量子力学 · 学部

Commutator

The noncommutativity measure that organizes quantum observables.

公開 2026年4月26日 · 1 分

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Definition

For operators $A$ and $B$ ,

[A,B]=AB-BA.

Position and momentum satisfy

[\hat x,\hat p]=i\hbar.

This algebraic fact is the root of the uncertainty principle.

The algebraic operation controlling time evolution in Hamiltonian mechanics.

波動関数の時間発展を支配する量子力学の中心方程式。

The unitary operator that advances a quantum state in time.