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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク squeezed coherent state ： ウィキペディア英語版 squeezed coherent state In physics, a squeezed coherent state is any state of the quantum mechanical Hilbert space such that the uncertainty principle is saturated. That is, the product of the corresponding two operators takes on its minimum value: :$\backslash Delta\; x\; \backslash Delta\; p\; =\; \backslash frac2$ The simplest such state is the ground state $|0\backslash rangle$ of the quantum harmonic oscillator. The next simple class of states that satisfies this identity are the family of coherent states $|\backslash alpha\backslash rangle$. Often, the term ''squeezed state'' is used for any such state with $\backslash Delta\; x\; \backslash neq\; \backslash Delta\; p$ in "natural oscillator units". The idea behind this is that the circle denoting a coherent state in a quadrature diagram (see below) has been "squeezed" to an ellipse of the same area. 〔 Loudon, Rodney, ''The Quantum Theory of Light'' (Oxford University Press, 2000), (0-19-850177-3 ) 〕 〔 D. F. Walls and G.J. Milburn, ''Quantum Optics'', Springer Berlin 1994 〕 〔 C W Gardiner and Peter Zoller, "Quantum Noise", 3rd ed, Springer Berlin 2004 〕 〔 D. Walls, ''Squeezed states of light'', Nature 306, 141 (1983) 〕 〔 R. E. Slusher et al., ''Observation of squeezed states generated by four wave mixing in an optical cavity'', Phys. Rev. Lett. 55 (22), 2409 (1985) 〕 ==Mathematical definition== The most general wave function that satisfies the identity above is the squeezed coherent state (we work in units with $\backslash hbar=1$) :$\backslash psi(x)\; =\; C\backslash ,\backslash exp\backslash left(-\backslash frac\; +\; i\; p\_0\; x\backslash right)$ where $C,x\_0,w\_0,p\_0$ are constants (a normalization constant, the center of the wavepacket, its width, and the expectation value of its momentum). The new feature relative to a coherent state is the free value of the width $w\_0$, which is the reason why the state is called "squeezed". The squeezed state above is an eigenstate of a linear operator :$\backslash hat\; x\; +\; i\backslash hat\; p\; w\_0^2$ and the corresponding eigenvalue equals $x\_0+ip\_0\; w\_0^2$. In this sense, it is a generalization of the ground state as well as the coherent state. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「squeezed coherent state」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.