Hello All
I have been working on some Quantum Problems and have not been able to get
PDL to produce the right results
for the Pauli matrices ...
(($x x $y) - ($y x $x)) = $z ; (($y x $z) - ($z x $y)) = $x; (($z
x $x) - ($x x $z)) = $y;
where $x = [ 0 1 ] $y = [ 0 -i ] $z = [ 1 0 ]
[ 1 0 ] [ i 0 ] [ 0
1 ]
yet when I try to enter -i I get this use PDL::Complex;
pdl> p $y = pdl( [ 0, -i ] , [ i, 0 ] );
Ambiguous use of -i resolved as -&i() at (eval 91) line 4.
[
[
[ 0 0]
[ 0 -1]
]
[
[0 1]
[0 0]
]
]
and here is the answer i get when trying to use it ...
pdl> p (($z x $x) - ($x x $z))
[
[ 0 2]
[-2 0]
]
this should be ...
[ 0 -i ]
[ i 0 ]
and ....
pdl> p (($x x $y) - ($y x $x));
[
[
[ 0 -1]
[ 1 0]
]
[
[-1 0]
[ 0 1]
]
]
I have two answers for this yet the one answer should be ...
[ 1 0 ][ 0 -1 ]
Can any one help explain why (($x x $y) - ($y x $x)) = $z ; (($y x $z) -
($z x $y)) = $x; (($z x $x) - ($x x $z)) = $y;is not working right here ???
Warm Regards,
-Mark
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