The complex scaling method for Dirac resonances
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Publication:1112307
DOI10.1007/BF00398170zbMath0659.47017MaRDI QIDQ1112307
Publication date: 1988
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Dirac equationcomplex scaling theoryfree particle with spin 1/2 and rest mass m in relativistic quantum mechanicsperturbation theory for Dirac resonancesscaled Dirac Hamiltonian
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Perturbation theory of linear operators (47A55) Perturbation theories for operators and differential equations in quantum theory (81Q15)
Related Items (7)
Complex Absorbing Potential Method for the Perturbed Dirac Operator ⋮ A relativistic extension of the complex scaling method using oscillator basis functions ⋮ Pushing the limits of the periodic table -- a review on atomic relativistic electronic structure theory and calculations for the superheavy elements ⋮ Geminals in Dirac-Coulomb Hamiltonian eigenvalue problem ⋮ Eigenvalue estimates for non-selfadjoint Dirac operators on the real line ⋮ RESONANCES AND SPECTRAL SHIFT FUNCTION FOR THE SEMI-CLASSICAL DIRAC OPERATOR ⋮ Spectral theory of Dirac operators with potentials diverging at infinity
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- A class of analytic perturbations for one-body Schrödinger Hamiltonians
- Quadratic form techniques and the Balslev-Combes theorem
- Resonances in n-body quantum systems with dilatation analytic potentials and the foundations of time-dependent perturbation theory
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