular momentum

　29.Matrix elements of vectors

　30.Parity of a state

　31.Addition of angular momenta

Ⅴ.MOTION IN A CENTRALLY SYMMETRIC FIELD

　32.Motion in a centrally symmetric field

　33.Spherical waves

　34.Resolution of a plane wave

　35.Fall of a particle to the centre

　36.Motion in a Coulomb field (spherical polar coordinates)

　37.Motion in a Coulomb field (parabolic coordinates)

　VI.PERTURBATION THEORY

　38.Perturbations indcpendent of time

　39.The secular equation

　40.Perturbations depending on time

　41.Transitions under a perturbation acting for a finite time

　42.Transitions under the action of a periodic perturbation

　43.Transitions in the continuous spectrum

　44.The uncertainty relation for energy

　45.Potential energy as a perturbation

Ⅶ.THE QUASI-CLASSICAL CASE

　46.The wave function in the quasi-classical case

　47.Boundary conditions in the quasi-classical case

　48.Bohr and Sommerfeld's quantization rule

　49.Quasi-classical motion in a centrally symmetric field

　50.Penetration through a potential barricr

　51.Calculation of the quasi-classical matrix elements

　52.The transition probability in the quasi-classical case

　53.Transitions under the action of adiabatic perturbations

Ⅷ.SPIN

　54.Spin

　55.The spin operator

　56.Spinors

　57.The wave functions of particles with arbitrary spin

　58.The operator of finite rotations

　59.Partial polarization of particles

　60.Time reversal and Kramers'theorem

Ⅸ.IDENTITY QF PARTICLES

　61.The principle of indistinguishability of similar particles

　62.Exchangc interaction

　……

Ⅹ.THE ATOM

Ⅺ.THE DIATOMIC MOLECULE

XII.THE THEORY OF SYMMETRY

XIII.POLYATOMIC MOLECULES

XV.MOTION IN A MAGNETIC FIELD

XVI.NUCLEAR STRUCTURE

XVII.ELASTIC COLLISIONS

XVIII.INELASTIC COLLISIONS

MATHEMATICAL APPENDICES

Index