Fock Space

The Fock space is an algebraic construction used in quantum mechanics to construct the quantum states of a variable or unknown number of particles from a single particle Hilbert space . It is named after V. A. Fock who first introduced it in his paper Konfigurationsraum und zweite Quantelung.

Technically, the Fock space is (the Hilbert space completion of) the direct sum of the symmetric or antisymmetric tensors in the tensor powers of a single-particle Hilbert space H:

Here is the operator which symmetrizes or antisymmetrizes a tensor, depending on whether the Hilbert space describes particles obeying bosonic or fermionic statistics. The bosonic (resp. fermionic) Fock space can alternatively be constructed as (the Hilbert space completion of) the symmetric tensors (resp. alternating tensors ). For every basis for there is a natural basis of the Fock space, the Fock states.

Read more about Fock Space:  Definition, Example, Wave Function Interpretation

Other articles related to "fock space, space, fock, fock spaces":

BRST Quantization - The BRST Operator and Asymptotic Fock Space
... use only the action of the gauge algebra on the fields (functions on the phase space) ... this implies that there is a related operator on the state space for which —i ... the BRST operator on Fock states is a conserved charge of the Hamiltonian system ...
Fock Space - Wave Function Interpretation
... Often the one particle space is given as, the space of square integrable functions on a space with measure (strictly speaking, the equivalence classes of ... The typical example is the free particle with the space of square integrable functions on three dimensional space ... The Fock spaces then have a natural interpretation as symmetric or anti-symmetric square integrable functions as follows ...
Free Covariant String Field Theory
... case of the bosonic open string theory in 26-dimensional flat spacetime, a general element of the Fock-space of the BRST quantized string takes the form (in radial quantization in the ... In the worldsheet string theory, the unphysical elements of the Fock space are removed by imposing the condition as well as the equivalence relation ... one, it is also assumed that the string field is a ghostnumber one element of the Fock space ...

Famous quotes containing the word space:

    At first thy little being came:
    If nothing once, you nothing lose,
    For when you die you are the same;
    The space between, is but an hour,
    The frail duration of a flower.
    Philip Freneau (1752–1832)