projective hilbert space造句

This definition makes it clear that unit ray space is a projective Hilbert space.
The vector space need not be finite-dimensional; thus, for example, there is the theory of projective Hilbert spaces.
Equivalently, the Fubini Study metric can be understood as the metric on complex projective Hilbert space that is induced by the complex extension of the flat Euclidean metric.
If one wants to consider antipodal points as identified, one passes to projective space ( see also projective Hilbert space, for this idea as applied in quantum mechanics ).
When the setting for random variables is on complex projective space or projective Hilbert space, geometrized with the Fubini Study metric, the theory of quantum mechanics and more generally quantum field theory results.
It's difficult to find projective hilbert space in a sentence. 用projective hilbert space造句挺难的

If one vector is obtained from the other by multiplying by a scalar of unit magnitude, the two vectors are said to correspond to the same " ray " in Hilbert space and also to the same point in the projective Hilbert space.
In quantum physics, the wave function associated to a pure state of a quantum mechanical system is a probability amplitude, meaning that it has unit norm, and has an inessential overall phase : that is, the wave function of a pure state is naturally a point in the projective Hilbert space of the state space.