CODEWITHSUNDEEP
symbolic-mathmaximacomputer-algebra-systems
cwitte
cwitte

Reputation: 140

Simplification rule not being applied properly

I'm trying to use Dirac Bra-Ket notation in Maxima using the code from 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 most expressions it 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 to simplify to bra(0). How can I get Maxima to simplify this case?

Upvotes: 1

Views: 257

Answers (1)

slitvinov
slitvinov

Reputation: 5768

I think you can start with 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);

Upvotes: 2

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