_Ladder operators_ are operators that raise or lower [eigenvalues of an observable.](Observable.md#Constructing%20observables) Ladder operators are also referred to as _raising and lowering operators_. %%Does this concept even exist for non quantum harmonic oscillator systems? Perhaps the issue here is also that we haven't necessarily distinguished ladder operators for angular momentum states vs harmonic oscillator states. This needs to be fixed. If angular momentum states are actually all harmonic oscillator states then this page should be deleted.%% # Ladder operator commutation relations %%This is a general remark about algebraic relationships%% # Harmonic oscillator ladder operators ([... see more](Harmonic%20Oscillator%20Ladder%20Operators.md)) ## Creation and annihilation operators ([... see more](creation%20and%20annihilation%20operators.md)) # Angular momentum ladder operators ([... see more](Angular%20momentum%20ladder%20operators.md)) #QuantumMechanics/StationaryStateQuantumSystems #QuantumMechanics/StationaryStateQuantumSystems/QuantumHarmonicOscillators #QuantumMechanics/StationaryStateQuantumSystems/QuantizedAngularMomentum #QuantumMechanics/QuantumDynamics #QuantumMechanics/QuantumHarmonicOscillators