Created
December 31, 2015 18:00
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Maxima - Proper use of Dirac bra-ket notation.
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| declare(bra, nonscalar); | |
| declare(ket, nonscalar); | |
| dotscrules:true; | |
| matchdeclare(m,lambda([t],featurep(t,integer))); | |
| matchdeclare(n,lambda([t],featurep(t,integer))); | |
| tellsimp(bra(m).ket(n), kron_delta(m,n)); | |
| simp:false; | |
| matchdeclare(aa, true); | |
| matchdeclare(bb, true); | |
| matchdeclare(cc, true); | |
| tellsimp (aa.(bb.cc),(aa.bb).cc); | |
| simp:true; | |
| /* Tests */ | |
| bra(0) . ket(0); | |
| ket(1) . bra(0) . ket(0); | |
| bra(1) . ket(1) . bra(0) . ket(0); | |
| bra(1) . ket(1) . bra(0); | |
| ket(1) . bra(1) . ket(1); |
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That is very helpful! Though I would add
dotdistrib:true;for(bra(2) + 1) . ket(2);to give the correct result.