Quasiparticle Theory of Defects in Solids

The following sections are included:

• PREFACE

• CONTENTS

The concept of quasiparticles appeared more than 50 years ago as a result of quantum mechanical ideas applied to condensed matter physics. The most general features characterizing quantum mechanical description are expressed in the best way in the quasiparticle approach. In fact, quantum mechanics has introduced two essentially new concepts — quantum mechanical state and energy spectrum — both depending on some quantum numbers which are related to corresponding conserved quantities. Just like in classical mechanics all conserved quantities are not of one and the same importance. The most important conserved quantities are related to the symmetry properties of time and space. So, in classical mechanics, momentum is conserved due to the homogeneity of space, whereas energy is conserved due to the homogeneity of time, etc. Mechanics equations describe in this sense nothing else but the evolution of these most important quantities in space and time under external forces…

The following sections are included:

• Ideal Quantum Crystals. Solid Helium

• Defects in Classical and Quantum Crystals

• Impuriton Spectrum. Perturbation Theory

• Spectrum of Vacancions

• Two-dimensional and One-Dimensional Defectons in Three-Dimensional Crystals

The following sections are included:

• Defecton Statistics in a 3-Dimensional Crystal

• Kinematic Interaction

• One-Dimensional Case

• Thermodynamic Properties. Heat Capacity and High Temperature Anomaly in ³He

The following sections are included:

• Discovery of Quantum Diffusion

• Delocalization of a Defect

• Defecton-Phonon Scattering

• Temperature Dependence of the Diffusion Coefficient

• Defecton-Defecton Scattering

• Low-Temperature Diffusion

• Comparison with Experiment. Determination of the Impuriton Band Width from Experimental Data on Diffusion

• Phonon-Stimulated Diffusion

The following sections are included:

• Ground State. Vacancion-Impuriton Attraction

• Vacancion-Impuriton Repulsion

• Local Phase Stratification Effect

• Vacancion Ferromagnet

The following sections are included:

• Local Lattice Approach

• Notation

• Nonlinear Theory of Elasticity

• Deformation Tensor

• Quasiparticle Mechanics

• Kinetic Equation

• Conservation Laws and Dynamics Equations for Charged Quasiparticles

• Current Density in α Deformed Metal

• Quasimomentum “Conservation Law”

• Defecton Diffusion in Rotating Quantum Crystals

• Linearized Kinetic Equation

• Second Sound

• Two-Fluid Hydrodynamics of a Quasiparticle Gas

The following sections are included:

• Model and Basic Equations

• Bell Solitons

• Kink-Like Excitations

• Isotopic Effect. Higher Degrees of Nonlinearities

• Crowdion Configuration

• The Role of the Lattice

• Crowdion as a Quasiparticle. Crowdion Wave

• Crowdion-Phonon Interaction

• Calculation of Soliton Characteristics by Means of the One-Particle Potential only

• Soliton Waves in Peierls Systems. Kinks in Polyacetylene

• Pinning Problem

The following sections are included:

• CONCLUSION

• APPENDIX I

• APPENDIX II

• REFERENCES

• SUBJECT INDEX