tensor product of Hilbert spaces

One, for instance, is via the tensor product of Hilbert spaces.

Consider a quantum mechanical system whose state space is the tensor product of Hilbert spaces.

Tensor products of Hilbert spaces arise often in quantum mechanics.

This discusses infinite tensor products of Hilbert spaces and the algebras acting on them.

Non-commutative dynamics (called also quantum dynamics) is formulated in terms of Von Neumann algebras and continuous tensor products of Hilbert spaces.

For the Bose-Fermi mixtures, the corresponding Hilbert space of the Bose-Fermi-Hubbard model is simply the tensor product of Hilbert spaces of the bosonic model and the fermionic model.

In mathematics, and in particular functional analysis, the tensor product of Hilbert spaces is a way to extend the tensor product construction so that the result of taking a tensor product of two Hilbert space is another Hilbert space.

For Hilbert spaces or nuclear spaces there is a simple well-behaved theory of tensor products (see Tensor product of Hilbert spaces), but for general Banach spaces or locally convex topological vector space the theory is notoriously subtle.

The category FdHilb of finite dimensional Hilbert spaces is a dagger symmetric monoidal category where the tensor is the usual tensor product of Hilbert spaces and where the dagger of a linear map is given by its hermitian adjoint.