Some Properties of the Resonant State in Quantum Mechanics and Its Computation
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Publication:3527569
DOI10.1143/PTP.119.187zbMath1192.81213arXiv0705.1388MaRDI QIDQ3527569
Tomio Petrosky, Hiroaki Nakamura, Keita Sasada, Naomichi Hatano
Publication date: 29 September 2008
Published in: Progress of Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0705.1388
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Characteristic dynamics near two coalescing eigenvalues incorporating continuum threshold effects ⋮ Time-reversal symmetric resolution of unity without background integrals in open quantum systems ⋮ Analysis technique for exceptional points in open quantum systems and QPT analogy for the appearance of irreversibility ⋮ The arrow of time in open quantum systems and dynamical breaking of the resonance–anti-resonance symmetry ⋮ Life-times of quantum resonances through the geometrical phase propagator approach ⋮ Efficient extraction of resonant states in systems with defects ⋮ Resonant-state expansion of the Green's function of open quantum systems ⋮ Effective non-Hermitian Hamiltonians for studying resonance statistics in open disordered systems ⋮ Nontrivial eigenvalues of the Liouvillian of an open quantum system ⋮ 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 ⋮ Geometry of Winter model ⋮ The rigged Hilbert space approach to the Gamow states
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