Mathematical study of the non-relativistic limit in quantum mechanics
Thesis/Dissertation
·
OSTI ID:6085033
Many articles on the non-relativistic limit in quantum mechanics have been concerned with the convergence of the Dirac equation itself to the Schrodinger (Pauli) equation as c, the speed of light, tends to infinity. In this dissertation the convergence of the solution of the Dirac equation is rigorously analyzed in terms of semi-groups and spectral projections. An abstract Dirac equation with relatively bounded potentials is presented and the convergence of its solution is determined with the aid of a generalization of the Trotter-Kato theorem. Similar results are determined for the convergence of the solution of the Klein-Gordon equation and for an abstract version of this equation.
- OSTI ID:
- 6085033
- Country of Publication:
- United States
- Language:
- English
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