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Publication:3485343
zbMath0705.35115MaRDI QIDQ3485343
Gheorghe Nenciu, Radu Purice, Dan Radu Grigore
Publication date: 1989
Full work available at URL: http://www.numdam.org/item?id=AIHPA_1989__51_3_231_0
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Scattering theory for PDEs (35P25) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)
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Cites Work
- Existence of the spontaneous pair creation in the external field approximation of Q.E.D
- Spectral properties of Schrödinger operators and time-decay of the wave functions
- Eigenfunction expansions for Schrödinger and Dirac operators with singular potentials
- Scattering theory for elliptic operators of arbitrary order
- Perturbation of pseudoresolvents and analyticity in \(1/c\) in relativistic quantum mechanics
- Scattering theory for differential operators. I: Operator theory
- Scattering theory for differential operators. II: Self-adjoint elliptic operators
- Foldy-Wouthuysen Transformation. Exact Solution with Generalization to the Two-Particle Problem
- Normal forms of an abstract Dirac operator and applications to scattering theory
- Relativistic Potential Scattering
- On the Dirac Theory of Spin 1/2 Particles and Its Non-Relativistic Limit
- Some Generalizations of the Foldy-Wouthuysen Transformation
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- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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