Completeness of wave operators in relativistic quantum mechanics

DOI10.1007/BF00400982zbMath0571.47010MaRDI QIDQ1061998

Avy Soffer

Publication date: 1984

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

zbMATH Keywords

Lorentz groupcompleteness problem of wave operators of Hamiltonians which are not bounded below and with nonvanishing potential at infinityEnss' methodgenerators of the symmetries of the HamiltonianMourre's approach

Mathematics Subject Classification ID

Scattering theory of linear operators (47A40)

Related Items (3)

Slowly changing potential problems in Quantum Mechanics: Adiabatic theorems, ergodic theorems, and scattering ⋮ The quantum relativistic two-body bound state. I. The spectrum ⋮ Classical mechanics of special relativity in a Riemannian space-time

Cites Work

• Some quantum operators with discrete spectrum but classically continuous spectrum
• Link between the geometrical and the spectral transformation approaches in scattering theory
• Asymptotic completeness for quantum mechanical potential scattering. I: Short range potentials

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