Quantum mechanics of damped systems
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Publication:4833086
DOI10.1063/1.1599074zbMath1062.81142arXivmath-ph/0301024OpenAlexW2167328756WikidataQ115597519 ScholiaQ115597519MaRDI QIDQ4833086
Publication date: 14 December 2004
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0301024
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) (2)-body potential quantum scattering theory (81U05)
Related Items (12)
Quantum damped oscillator. I: Dissipation and resonances ⋮ Swanson Hamiltonian: non-PT-symmetry phase ⋮ Quantum mechanics of damped systems. II. Damping and parabolic potential barrier ⋮ Phase spaces, parity operators, and the Born-Jordan distribution ⋮ Duality covariant quantum field theory on noncommutative Minkowski space ⋮ Spectral properties of the squeeze operator ⋮ Bounds on integrals of the Wigner function: The hyperbolic case ⋮ Koopman's approach to dissipation ⋮ Divergences in quantum field theory on the noncommutative two-dimensional Minkowski space with Grosse-Wulkenhaar potential ⋮ The damped harmonic oscillator in deformation quantization ⋮ Physics of the inverted harmonic oscillator: From the lowest Landau level to event horizons ⋮ Hidden conformal symmetry on the black hole photon sphere
Cites Work
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- Dirac kets, Gamov vectors and Gel'fand triplets. The rigged Hilbert space formulation of quantum mechanics. Lectures in mathematical physics at the University of Texas at Austin, USA. Ed. by A. Bohm and J. D. Dollard
- Irreversibility and causality. Semigroups and rigged Hilbert spaces. A selection of articles presented at the 21st international colloquium on group theoretical methods in physics (ICGTMP) at Goslar, Germany, July 16--21, 1996. Dedicated to Günther Ludwig on the occasion of his 80th birthday
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