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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 Quantum LC circuit ： ウィキペディア英語版 Quantum LC circuit An LC circuit can be quantized using the same methods as for the quantum harmonic oscillator. An LC circuit is a variety of resonant circuit, and consists of an inductor, represented by the letter L, and a capacitor, represented by the letter C. When connected together, an electric current can alternate between them at the circuit's resonant frequency: :$\backslash omega\; =\; \backslash sqrt$ where L is the inductance in henries, and C is the capacitance in farads. The angular frequency $\backslash omega\backslash ,$ has units of radians per second. A capacitor stores energy in the electric field between the plates, which can be written as follows: :$U\_C=\backslash frac\; C\; V^2\; =\backslash frac$ Where Q is the net charge on the capacitor, calculated as :$Q(t)\; =\; \backslash int\_^t\; I(\backslash tau)\; d\backslash tau$ Likewise, an inductor stores energy in the magnetic field depending on the current, which can be written as follows: :$U\_L=\backslash frac\; L\; I^2\; =\backslash frac$ Where $\backslash phi$ is the branch flux, defined as :$\backslash phi(t)\; \backslash equiv\; \backslash int\_^t\; V(\backslash tau)\; d\backslash tau$ Since charge and flux are canonically conjugate variables, one can use canonical quantization to rewrite the classical hamiltonian in the quantum formalism, by identifying :$\backslash phi\; \backslash rightarrow\; \backslash hat$ :$q\; \backslash rightarrow\backslash hat$ :$H\backslash rightarrow\backslash hat\; =\; \backslash frac\; +\; \backslash frac$ and enforcing the canonical commutation relation :$\backslash left(\backslash phi,\; q\backslash right)\; =\; i\backslash hbar$ ==One-dimensional harmonic oscillator== 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「Quantum LC circuit」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.