Unstable Systems
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- Artikel-Nr.: 10508671
Beschreibung
Part I: Quantum Systems and Their Evolution.- Chapter 1: Gamow approach to the unstable quantum system. Wigner-Weisskopf formulation. Analyticity and the propagator. Approximate exponential decay. Rotation of Spectrum to define states. Difficulties in the case of two or more final states.- Chapter 2: Rigged Hilbert spaces (Gel'fand Triples). Work of Bohm and Gadella. Work of Sigal and Horwitz, Baumgartel. Advantages and problems of the method.- Chapter 3: Ideas of Nagy and Foias, invariant subspaces. Lax-Phillips Theory (exact semigroup). Generalization to quantum theory (unbounded spectrum). Stark effect.- Relativistic Lee-Friedrichs model.- Generalization to positive spectrum.- Relation to Brownian motion, wave function collapse.- Resonances of particles and fields with spin. Resonances of nonabelian gauge fields.- Resonances of the matter fields giving rise to the gauge fields. Resonence of the two dimensional lattice of graphene. Part II: Classical Systems.- Chapter 4: General dynamical systems and instability. Hamiltonian dynamical systems and instability. Geometrical ermbedding of Hamiltonian dynamical systems. Criterion for instability and chaos, geodesic deviation.
Part III: Quantization.- Chapter 5: Second Quantization of geometric deviation. Dynamical instability. Dilation along a geodesic.- Part IV: Applications.- Chapter 6: Phonons. Resonances in semiconductors. Superconductivity (Cooper pairs). Properties of grapheme. Thermodynamic properties of chaotic systems. Gravitational waves.
Part III: Quantization.- Chapter 5: Second Quantization of geometric deviation. Dynamical instability. Dilation along a geodesic.- Part IV: Applications.- Chapter 6: Phonons. Resonances in semiconductors. Superconductivity (Cooper pairs). Properties of grapheme. Thermodynamic properties of chaotic systems. Gravitational waves.
Eigenschaften
Breite: | 155 |
Gewicht: | 361 g |
Höhe: | 12 |
Länge: | 235 |
Seiten: | 221 |
Sprachen: | Englisch |
Autor: | Lawrence Horwitz, Yosef Strauss |
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