Cargando…
Spectral analysis of relativistic operators /
Over the last decade, there has been considerable interest and progress in determining the spectral properties of various operators that take relativistic effects into account, with important implications for mathematics and physics. Difficulties are encountered in many-particle problems due to the...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
London :
Imperial College Press,
2011.
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 1. Preliminaries. 1.1. Linear operators. 1.2. Quadratic forms. 1.3. Spectra of self-adjoint operators. 1.4. Compact operators. 1.5. Fourier and Mellin transforms. 1.6. Sobolev spaces. 1.7. Inequalities. 1.8. CLR and related inequalities. 1.9. Lieb-Thirring inequalities
- 2. Operators. 2.1. The Dirac operator. 2.2. The quasi-relativistic operator. 2.3. The Brown-Ravenhall operator. 2.4. A unique continuation property
- 3. Spectra. 3.1. The Dirac operator. 3.2. The quasi-relativistic operator. 3.3. The Brown-Ravenhall operator. 3.4. The absence of embedded eigenvalues
- 4. Miscellany. 4.1. Stability of matter. 4.2. Eigenvalues of the operators D[symbol] and D[symbol]. 4.3. Zero modes of D[symbol] and P[symbol] in R[symbol], n[symbol]2. 4.4. Decay rates of weak solutions of [symbol]=0. 4.5. Sobolev and CLR inequalities for Pauli operators. 4.6. One-electron relativistic molecules. 4.7. Stability of matter in magnetic fields.