Displacement operator

The displacement operator for one mode in quantum optics is the shift operator

where $\alpha$ is the amount of displacement in optical phase space, $\alpha^*$ is the complex conjugate of that displacement, and $\hat{a}$ and $\hat{a}^\dagger$ are the lowering and raising operators, respectively. The name of this operator is derived from its ability to displace a localized state in phase space by a magnitude $\alpha$ . It may also act on the vacuum state by displacing it into a coherent state. Specifically, $\hat{D}(\alpha)|0\rangle=|\alpha\rangle$ where $|\alpha\rangle$ is a coherent state, which is the eigenstates of the annihilation (lowering) operator.

单词	Displacement operator
释义	Displacement operator 英语百科 Displacement operator The displacement operator for one mode in quantum optics is the shift operator where $\alpha$ is the amount of displacement in optical phase space, $\alpha^*$ is the complex conjugate of that displacement, and $\hat{a}$ and $\hat{a}^\dagger$ are the lowering and raising operators, respectively. The name of this operator is derived from its ability to displace a localized state in phase space by a magnitude $\alpha$ . It may also act on the vacuum state by displacing it into a coherent state. Specifically, $\hat{D}(\alpha)\|0\rangle=\|\alpha\rangle$ where $\|\alpha\rangle$ is a coherent state, which is the eigenstates of the annihilation (lowering) operator.
随便看	madisterium的意思 madistor的意思 Madiswil的意思 MADIT的意思 mad itch的意思 Maditch virus的意思 Maditha, Mt.的意思 Maditsenyane的意思 Madiun的意思 Madiun Affair的意思 madiuns的意思 madiza lacteipennis的意思 Madjia的意思 Madjingo的意思 Madjoari的意思 Madjogo的意思 madjoun的意思 Madjé的意思 mad keen的意思 madkins的意思 MADL的意思 Madla的意思 madlala的意思 madlalas的意思 madle的意思