symbolic math - Simplification rule not being applied properly -


i'm trying use dirac bra-ket notation in maxima using code here http://raoul.koalatux.ch/sites/ladderoperator/ladder_operator.html

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));

for expressions works:

bra(0) . ket(0); ket(1) . bra(0) . ket(0); bra(1) . ket(1) . bra(0) . ket(0);

all simplify correctly, but

bra(1) . ket(1) . bra(0);

fails simplify bra(0). how can maxima simplify case?

i think can start this:

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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