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| documentation:language_reference:objects:responsefunction:functions:tomatrix [2024/09/16 12:08] – created Maurits W. Haverkort | documentation:language_reference:objects:responsefunction:functions:tomatrix [2024/12/31 12:32] (current) – Maurits W. Haverkort |
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| alligned paragraph text | //M = ResponseFunction.ToMatrix(G)// returns a matrix representation of $G$ such that $$ G(\omega,\Gamma) = A_0 + B_0^* \left( \frac{1}{(\omega+\mathrm{i}\Gamma/2) - M} \right)_{[1..Blocksize,1..Blocksize]} B_0^T$$ |
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| ===== Example ===== | |
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| description text | 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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| ==== Input ==== | |
| <code Quanty Example.Quanty> | |
| -- some example code | |
| </code> | |
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| ==== Result ==== | |
| <file Quanty_Output> | |
| text produced as output | |
| </file> | |
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| ===== Table of contents ===== | ===== Table of contents ===== |
| {{indexmenu>.#1|msort}} | {{indexmenu>../#2|tsort}} |
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