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The quantum system with a quadratic Hamiltonian. The standard one-dimensional oscillator has equally spaced energy levels and creation–annihilation operator structure.
wp-physics-quantum_harmonic_oscillatornlab-physics-quantum_harmonic_oscillatortong-quantumEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
The harmonic oscillator is the universal quadratic quantum model near stable equilibria and for free field modes.
A more specific theory, model, entity class, or regime is obtained by restricting or extending the scope of a broader framework.
wp-physics-quantum_harmonic_oscillatornlab-physics-quantum_harmonic_oscillatorwp-physics-quantum_mechanicsnlab-physics-quantum_mechanicsEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
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.
The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.
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