Complex absorbing potential method for systems

Tom 469 / 2010

Jimmy Kungsman, Michael Melgaard Dissertationes Mathematicae 469 (2010), 1-58 MSC: Primary 35Q40, 47A55; Secondary 35J47, 47G30, 47A40, 35A21, 35A18, 81Q20. DOI: 10.4064/dm469-0-1

Streszczenie

The Complex Absorbing Potential (CAP) method is widely used to compute resonances in Quantum Chemistry, both for scalar valued and matrix valued Hamiltonians. In the semiclassical limit $\hbar \to 0$ we consider resonances near the real axis and we establish the CAP method rigorously in an abstract matrix valued setting by proving that resonances are perturbed eigenvalues of the nonselfadjoint CAP Hamiltonian, and vice versa. The proof is based on pseudodifferential operator theory and microlocal analysis.

Autorzy

  • Jimmy KungsmanDepartment of Mathematics
    Uppsala University
    SE-751 06 Uppsala, Sweden
    e-mail
  • Michael MelgaardSchool of Mathematical Sciences
    Dublin Institute of Technology
    Dublin 8, Republic of Ireland
    and
    Department of Mathematics
    Uppsala University
    SE-751 06 Uppsala, Sweden
    e-mail
    e-mail

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