Spectral theory of finite-zone nonstationary Schrödinger operators. A nonstationary Peierls model (Q1099006)
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scientific article; zbMATH DE number 4038359
| Language | Label | Description | Also known as |
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| English | Spectral theory of finite-zone nonstationary Schrödinger operators. A nonstationary Peierls model |
scientific article; zbMATH DE number 4038359 |
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Spectral theory of finite-zone nonstationary Schrödinger operators. A nonstationary Peierls model (English)
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1986
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Theorems about expansions in terms of Baker-Akhiezer functions associated with the time-dependent Schrödinger operator \(i\partial_ t-\partial\) \(2_ x+u(x,t)\) are proved. The nonlinear correlation between these functions and the potential u(x,t) are obtained. These results are applied to the construction of the exact solutions of the equations of the time-dependent Peierls model.
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finite-zone
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expansions
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Baker-Akhiezer functions
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time-dependent Schrödinger operator
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potential
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exact solutions
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time-dependent Peierls model
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