Bảng so sánh Bức_tranh_Heisenberg

EvolutionPicture
of:HeisenbergInteractionSchrödinger
Ket statehằng số | ψ I ( t ) ⟩ = e i H 0 , S   t / ℏ | ψ S ( t ) ⟩ {\displaystyle |\psi _{I}(t)\rangle =e^{iH_{0,S}~t/\hbar }|\psi _{S}(t)\rangle } | ψ S ( t ) ⟩ = e − i H S   t / ℏ | ψ S ( 0 ) ⟩ {\displaystyle |\psi _{S}(t)\rangle =e^{-iH_{S}~t/\hbar }|\psi _{S}(0)\rangle }
Observable A H ( t ) = e i H S   t / ℏ A S e − i H S   t / ℏ {\displaystyle A_{H}(t)=e^{iH_{S}~t/\hbar }A_{S}e^{-iH_{S}~t/\hbar }} A I ( t ) = e i H 0 , S   t / ℏ A S e − i H 0 , S   t / ℏ {\displaystyle A_{I}(t)=e^{iH_{0,S}~t/\hbar }A_{S}e^{-iH_{0,S}~t/\hbar }} hằng số
Density matrixhằng số ρ I ( t ) = e i H 0 , S   t / ℏ ρ S ( t ) e − i H 0 , S   t / ℏ {\displaystyle \rho _{I}(t)=e^{iH_{0,S}~t/\hbar }\rho _{S}(t)e^{-iH_{0,S}~t/\hbar }} ρ S ( t ) = e − i H S   t / ℏ ρ S ( 0 ) e i H S   t / ℏ {\displaystyle \rho _{S}(t)=e^{-iH_{S}~t/\hbar }\rho _{S}(0)e^{iH_{S}~t/\hbar }}