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Chromodynamica [Quantum] --- Chromodynamics [Quantum ] --- Chromodynamique quantique --- Perturbation (Dynamique quantique) --- Perturbation (Quantum dynamics) --- QCD (Nuclear physics) --- Quantum chromodynamics --- Quantumchromodynamica --- Storing (Quantumdynamica) --- Perturbation (Mécanique quantique) --- Perturbation (Mécanique quantique) --- Elementary particles --- Perturbation (Quantum dynamics). --- Quantum chromodynamics.
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The book is devoted to perturbation theory for the Schrödinger operator with a periodic potential, describing motion of a particle in bulk matter. The Bloch eigenvalues of the operator are densely situated in a high energy region, so regular perturbation theory is ineffective. The mathematical difficulties have a physical nature - a complicated picture of diffraction inside the crystal. The author develops a new mathematical approach to this problem. It provides mathematical physicists with important results for this operator and a new technique that can be effective for other problems. The semiperiodic Schrödinger operator, describing a crystal with a surface, is studied. Solid-body theory specialists can find asymptotic formulae, which are necessary for calculating many physical values.
Operator theory --- Mathematical physics. --- Perturbation (Mathematics). --- Perturbation (Quantum dynamics). --- Schrödinger operator. --- Schrodinger operator. --- Perturbation (Quantum dynamics) --- Perturbation (Mathematics) --- Mathematical physics --- Schrèodinger operator --- Mathematical Theory --- Mathematics --- Physical Sciences & Mathematics --- Fysica [Mathematische ] --- Fysica [Wiskundige ] --- Mathematische fysica --- Perturbatie (Wiskunde) --- Perturbation (Dynamique quantique) --- Perturbation (Mathématiques) --- Physical mathematics --- Physics -- Mathematics --- Physics [Mathematical ] --- Physique -- Mathématiques --- Physique -- Méthodes mathématiques --- Physique mathématique --- Physique théorique --- Schrödinger [Operateur de ] --- Schrödinger operator --- Schrödingeroperator --- Storing (Quantumdynamica) --- Wiskundige fysica --- Partial differential equations. --- Partial Differential Equations. --- Theoretical, Mathematical and Computational Physics. --- Physics --- Partial differential equations
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Approximation de Hartree-Fock --- Fermi liquid theory --- Fermionen --- Fermions --- Hartree-Fock approximatie --- Hartree-Fock approximation --- Many-body problem --- Perturbation (Dynamique quantique) --- Perturbation (Quantum dynamics) --- Problem of many bodies --- Problem of n-bodies --- Probleme a n corps --- Storing (Quantumdynamica) --- n-body problem --- n-lichaamprobleem --- Many-body problem. --- Density functionals. --- Hartree-Fock approximation. --- Problème des N corps --- Fonctionnelles densité --- Perturbation (Mécanique quantique) --- Théorie des liquides de Fermi --- Méthode d'approximation Hartree-Fock --- Fermi liquid theory. --- Fermions. --- Perturbation (Quantum dynamics). --- Problème des N corps --- Fonctionnelles densité --- Perturbation (Mécanique quantique) --- Théorie des liquides de Fermi --- Méthode d'approximation Hartree-Fock --- 530.19 --- 530.19 Fundamental functions in general. Potential. Gradient. Intensity. Capacity etc. --- Fundamental functions in general. Potential. Gradient. Intensity. Capacity etc. --- Density functionals --- Perturbation theory, Quantum mechanical --- Perturbation (Mathematics) --- Quantum theory --- Mechanics, Analytic --- Hartree approximation --- Hartree-Fock-Slater approximation --- Approximation theory --- Atoms --- Energy-band theory of solids --- Self-consistent field theory --- Fermi-Dirac particles --- Particles (Nuclear physics) --- Quantum statistics --- Interacting boson-fermion models --- Leptons (Nuclear physics) --- Landau Fermi liquid theory --- Landau theory of Fermi liquids --- Landau's theory of Fermi liquids --- Fermi liquids --- Density functional methods --- Density functional theory --- Functional methods, Density --- Functionals, Density --- Functional analysis --- Fundamental functions in general. Potential. Gradient. Intensity. Capacity etc --- Quantum mechanics. Quantumfield theory
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