On the convergence of quantum resonant-state expansion
Abstract
Completeness of the system of Stark resonant states is investigated for a one-dimensional quantum particle with the Dirac-delta potential exposed to an external homogeneous field. It is shown that the resonant series representation of a given wavefunction converges on the negative real axis while the series diverges on the positive axis. Despite the divergent nature of the resonant expansion, good approximations can be obtained in a compact spatial domain.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Mar 01, 2016
- Source ID
- 10.1063/1.4944625
Entities
People
- A. Bahl
- J. M. Brown
- Jerome V. Moloney
- M. Kolesik
- P. Jakobsen
Organizations
- Air Force Office of Scientific Research
- University of Arizona
- University of Tromsø – The Arctic University of Norway