Mondal, Chandan Kumar ; Maji, Kaushik ; Bhattacharyya, S. P. (2001) On the eigenvalues and dynamics of non-Hermitian PT symmetric Hamiltonians in finite basis spaces Physics Letters A, 291 (4-5). pp. 203-207. ISSN 0375-9601
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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S03759...
Related URL: http://dx.doi.org/10.1016/S0375-9601(01)00718-6
Abstract
We consider two simple examples of PT symmetric non-Hermitian Hamiltonians H(λ)=H0+iλxn (n=1,3), H0 being the harmonic oscillator Hamiltonian. Analytical and numerical estimates in finite-dimensional subspaces of the Hilbert space spanned by eigenfunctions of H0 establish the existence of thresholds for λ(λc) only below which the spectrum of H(λ) is real. We also investigate the dynamics of evolution generated by H(λ<λc) and H(λ>λc) in finite-dimensional subspaces looking for typical signatures of PT symmetry on the dynamics.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 3060 |
| Deposited On: | 09 Oct 2010 10:12 |
| Last Modified: | 20 May 2011 08:26 |
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