Each relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
- Relation ID
condensed_collective_excitation_to_phonon- Relation type
- Classification
classification - Direction
- source → target
- Endpoint roles
- source: Has subtype; target: Classified as
- Authored annotation
- collective lattice mode
Authored explanation
A phonon is a collective excitation because its normal coordinate represents coordinated motion of many lattice sites.
How to interpret this relation type
The target is a member or subtype of the broader source class.
This is an authored directed relation from the source endpoint to the target endpoint.
- Relation ID
fock_space_to_phonon- Relation type
- Mathematical formulation
mathematical-formulation - Direction
- source → target
- Endpoint roles
- source: Mathematically formulates; target: Mathematically formulated using
- Authored annotation
- bosonic occupation-number state space
Authored explanation
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.
How to interpret this relation type
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.
This is an authored directed relation from the source endpoint to the target endpoint.
- Relation ID
condensed_lattice_vibration_to_phonon- Relation type
- Quantization
quantization - Direction
- source → target
- Endpoint roles
- source: Quantizes to; target: Obtained by quantizing
- Authored annotation
- quantized normal mode
Authored explanation
Quantizing the harmonic lattice normal modes yields phonon creation and annihilation operators. Anharmonic interactions give phonons finite lifetimes and mode coupling.
How to interpret this relation type
A classical system or field theory is used to construct a quantum theory through a stated quantization procedure. Quantization need not be unique and is not guaranteed to preserve every classical structure.
This is an authored directed relation from the source endpoint to the target endpoint.
- Relation ID
quantum_harmonic_oscillator_to_phonon- Relation type
- Theory component
theory-component - Direction
- source → target
- Endpoint roles
- source: Contributes to; target: Contains theory component
- Authored annotation
- quantized normal-mode algebra
Authored explanation
In the harmonic approximation, each independent lattice normal mode has quantum-harmonic-oscillator creation, annihilation, and occupation-number structure. Anharmonic terms then couple modes and limit phonon lifetimes.
How to interpret this relation type
The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.
This is an authored directed relation from the source endpoint to the target endpoint.
- Relation ID
condensed_quasiparticle_to_phonon- Relation type
- Classification
classification - Direction
- source → target
- Endpoint roles
- source: Has subtype; target: Classified as
- Authored annotation
- lattice-vibration quasiparticle
Authored explanation
A phonon is a quasiparticle associated with a quantized lattice normal mode.
How to interpret this relation type
The target is a member or subtype of the broader source class.