Definitions for fock space
fock space

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1. Fock spacenoun

   An algebraic system used in quantum mechanics to describe quantum states with a variable or unknown number of particles.

2. Etymology: Named after V. A. Fock, who introduced it in his paper Konfigurationsraum und zweite Quantelung.

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1. Fock space

   The Fock space is an algebraic construction used in quantum mechanics to construct the quantum states space of a variable or unknown number of identical particles from a single particle Hilbert space H. It is named after V. A. Fock who first introduced it in his 1932 paper "Konfigurationsraum und zweite Quantelung" ("Configuration space and second quantization").Informally, a Fock space is the sum of a set of Hilbert spaces representing zero particle states, one particle states, two particle states, and so on. If the identical particles are bosons, the n-particle states are vectors in a symmetrized tensor product of n single-particle Hilbert spaces H. If the identical particles are fermions, the n-particle states are vectors in an antisymmetrized tensor product of n single-particle Hilbert spaces H (see symmetric algebra and exterior algebra respectively). A general state in Fock space is a linear combination of n-particle states, one for each n. 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 S ν {\displaystyle S_{\nu }} is the operator which symmetrizes or antisymmetrizes a tensor, depending on whether the Hilbert space describes particles obeying bosonic ( ν = + ) {\displaystyle (\nu =+)} or fermionic ( ν = − ) {\displaystyle (\nu =-)} statistics, and the overline represents the completion of the space. The bosonic (resp. fermionic) Fock space can alternatively be constructed as (the Hilbert space completion of) the symmetric tensors F + ( H ) = S ∗ H ¯ {\displaystyle F_{+}(H)={\overline {S^{*}H}}} (resp. alternating tensors F − ( H ) = ⋀ ∗ H ¯ {\textstyle F_{-}(H)={\overline {{\bigwedge }^{*}H}}} ). For every basis for H there is a natural basis of the Fock space, the Fock states.

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1. Fock space

   The Fock space is an algebraic construction used in quantum mechanics to construct the quantum states space of a variable or unknown number of identical 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. Informally, a Fock space consists of a set of Hilbert spaces representing a zero particle state, a one particle state, a two particle state, and so on. If the identical particles are bosons, the -particle state is a symmetrized tensor product of single particle Hilbert spaces . If the identical particles are fermions, the -particle state is an antisymmetrized tensor product of single particle Hilbert spaces . A state in Fock space is a linear combination of states, where each state has a definite number of particles. Technically, the Fock space is 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, and the overline represents the completion of the space. The bosonic Fock space can alternatively be constructed as the symmetric tensors . For every basis for there is a natural basis of the Fock space, the Fock states.

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Numerology

1. Chaldean Numerology

   The numerical value of fock space in Chaldean Numerology is: 4

2. Pythagorean Numerology

   The numerical value of fock space in Pythagorean Numerology is: 7

References

1. ^ Wiktionary
   https://en.wiktionary.org/wiki/Fock_Space
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Fock_Space
3. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=fock space