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The complex scaling method for Dirac resonances. (English) Zbl 0659.47017

The complex scaling theory is successfully used in atomic and molecular physics. This method is generalized to the Dirac equation. It is shown that Dirac resonances are associated with nonreal eigenvalues of the scaled Dirac Hamiltonian, which describes a free particle with spin 1/2 and rest mass m in relativistic quantum mechanics. The perturbation theory for Dirac resonances is reduced to the standard Kato-Rellich theory.
Reviewer: S.D.Karokozov

MSC:

47A55 Perturbation theory of linear operators
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
81Q15 Perturbation theories for operators and differential equations in quantum theory
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