Just as a "demographic explosion" gives much trouble to sociologists and economists, the problem of an "information explosion" is in the face of scientists and teachers in all its magnitude.The difference between both problems is in the fact that the birth-rate of the population call be limited nuch more easily than the birth-rate of articles.

...

Preface

Chapter1. Discrets Spectrm

 1. Introduction

 2. States with small binding energy

 3. Point interaction and its correspondence to boundary conditions

 4. Particle in field of several point potentials

 5. The Coulomb potential

 6. Three-dimensional oscillator

 7. Virial theorem and its generalizations

 8. Identical particles and statistical physics

Chapter2. Continuous Spectrum

 1. Introduction.Wave functions of continuous spectrum withl＝0

 2. Motion with orbital angular momentum l≠0 Motion in the Coulomb field

 3. Wave functions of continuous spectrum.Scattering cross-section

 4. Optical theorem and its generalization

Chapter 3. Analytic Properties of Wave Function

 1. Analytic properties of S-matrix

 2. "Redundant" poles

 3. Properties of residues of St(k)

 4. Dispersion relations

Chapter 4. Inverse Scattering Problem

 1. The Marchenko equation 

 2. Reflectionless potentials

 3. Isospectral deformations of quantum oscillator

 4. Isospectral deformations of the Schrodinger equation and invariants of the Korteweg-de Vries equation

Chapter 5. The Green Functions and Perturbation Theory

 1. Introduction. The Green function of the radial SchrSdinger equation

 2. Regular method of obtaining of the Green functions

 3. Some properties of the Green functions

 4. The Green function for several free particles

 5. Perturbation theory. Coordinate representation

 6. Momentum representation

 7. The Green function in momentum representation. Operator algebra

 8. Scattering operator

 9. Formulae for point potentials

 10. Perturbation theory for continious spectrum

 11. Convergence of series of perturbation theory

 12. The time-dependent Green function

Chapter 6. Quasi-classical Approximation

 1. Wave function in quasi-classical approximation

 2. Quasi-classical approximation for the degenerate Fermi gas

 3. Multi-dimensional case

 4. Non-stationary problems

Chapter 7. Exact Solutions of Non-stationary Problems for Oscillator

 1. Introduction

 2. Wave function of oscillator with variable frequency under action of external force

 3. Quantum oscillator under action of external force Transition probabilities

 4. Parametric excitation of quantum oscillator

 5. Oscillator with variable frequency under action of external force Transition probabilities

 6. Quantum oscillator and adiabatic invariants

 7. Quasi-energy of system under action of periodic force

 8. The Heisenberg representation and canonical transformations

Chapter 8. Quasi-stationary States

 1. Introduction. The Gamov theory

 2. Wave functions

 3. Example of quasi-stationary state

 4. Decay of quasi-stationary state

 5. Radioactive decay law

 6. Generalization of normalization. Perturbation theory for quasi-stationary states

 7. Asymptotic behaviour of wave function at and

 8. Creation of unstable particle

 9. Transition from quasi-stationary to stationary states

 10. Collision time

 11. Types of long-lived states

Appendix A. Specific cases of the Schrodinger equation spectrum

Appendix B. Quasi-classical properties of highly excited levels in the Coulomb field 

Bibliography 

Subject Index