Symbol in context

$U^\dagger$

This entry links every published equation using this exact notation. Its meaning may change between equations.

Used in 13 equations

U^\dagger U = I

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

i\hbar\,\frac{d|\psi'\rangle}{dt} = \Big(U H_f U^\dagger + i\hbar\,\dot U U^\dagger\Big)|\psi'\rangle,

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

H_c(t) := UH_fU^\dagger + i\hbar\dot U U^\dagger

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

UH_fU^\dagger

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

i\hbar\dot U U^\dagger

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

UU^\dagger = I

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

\dot U U^\dagger = -U\dot U^\dagger

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

(i\hbar\dot U U^\dagger)^\dagger = -i\hbar U\dot U^\dagger = i\hbar \dot U U^\dagger

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

UH_fU^\dagger = H_f

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

\dot U U^\dagger = i\omega_r\sigma_z/2

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

UH_fU^\dagger

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

\rho_S(t) = \mathrm{Tr}_E\big[U(t)\,\rho_S(0)\otimes\rho_E(0)\,U^\dagger(t)\big]

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

\mathcal U(\rho)=U\rho U^\dagger

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.