Quantum time evolution operator

The time evolution operator for a quantum system in the Schrödinger picture with a time-independent Hamiltonian operator $ˆ 𝐻$ is given by the matrix exponential

𝑈 𝑡 = 𝑒 - 𝑖 𝑡 ˆ 𝐻 / ℏ

Since $ˆ 𝐻$ is a Hermitian operator it follows from ^P1 that $𝑈 𝑡$ is unitary.

#state/develop | #lang/en | #SemBr