Two dimensional non-Hermitian harmonic oscillator: coherent states

• URL: http://arxiv.org/abs/2012.04526v1
• Date: Tue, 8 Dec 2020 16:16:04 GMT
• Title: Two dimensional non-Hermitian harmonic oscillator: coherent states
• Authors: Masoumeh Izadparast and S. Habib Mazharimousavi
• Abstract summary: The corresponding time independent Schr"odinger equation yields real eigenvalues with complex eigenfunctions. We construct the coherent state of the system by using a superposition of 12 eigenfunctions.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this study, we introduce a two dimensional complex harmonic oscillator potential with space and time reflection symmetries. The corresponding time independent Schr\"odinger equation yields real eigenvalues with complex eigenfunctions. We also construct the coherent state of the system by using a superposition of 12 eigenfunctions. Using the complex correspondence principle for the probability density we investigate the possible modifications in the probability densities due to the non-Hermitian aspect of the Hamiltonian.

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