The method of finite differences for some operator field equations (Q1091787)
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scientific article; zbMATH DE number 4011875
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The method of finite differences for some operator field equations |
scientific article; zbMATH DE number 4011875 |
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The method of finite differences for some operator field equations (English)
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1987
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We propose a new approach to the formulation of some operator field equations. In section 1 we study the consistency of some particular difference equations and the convergence of the exact solutions. In section 2 we apply these results to the quantum mechanical system in one dimension and obtain explicit and general expressions for the transfer operator and for the corresponding matrix elements.
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Heisenberg equation
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operator field equations
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consistency
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convergence
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quantum mechanical system
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transfer operator
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