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Many-body Stark resonances by the complex absorbing potential method

  • Kentaro Kameoka

摘要

The resonances of many-body Stark Hamiltonians are characterized by the complex absorbing potential method. Namely, the resonances are shown to be the limit points of complex discrete eigenvalues of many-body Stark Hamiltonians with quadratic complex potential when the coefficient of the complex potential tends to zero. The proof is based on the complex distortion outside a cone. Pseudodifferential operators are used in the proof of the main estimate.