Shift of the coordinate origin in calculating resonances by dilatation transformation (Q760190)
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scientific article; zbMATH DE number 3883541
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Shift of the coordinate origin in calculating resonances by dilatation transformation |
scientific article; zbMATH DE number 3883541 |
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Shift of the coordinate origin in calculating resonances by dilatation transformation (English)
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1985
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This note will show how to find a good basis set to identify resonances in problems which do not possess a center of inversion. To simplify the discussion the Hamiltonian \[ H=p^ 2_ x+x^ 2/4-\lambda x^ 3,\quad p_ x=-id/dx,\quad \lambda >0 \] will be used as an illustrative example.
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dilatation transformation
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resonant scattering
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self-adjoint Hamiltonian
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non-Hermitian eigenvalue problem
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