- #1

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**x**> and |

**p**> are not vectors in 3-D. If that is correct what are they ? I know | ψ > is an abstract vector but I thought |

**x**> and |

**p**> would be 3-D vectors in the position and momentum representation ?

Thanks

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- Thread starter dyn
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- #1

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Thanks

- #2

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- #3

- 7

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<a|b> kind of dot(a.conjugate , b)

b><b|a> projection into other direction like b*dot(b.conjugate , a)

v2=pol><pol|v> is equivalent with this pseudo code

amp=dot(v,pol)

v2.x = pol.x*amp

v2.y = pol.y*amp

conjugate of V is V.imaginary=-V.imaginary

- #4

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The Pauli matrices transform the 3d direction into 2d complex vector like spin.

- #5

- 7

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because there is a minus sign in real part of multiplication of complex numbers.

complex operator *(complex c)

{

complex e;

e.real = this->real*c.real - this->img*c.img;

e.img = this->img*c.real + this->real*c.img;

return e;

}

- #6

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They are distributions, elements in the dual space of a Schwartz space of smooth functions. Only the labels are vectors in 3D.x> and |p> are not vectors in 3-D. If that is correct what are they ?