量子力学 · 学部

Time Evolution Operator

The unitary operator that advances a quantum state in time.

公開 2026年4月26日 · 1 分

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Time-Independent Hamiltonian

If $H$ is time independent,

U(t)=e^{-iHt/\hbar}.

The state evolves as

|\psi(t)\rangle = U(t)|\psi(0)\rangle.

Unitarity preserves normalization.

The noncommutativity measure that organizes quantum observables.

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 total probability associated with a quantum state must equal one.