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In the quantum mechanics study of optical phase space, the displacement operator for one mode is the shift operator in quantum optics, , where is the amount of displacement in optical phase space, is the complex conjugate of that displacement, and and are the lowering and raising operators, respectively.

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  • Displacement operator (en)
  • 変位演算子 (ja)
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  • 量子光学における1つのモードの変位演算子(へんいえんざんし)とは、次のようなシフト演算子である。 ここではでの変位の大きさ、はその変位の複素共役、とは生成消滅演算子である。この名前は位相空間での局在状態を大きさだけ変位できることに由来する。また真空状態に作用することでコヒーレント状態に変位させる。 はコヒーレント状態で、消滅演算子の固有状態である。 (ja)
  • In the quantum mechanics study of optical phase space, the displacement operator for one mode is the shift operator in quantum optics, , where is the amount of displacement in optical phase space, is the complex conjugate of that displacement, and and are the lowering and raising operators, respectively. (en)
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  • In the quantum mechanics study of optical phase space, the displacement operator for one mode is the shift operator in quantum optics, , where is the amount of displacement in optical phase space, is the complex conjugate of that displacement, and and 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 . It may also act on the vacuum state by displacing it into a coherent state. Specifically, where is a coherent state, which is an eigenstate of the annihilation (lowering) operator. (en)
  • 量子光学における1つのモードの変位演算子(へんいえんざんし)とは、次のようなシフト演算子である。 ここではでの変位の大きさ、はその変位の複素共役、とは生成消滅演算子である。この名前は位相空間での局在状態を大きさだけ変位できることに由来する。また真空状態に作用することでコヒーレント状態に変位させる。 はコヒーレント状態で、消滅演算子の固有状態である。 (ja)
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