●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
I.THE BASIC CONCEPTS OF QUANTUM MECHANICS
§1.The uncertainty principle
§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 mechanics
§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.Schr?dinger's equation
§18.The fundamental properties of Schr?dinger'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 momentum
§28.Eigenfunctions of the angular momentum
§29.Matrix ele ments of vectors
§30.Parity of a state
§31.Addition of angular momenta
V.МотION IN А CENTRALLY SYММЕTRIС РЕLD
§32.Motion in a centrally sym metric 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 feld (parabolic coordinates)
VI.PERTURBATION THEORY
§38.Perturbations independent 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 barrier
§51.Calculation of the quasi-classical matrix elemente
§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 OF PARTICLES
§61.The principle of indistinguishability of similar particles
§62.Exchange interaction
§63.Symmetry with respect to interchange
§64.Second quantization.The case of Bose statistics
§65.Second quantization.T he case of Fermi statistics
X.THE ATOM
§66.Atomic energy levels
§67.Electron states in the atom
§68.Hydrogen-like energy leyels
§69.The self-consistent feld
§70.The Thomas-Fermi equation
§71.Wave functions of the outer electrons near the nucleus
§72.Fine structure of atomic levels
§73.The Mendeleev periodic system
§74.X-ray terms
§75. ltipole moments
§76.An ato m in an electric field
§77.A hydrogen atom in an electric field
XI.ТНЕ DATоMIC MOLECULE
§78.Electron terms in the diatomic molecule
§79.The intersection of electron terms
§80.The relation between molecular and atomic terms
§81.Valency
§82.Vibrational and rotational structures of singlet terma in the diatomic molecule
§83. ltiplet terms.Case a
§84. ltiplet terms.Case b
§85. ltiplet terms.Cases c and d
……

本書講述非相對論量子力學，共計18章和1個數學附錄，內容包括量子力學的基本概念和原理，近似方法，對稱性和角動量理論，原子分子和原子核以及散射理論。內容豐富全面，帶有朗道學派的明顯特點，在理論物理教學中起著重要的作用。本書可作為理論物理專業的研究生和高年級本科生教學參考書，也可供科研人員和教師參考。

(俄羅斯)L.D.朗道,(俄羅斯)E.M.栗弗席茲 著