On a model for quantum friction. II: Fermi's golden rule and dynamics at positive temperature
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Publication:1918077
DOI10.1007/BF02099252zbMath0852.47038MaRDI QIDQ1918077
Vojkan Jakšić, Claude-Alain Pillet
Publication date: 18 July 1996
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
spectral propertiesFermi's golden rulequantum frictiondeformation techniquestime-dependent perturbation theorytotal Hamiltoniandynamics at positive temperaturedynamics of an \(N\)-level system linearly coupled to a field of massless bosons at positive temperaturelifetime of resonances to second-order
Applications of operator theory in the physical sciences (47N50) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Convex sets in topological linear spaces; Choquet theory (46A55)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Degenerate asymptotic perturbation theory
- Markovian master equations
- Markovian master equations. II
- Spectral and scattering theory of Schrödinger operators related to the Stark effect
- Spectral properties of many-body Schrödinger operators with dilatation- analytic interactions
- A class of analytic perturbations for one-body Schrödinger Hamiltonians
- Resonances in n-body quantum systems with dilatation analytic potentials and the foundations of time-dependent perturbation theory
- On a model of a harmonic oscillator coupled to a quantized, massless, scalar field. I
- On a model of a harmonic oscillator coupled to a quantized massless, scalar field. II
- RADIATIVE DECAY: NONPERTURBATIVE APPROACHES
- EXPONENTIAL APPROACH TO THE ADIABATIC LIMIT AND THE LANDAU-ZENER FORMULA
- Rigorous quantum field theory models
- The Electromagnetic Shift of Energy Levels
- Exponential decay in the Stark effect