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documentation:language_reference:objects:responsefunction:functions:tomatrix [2024/12/31 12:27] – Maurits W. Haverkort | documentation:language_reference:objects:responsefunction:functions:tomatrix [2024/12/31 12:32] (current) – Maurits W. Haverkort |
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As we only need the left top matrix of dimension //Blocksize// of the inverse of the matrix the matrix $M$ is not uniquely determined. The exact form of $M$ depends on the type used for the response function. | We only need the left top matrix of dimension //Blocksize// of the inverse of the matrix $(\omega+\mathrm{i}\Gamma/2) - M$. As a result the matrix $M$ is not uniquely determined. Any unitary transformation of the bath, i.e. all rows and columns with index larger than //Blocksize// does not change $G$. As a consequence $M$ is not uniquely defined. The exact form of $M$ returned depends on the type used for the response function. See [[documentation:language_reference:objects:responsefunction:functions:totightbinding|ToTightbinding]] for more information on the relation between the internal representations of response functions and [[documentation:language_reference:objects:responsefunction:functions:totightbinding|tight binding Hamiltonians]], full matrix representations, or [[documentation:language_reference:objects:responsefunction:functions:tooperator|operators]]. |
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