Complex absorbing potential method for systems

Jimmy Kungsman; Michael Melgaard

  • 2010

Abstract

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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 ℏ → 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.

How to cite

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Jimmy Kungsman, and Michael Melgaard. Complex absorbing potential method for systems. 2010. <http://eudml.org/doc/286034>.

@book{JimmyKungsman2010,
abstract = {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 ℏ → 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.},
author = {Jimmy Kungsman, Michael Melgaard},
keywords = {matrix valued pseudodifferential operators; nonselfadjoint operators; eigenvalues; perturbations; scattering; propagation of singularities},
language = {eng},
title = {Complex absorbing potential method for systems},
url = {http://eudml.org/doc/286034},
year = {2010},
}

TY - BOOK
AU - Jimmy Kungsman
AU - Michael Melgaard
TI - Complex absorbing potential method for systems
PY - 2010
AB - 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 ℏ → 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.
LA - eng
KW - matrix valued pseudodifferential operators; nonselfadjoint operators; eigenvalues; perturbations; scattering; propagation of singularities
UR - http://eudml.org/doc/286034
ER -

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