Time-reversal symmetric resolution of unity without background integrals in open quantum systems

DOI10.1063/1.4904200zbMath1319.81057arXiv1405.6683OpenAlexW3104084064MaRDI QIDQ2939212

Naomichi Hatano, Gonzalo E. Ordóñez

Publication date: 19 January 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.6683

zbMATH Keywords

Green's functionopen quantum systemcomplete settime-reversal symmetry

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Open systems, reduced dynamics, master equations, decoherence (81S22) Green's functions for elliptic equations (35J08)

Related Items

Characteristic dynamics near two coalescing eigenvalues incorporating continuum threshold effects ⋮ Swanson Hamiltonian: non-PT-symmetry phase ⋮ Convergence and completeness for square-well Stark resonant state expansions ⋮ The arrow of time in open quantum systems and dynamical breaking of the resonance–anti-resonance symmetry ⋮ Coupled mode theory for acoustic resonators ⋮ Exact description of coalescing eigenstates in open quantum systems in terms of microscopic Hamiltonian dynamics ⋮ Irreversibility and the breaking of resonance-antiresonance symmetry

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nontrivial eigenvalues of the Liouvillian of an open quantum system
• Recent work on the arrow of radiation
• Unified theory of nuclear reactions
• Poincaré resonances and the extension of classical dynamics.
• Dynamics of quantum systems embedded in a continuum
• A unified theory of nuclear reactions. II
• The Quadratic Eigenvalue Problem
• Equivalence of the effective Hamiltonian approach and the Siegert boundary condition for resonant states
• Amplification of non-Markovian decay due to bound state absorption into continuum
• Non-Hermitian Quantum Mechanics
• Resonant States of Open Quantum Systems
• Analytic Properties of Radial Wave Functions
• A Theory of Clothed Unstable Particles
• The structure of a non-relativistic S -matrix
• Some Properties of the Resonant State in Quantum Mechanics and Its Computation
• A non-Hermitian Hamilton operator and the physics of open quantum systems
• Statistics of resonance poles, phase shifts and time delays in quantum chaotic scattering: Random matrix approach for systems with broken time-reversal invariance
• S-matrix theory for transmission through billiards in tight-binding approach
• The arrow of time in open quantum systems and dynamical breaking of the resonance–anti-resonance symmetry
• Resonance expansions in quantum mechanics
• S-matrix, resonances, and wave functions for transport through billiards with leads
• Resonances in a one-dimensional disordered chain