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The direct sum of zero-, one-, and many-particle tensor powers of a one-particle Hilbert space.
Full tensor Fock space, bosonic Fock space, and fermionic Fock space are distinct constructions.
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Fock space is a Hilbert direct sum of zero-, one-, and many-particle tensor-power sectors.
A mathematical concept supplies part of the formal language, state space, representation, or analytic machinery used by a scientific or mathematical-physics concept. The source is the mathematical predecessor; this does not claim that physical content follows from mathematics alone.
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Fock space is the graded direct sum of tensor powers of a one-particle Hilbert space.
Apply a standard functorial or canonical construction whose output is not merely a reduct of the input and is not generally an equivalent presentation of the same object.
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This is an authored directed relation from the source endpoint to the target endpoint.
Fermionic Fock space retains antisymmetric tensor powers.
Keep the existing data and select the subclass satisfying an additional law, existence condition, finiteness condition, or other property.
wp-fock_spacenlab-fock_spaceThis is an authored directed relation from the source endpoint to the target endpoint.
Fock space has an occupation-number basis after choosing one-particle modes.
A mathematical concept supplies part of the formal language, state space, representation, or analytic machinery used by a scientific or mathematical-physics concept. The source is the mathematical predecessor; this does not claim that physical content follows from mathematics alone.
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After harmonic lattice normal modes are quantized, their multi-phonon states are represented in a bosonic Fock space. This formulation presupposes the normal-mode approximation and does not make phonons fundamental particles.
A mathematical concept supplies part of the formal language, state space, representation, or analytic machinery used by a scientific or mathematical-physics concept. The source is the mathematical predecessor; this does not claim that physical content follows from mathematics alone.
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Free fields and asymptotic particle states are naturally represented in Fock space. Generic interacting QFT need not admit a global particle interpretation or a Fock representation unitarily equivalent to the free one.
A mathematical concept supplies part of the formal language, state space, representation, or analytic machinery used by a scientific or mathematical-physics concept. The source is the mathematical predecessor; this does not claim that physical content follows from mathematics alone.
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Fock space supplies the occupation-number state space for second quantization.
A mathematical concept supplies part of the formal language, state space, representation, or analytic machinery used by a scientific or mathematical-physics concept. The source is the mathematical predecessor; this does not claim that physical content follows from mathematics alone.
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Bosonic Fock space retains symmetric tensor powers.
Keep the existing data and select the subclass satisfying an additional law, existence condition, finiteness condition, or other property.
wp-fock_spacenlab-fock_space