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Complex absorbing potential method for systems
journal contribution
posted on 2023-06-08, 15:50 authored by Jimmy Kungsman, Michael MelgaardMichael MelgaardThe 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 h ? 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.
History
Publication status
- Published
Journal
Dissertationes MathematicaeISSN
0012-3862Publisher
Polish Academy of Sciences, Institute of MathematicsExternal DOI
Volume
469Page range
1-58Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes