Complex phase space coordinates

[luxtenebra]

First post ! I hope that my question will not make some long time physicists laugh. It is about geometrical quantization and the phase space in which we use : z=1/sqrt(2)(q+ip)
My question is simple what is this 1/sqrt(2) ? And what is it is interpretation ?
Thank you !

 

[PeterDonis]

what is this 1/sqrt(2) ? And what is it is interpretation ?

The magnitude of $z$ has to be 1, because the probabilities have to all add up to 1. That is what the $1 / \sqrt{2}$ factor is there for.

 

[luxtenebra]

The magnitude of $z$ has to be 1, because the probabilities have to all add up to 1. That is what the $1 / \sqrt{2}$ factor is there for.

Thanks a lot ! You just confirmed my intuition. Is there any relation to do with Heisenberg principle since we talk about poistion (q) and momentum (p) ?