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--- documentation:language_reference:functions:rotate [2019/08/07 10:26] – Simon Heinze
+++ documentation:language_reference:functions:rotate [2019/08/07 10:51] (current) – Major Update, including the mentioning of the rotation convention Simon Heinze
@@ Line 2: / Line 2: @@
 ###
-//Rotate( $\psi$ ,  $R$ )// or //Rotate( $O$ ,  $R$ )// rotates the basis of a wave-function or operator.
+//Rotate( $M$ ,  $R$ )//, //Rotate( $\psi$ ,  $R$ )//, //Rotate($O $,$ R $)// or //Rotate($ TB $,$ R$)// rotates the basis of a quadratic matrix, a wave-function, an operator, or a tight-binding object (passive transformation). For a matrix it thus returns  $R^\ast \cdot M \cdot R^T$ , where  $R^\ast$  denotes the complex conjugate and  $R^T$  the transpose of the rotation matrix  $R$ .
+ $R$  needs to be a matrix of dimension  $N_1\times N_2$ , where  $N_2$  equals the number of rows of  $M$ , or  $N_{Fermion}+N_{Boson}$  of  $\psi$ ,  $O$  or  $TB$ . The rotation matrix  $R$  is not required to be quadratic, it is therefore possible to use rotations to change the number of dimensions of the Hilbert-space.
+ $R^\ast \cdot R^T = 1$  is not checked by Quanty, to allow scaling rotations.
 ###
 ===== Input =====
-  * psi or Opp : Wavefunction or operator
+  *  $M$ , $\psi $,$ O$ or  $TB$  : a quadratic (complex or real valued) matrix, a wave-function, an operator, or a tight-binding object.
-  * rotmat : matrix of dimension NFermion+NBoson (table of tables) or real or complex numbers
+  *  $R$  : a complex or real valued generalised rotation matrix.
 ===== Output =====
-  * psi or Opp : Wavefunction or operator
+  *  $M^\prime$ , $\psi^\prime $,$ O^\prime$ or  $TB^\prime$  : the rotated quadratic matrix, wave-function, operator, or tight-binding object.
 ===== Example =====

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