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documentation:ref:diracsimplify [2015/11/20 20:11] poslavskysv [Examples] |
documentation:ref:diracsimplify [2015/11/21 12:33] (current) |
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| defineMatrices 'G_a', 'G5', Matrix1.matrix | defineMatrices 'G_a', 'G5', Matrix1.matrix | ||
| def dSimplify = DiracSimplify | def dSimplify = DiracSimplify | ||
| - | println DiracTrace >> 'G_a*G^a'.t | + | println dSimplify >> 'G_a*G^a'.t |
| </sxh> | </sxh> | ||
| <sxh plain; gutter: false> | <sxh plain; gutter: false> | ||
| Line 49: | Line 49: | ||
| <sxh plain; gutter: false> | <sxh plain; gutter: false> | ||
| > 2*G_{b} | > 2*G_{b} | ||
| + | </sxh> | ||
| + | |||
| + | ---- | ||
| + | Simplify in different dimensions: | ||
| + | <sxh groovy; gutter: true> | ||
| + | defineMatrices 'G_a', 'G5', Matrix1.matrix | ||
| + | def dSimplify = DiracSimplify[[Dimension: 'D']] | ||
| + | println dSimplify >> 'G_a*G^a'.t | ||
| + | </sxh> | ||
| + | <sxh plain; gutter: false> | ||
| + | > D | ||
| + | </sxh> | ||
| + | <sxh groovy; gutter: true; first-line: 4> | ||
| + | println dSimplify >> 'G_a*G_b*G^a'.t | ||
| + | </sxh> | ||
| + | <sxh plain; gutter: false> | ||
| + | > -(-2+D)*G_{b} | ||
| + | </sxh> | ||
| + | |||
| + | ---- | ||
| + | Specify additional simplifications: | ||
| + | <sxh groovy; gutter: true> | ||
| + | defineMatrices 'G_a', 'G5', Matrix1.matrix | ||
| + | def dSimplify = DiracSimplify[[Simplifications: 'p_a*k^a = s'.t]] | ||
| + | println dSimplify >> 'p^b*k^c*G_a*G_b*G_c*G^a'.t | ||
| + | </sxh> | ||
| + | <sxh plain; gutter: false> | ||
| + | > 4*s | ||
| </sxh> | </sxh> | ||
| ====See also==== | ====See also==== | ||
| * Related guides: [[documentation:guide:applying_and_manipulating_transformations]], [[documentation:guide:Setting up matrix objects]], [[documentation:guide:list_of_transformations]] | * Related guides: [[documentation:guide:applying_and_manipulating_transformations]], [[documentation:guide:Setting up matrix objects]], [[documentation:guide:list_of_transformations]] | ||
| * Related tutorials: [[documentation:tutorials:Compton scattering in QED]] | * Related tutorials: [[documentation:tutorials:Compton scattering in QED]] | ||
| - | * Related transformations: [[documentation:ref:DiracTrace]], [[documentation:ref:DiracOrder]], [[documentation:ref:LeviCivitaSimplify]], [[documentation:ref:UnitarySimplify]], [[documentation:ref:UnitaryTrace]] | + | * Related transformations: [[documentation:ref:DiracTrace]], [[documentation:ref:spinorssimplify]], [[documentation:ref:DiracOrder]], [[documentation:ref:LeviCivitaSimplify]], [[documentation:ref:UnitarySimplify]], [[documentation:ref:UnitaryTrace]] |
| - | * JavaDocs: [[http://api.redberry.cc/redberry/1.1.8/java-api//cc/redberry/physics/feyncalc/DiracSimplifyTransformation.html| DiracSimplifyTransformation]] | + | * JavaDocs: [[http://api.redberry.cc/redberry/1.1.9/java-api//cc/redberry/physics/feyncalc/DiracSimplifyTransformation.html| DiracSimplifyTransformation]] |
| * Source code: [[https://bitbucket.org/redberry/redberry/src/tip/physics/src/main/java/cc/redberry/physics/feyncalc/DiracSimplifyTransformation.java|DiracSimplifyTransformation.java]] | * Source code: [[https://bitbucket.org/redberry/redberry/src/tip/physics/src/main/java/cc/redberry/physics/feyncalc/DiracSimplifyTransformation.java|DiracSimplifyTransformation.java]] | ||
| + | |||