fock space

This is the idea behind the definition of Fock space.

The general state in a Fock space is a linear combination of pure states.

A more intricate example is provided by the Fock spaces, which describe a variable number of particles.

Fock states form the most convenient basis of the Fock space.

A useful and convenient basis for a Fock space is the occupancy number basis.

Fock space is used to analyze such quantum phenomena as the annihilation and creation of particles.

The number operator acts on Fock space.

This construction is called Fock space.

For historical reasons the Schrödinger representation is less favoured than Fock space methods.

The space spanned by the occupation number basis is denoted the Fock space.

Thus, not all elements of a Fock space are referred to as "Fock states."

It can thus be naturally interpreted as an element of -particle section of the odd Fock space.

This technique can be similarly extended to the bosonic Fock space of multiparticle photons.

There is a one-to-one correspondence between the occupation number representation and valid boson states in the Fock space.

The closed linear span of these states gives the even part of holomorphic Fock space .

The field operators are defined for each as the generator of the one-parameter unitary group on the symmetric Fock space.

The former is an operator acting on the Fock space, and the latter is a quantum-mechanical amplitude for finding a particle in some position.

For every basis for there is a natural basis of the Fock space, the Fock states.

The Fock spaces then have a natural interpretation as symmetric or anti-symmetric square integrable functions as follows.

It can be shown that these are operators in the usual quantum mechanical sense, i.e. linear operators acting on the Fock space.

This is unlike the usual Fock space description, where the Hilbert space includes particle states with different velocities.

In quantum mechanics, the exchange operator is a quantum mechanical operator that acts on states in Fock space.

This logic is however incompatible with the standard and well-established methods of quantum field theory based on Fock space and perturbation theory.

A typical example is obtained from the representations of the Lie algebra of SU(1,1) on the Fock space.

Because the physical fields live at ghostnumber one, it is also assumed that the string field is a ghostnumber one element of the Fock space.