Following the pioneering work of Carl. M. Bender et al, (1998), there has been an increasing interest in theoretical physics in so-called PT-symmetric Schr?¶dinger operators. In the physical literature, the existence of Schr?¶dinger operators with PT-symmetric complex potentials having real spectrum
On Schrödinger operators with multipolar inverse-square potentials
✍ Scribed by Felli V., Marchini E.M., Terracini S.
- Year
- 2000
- Tongue
- English
- Leaves
- 44
- Category
- Library
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
<p><span>This book gives a complete spectral analysis of the non-self-adjoint Schrödinger operator with a periodic complex-valued potential. Building from the investigation of the spectrum and spectral singularities and construction of the spectral expansion for the non-self-adjoint Schrödinger oper
<p>The book is devoted to perturbation theory for the Schrödinger operator with a periodic potential, describing motion of a particle in bulk matter. The Bloch eigenvalues of the operator are densely situated in a high energy region, so regular perturbation theory is ineffective. The mathematical di