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Relativistic point interaction
Relativistic point interaction
- Source :
- Letters in Mathematical Physics. 30:159-167
- Publication Year :
- 1994
- Publisher :
- Springer Science and Business Media LLC, 1994.
-
Abstract
- A four-parameter family of all self-adjoint operators corresponding to the one-dimensional Dirac Hamiltonian with point interaction is characterized in terms of boundary conditions. The spectrum and eigenvectors, and the scattering parameters are calculated. It is shown that the nonrelativistic limit reproduces (in the norm resolvent sense) the four-parameter family of Schrodinger operators with point interaction, their eigenvalues and scattering parameters.
- Subjects :
- Mathematical analysis
Complex system
Statistical and Nonlinear Physics
symbols.namesake
symbols
Scattering theory
Boundary value problem
Hamiltonian (quantum mechanics)
Mathematical Physics
Eigenvalues and eigenvectors
Schrödinger's cat
Self-adjoint operator
Mathematical physics
Resolvent
Mathematics
Subjects
Details
- ISSN :
- 15730530 and 03779017
- Volume :
- 30
- Database :
- OpenAIRE
- Journal :
- Letters in Mathematical Physics
- Accession number :
- edsair.doi.dedup.....ec2a4e91ccf817e0a7d6ee22ebb7f218
- Full Text :
- https://doi.org/10.1007/bf00939703