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Bibliografická citace

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0 (hodnocen0 x )
BK
First edition
Prague : Charles University, Karolinum Press, 2017
iv, 201 stran : ilustrace (některé barevné) ; 25 cm

objednat
ISBN 978-80-246-2321-4 (brožováno)
Na titulní straně a v tiráži je chybné vročení (datum vydání dotisku 2017), správně je: 2013
Popsáno podle dotisku z roku 2017
001473013
Contents // Preface 1 // Rough guide to notation 3 // INTRODUCTION 5 // 1. FORMALISM 2. SIMPLE SYSTEMS 10 // 1.1 Space of quantum states... 10 // Hilbert space. Rigged Hilbert space...10 // Dirac notation...12 // Sum & product of spaces... 14 // 2.1 Examples of quantum Hilbert spaces...15 // Single structureless particle with spin 0 or  ...15 // 2 distinguishable/indistinguishable particles. Bosons & fermions ... 17 Ensembles of A > 2 particles ...19 // 1.2 Representation of observables...21 // Observables as Hermitian operators. Basic properties...21 // Eigenvalues & eigenvectors in finite & infinite dimension...23 // Discrete & continuous spectrum. Spectral decomposition...25 // 2.2 Examples of quantum operators...27 // Spin-1 operators...27 // Coordinate & momentum ...29 // Hamiltonian of free particle ? part icle in potential...30 // Orbital angular momentum. Isotropic Hamiltonians...33 // Hamiltonian of a particle in electromagnetic field ...37 // 1.3 Compatible and incompatible observables...39 // Compat ible observables. Complete set ...39 // Incompatible observables. Uncertainty relation...41 // Analogy with Poisson brackets...42 // Equivalent representations...43 // 2.3 Examples of commuting ? noncommuting operators...44 // Coordinate, momentum & associated representations...44 // Angular momentum components...47 // Complete sets of commuting operators for structureless particle ... 49 // 1.4 Representation of physical transformations...50 // Properties of unitary operators
...50 // Canonical ? symmetry transformations...52 // Basics of group theory...54 // 2.4 Fundamental spatio-temporal symmetries...56 // Space translation...57 // Space rotation... // Space inversion...gl // Time translation & reversal. Galilean transformations...62 // Symmetry & degeneracy...64 // 1.5 Unitary evolution of quantum systems...65 // Nonstationary Schrödinger equation. Flow. Continuity equation. ... 65 // Conservation laws ? symmetries...67 // Energy x time uncertainty. (Non)exponential decay...68 // Hamiltonians depending on time. Dyson scries...71 // Schrödinger, Heisenberg ? Dirac description...73 // Green operator. Single-particle propagator...74 // 2.5 Examples of quantum evolution...76 // Two-level system...76 // Free particle... // Coherent states in harmonic oscillator... 79 // Spin in rotating magnetic field...81 // 1.6 Quantum measurement...83 // State vector reduction ? consequences...83 // EPR situation. Interpretation problems...85 // 2.6 Implications ? applications of quantum measurement...89 // Paradoxes of quantum measurement...89 // Applications of quantum measurement...91 // Hidden variables. Bell inequalities. Nonlocality ...92 // 1.7 Quantum statistical physics...94 // Pure and mixed states. Density operator...95 // Entropy. Canonical ensemble ...96 // Wigner distribution function...gg // Density operator for open systems...99 // Evolution of density operator: closed ? open systems...101 // 2.7 Examples of statistical description ...104 // Harmonic
oscillator at nonzero temperature...104 // Coherent superposition vs. statistical mixture...105 // Density operator and decohercnce for a two-state system...106 // 3. QUANTUM-CLASSICAL CORRESPONDENCE 108 // 3.1 Classical limit of quantum mechanics...108 // The limit ? -> 0 ?8 // Ehrenfest theorem. Role of dccohcrence...109 // iii // 3.2 WKB approximation...112 // Classical Hamilton-Jacobi theory...112 // WKB equations ? interpretation...114 // Quasiclassical approximation...115 // 3.3 Feynman integral...118 // Formulation of quantum mechanics in terms of trajectories..118 // Application to the Aharonov-Bohm effect...119 // Application to the density of states...120 // 4. ANGULAR MOMENTUM 123 // 4.1 General features of angular momentum...123 // Eigenvalues and ladder operators...123 // Addition of two angular momenta...125 // Addition of three angular momenta...128 // 4.2 Irreducible tensor operators...129 // Euler angles. Wigner functions. Rotation group irreps...129 // Spherical tensors. Wigner-Eckart theorem ...130 // 5. APPROXIMATION TECHNIQUES 133 // 5.1 Variational method...133 // Dynamical ? stationary variational principle. Ritz method...133 // 5.2 Stationary perturbation method...136 // General setup ? equations...136 // Nondegenerate case...138 // Degenerate case...139 // Application in atomic physics...141 // Application to level dynamics...145 // Driven systems. Adiabatic approximation ...147 // 5.3 Nonstationary perturbation method...149 // General formalism ...149
// Step perturbation...152 // Exponential ? periodic perturbations...154 // Application to stimulated electromagnetic transitions...155 // 6. SCATTERING THEORY 157 // 6.1 Elementary description of elastic scattering...158 // Scattering by fixed potential. Cross section...158 // Two-body problem. Center-of-mass system...159 // Effect of particle indistinguishability in cross section...160 // 6.2 Perturbative approach the scattering problem...161 // IV // Lippmann-Schwinger equation...161 // Born series for scattering amplitude...164 // 6.3 Method of partial waves...166 // Expression of elastic scattering in terms of spherical waves..166 // Inclusion of inelastic scattering ...172 // Low-energy & resonance scattering...174 // 7. MANY-BODY SYSTEMS 175 // 7.1 Formalism of particle creation/annihilation operators...176 // Hilbert space of bosons & fermions...176 // Bosonic & fermionic creation/annihilation operators...177 // Operators in bosonic & fermionic A-particle spaces...181 // Quantization of elect romagnetic field...186 // 7.2 Many-body techniques...189 // Fermionic mean field & Hartrcc-Fock method ...189 // Bosonic condensates & Hart ree-Bose method...192 // Pairing & BCS method...193 // Quantum gases...198 // // // / // \\ ***•. ? // // // \\ // HEALTH flUTHORITX WARNij 1 // THINKING ABOUT’ QUANTUM ???51?5
(OCoLC)862712641
cnb002484419

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