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- Title
SPECTRAL ANALYSIS ON SWANSON'S HAMILTONIAN.
- Authors
MOHAPATRA, PRACHIPRAVA; RATHY, BISWANATH; MALLICKZ, PRAVANJAN
- Abstract
In the original work of non-Hermitian Swanson's Hamiltonian and subsequent Hermitian counterpart of the same, it has been shown that the only condition ∦ -- α -- β > 0 reflects positive energy eigenvalues. However, we find that the Swanson Hamiltonian reflects both positive as well as negative energy under the same condition (∦ -- α -- β>0). In order to complete the work, we also discuss the wave function corresponding to negative energy.
- Subjects
HAMILTONIAN systems; HERMITIAN operators; EIGENVALUES; WAVE functions; EIGENANALYSIS
- Publication
Acta Physica Polonica B, 2018, Vol 49, Issue 10, p1813
- ISSN
0587-4254
- Publication type
Article
- DOI
10.5506/APhysPolB.49.1813