Finding of the metric operator for a quasi-Hermitian model (Q362771)
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scientific article; zbMATH DE number 6203153
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finding of the metric operator for a quasi-Hermitian model |
scientific article; zbMATH DE number 6203153 |
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Finding of the metric operator for a quasi-Hermitian model (English)
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30 August 2013
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Summary: We consider on an appropriate Sobolev space a non-Hermitian Hamiltonian \(H_{\alpha, \beta}\) depending on the two complex parameters \(\alpha\) and \(\beta\) and having real spectrum. We derive a closed formula for a family of the metric operators, which render the Hamiltonian \(H_{\alpha, \beta}\) Hermitian. In some particular cases, we calculate the Hermitian counterpart of \(H_{\alpha, \beta}\).
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quasi-Hermitian quantum mechanics
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