Unstable Systems. (2020)

• Record Type: Book
• Further Information: Note: Lawrence Horwitz, Yosef Strauss.
• Authors: Horwitz, Lawrence; Strauss, Yosef
• Contents: 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.
• Publisher Details: Cham : Springer
• Publication Date: 2020
• Copyright Date: 2020
• Extent: 1 online resource (221 pages)
• Subjects: Physics; Quantum physics; Elementary particles (Physics); Quantum field theory; Mathematical physics; Science -- Nuclear Physics; Science -- Mathematical Physics; Quantum physics (quantum mechanics & quantum field theory); Mathematical physics; Science -- Quantum Theory
• Languages: English
• ISBNs: 9783030315702
• Related ISBNs: 9783030315696
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.