Eigenfunction expansions associated with the Dirac equation
DOI10.1007/s40509-020-00230-wMaRDI QIDQ6590101
Publication date: 21 August 2024
Published in: Quantum Studies: Mathematics and Foundations (Search for Journal in Brave)
Green's functionDirac operatordiscrete spectrumabsolutely continuous spectrumsingular spectrumgeneralized eigenfunctionrelativistic Lippmann-Schwinger equation in integral form
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Scattering theory, inverse scattering involving ordinary differential operators (34L25)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On spectral stability of the nonlinear Dirac equation
- Absolutely continuous spectrum of Dirac operators for long-range potentials
- On the point spectrum of Dirac operators
- Eigenfunction expansions and scattering theory for Dirac operators
- Stationary and dynamical scattering problems and ergodic-type theorems
- The generalized scattering problems: ergodic type theorems
- Essential self-adjointness and invariance of the essential spectrum for Dirac operators
- Eigenfunction expansions associated with the Schrödinger operators and their applications to scattering theory
- On the principle of limiting absorption for the Dirac operator
- Introduction to the theory of Fourier integrals.
- Relativistic Lippmann–Schwinger equation as an integral equation
- Integral equations on a half-line with kernel depending upon the difference of the arguments
This page was built for publication: Eigenfunction expansions associated with the Dirac equation