Klein–Gordon hong-têng-sek

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Klein–Gordon方程式 (hong-têng-sek) (Klein-Gordon equation) ()相對論 (siong-tùi-lūn)量子 (liōng-chú)力學 (le̍k-ha̍k) (kap)量子場論 (tiûⁿ-lūn) (tiong) (siōng)基本 (ki-pún) (ê)方程式, (i)Schrödinger方程式特殊 (te̍k-sû)相對論形式 (hêng-sek)用來 (iōng-lâi)描述 (biâu-su̍t)spin 0粒子 (lia̍p-chú)。 Klein–Gordon方程式是瑞典 (Sūi-tián)理論 (lí-lūn)物理學 (bu̍t-lí-ha̍k) (ka)Oskar Klein德國 (Tek-kok)的Walter Gordon ()1920年代 (nî-tāi) (kàu)1930年代分別 (hun-pia̍t)獨立 (to̍k-li̍p)推導 (thui-tō) ͘出來 (chhut-lâi) ͘的。

描述[修改]

Klein–Gordon方程式是按呢 (án-ne):

解析失敗 (Chīn-liōng iōng MathML (chhì-giām-sèng--ê):從伺服器 "https://wikimedia.org/api/rest_v1/" 收到無效的回應 ("Math extension cannot connect to Restbase.")。): {\displaystyle \frac {1}{c^2} \frac{\partial^2}{\partial t^2} \psi - \nabla^2 \psi + \frac {m^2 c^2}{\hbar^2} \psi = 0}

(lán)定定 (tiāⁿ-tiāⁿ) (ē) (ēng)自然 (chū-jiân)單位 (tan-ūi) (chè) (c = <i id="mwGw">ħ</i> = 1) ()寫做 (siá-chò)

解析失敗 (Chīn-liōng iōng MathML (chhì-giām-sèng--ê):從伺服器 "https://wikimedia.org/api/rest_v1/" 收到無效的回應 ("Math extension cannot connect to Restbase.")。): {\displaystyle - \partial_t^2 \psi + \nabla^2 \psi = m^2 \psi}

共變 (Kiōng-piàn)形式[修改]

自由 (Chū-iû)粒子的Schrödinger方程式非相對論 (hui-siong-tùi-lūn)量子力學上基本的方程式:

解析失敗 (Chīn-liōng iōng MathML (chhì-giām-sèng--ê):從伺服器 "https://wikimedia.org/api/rest_v1/" 收到無效的回應 ("Math extension cannot connect to Restbase.")。): {\displaystyle \frac{\mathbf{p}^2}{2m} \psi = i \hbar \frac{\partial}{\partial t}\psi }

其中 (kî-tiong) 解析失敗 (Chīn-liōng iōng MathML (chhì-giām-sèng--ê):從伺服器 "https://wikimedia.org/api/rest_v1/" 收到無效的回應 ("Math extension cannot connect to Restbase.")。): {\displaystyle \mathbf{p} = -i \hbar \mathbf{\nabla}}運動量 (ūn-tōng-liōng)算符 (soàn-hû)

Schrödinger方程式 (tùi)相對論之下 (chi-hā)毋是 (m̄-sī)共變意思 (ì-sù) (tiō) (kóng) (bōe)滿足 (boán-chiok)Einstein特殊相對論

利用 (Lī-iōng)特殊相對論中四運動量 (sì-ūn-tōng-liōng) (ê)不變性 (put-piàn-sèng)推導 ͘出來的相對論性 (siong-tùi-lūn-sèng)能量 (lêng-liōng)運動量關係 (koan-hē)

解析失敗 (Chīn-liōng iōng MathML (chhì-giām-sèng--ê):從伺服器 "https://wikimedia.org/api/rest_v1/" 收到無效的回應 ("Math extension cannot connect to Restbase.")。): {\displaystyle E = \sqrt{\mathbf{p}^2 c^2 + m^2 c^4}}

共Schrödinger方程式倒手爿 (tò-chhiú-pêng)自由 (lia̍p) (chú)黨能 (tóng-lêng) 解析失敗 (Chīn-liōng iōng MathML (chhì-giām-sèng--ê):從伺服器 "https://wikimedia.org/api/rest_v1/" 收到無效的回應 ("Math extension cannot connect to Restbase.")。): {\displaystyle \frac{\mathbf{p}^2}{2m}} 換調 (ōaⁿ-tiāu)

將其尾 (chiong-kî-bóe) ()得著 (tit-tio̍h)伊的共變形式

解析失敗 (語法錯誤): {\displaystyle (\Box^2 + \mu^2) \psi = 0, }

其中 解析失敗 (Chīn-liōng iōng MathML (chhì-giām-sèng--ê):從伺服器 "https://wikimedia.org/api/rest_v1/" 收到無效的回應 ("Math extension cannot connect to Restbase.")。): {\displaystyle \mu = \frac{mc}{\hbar} \,}

D'Alembertian解析失敗 (Chīn-liōng iōng MathML (chhì-giām-sèng--ê):從伺服器 "https://wikimedia.org/api/rest_v1/" 收到無效的回應 ("Math extension cannot connect to Restbase.")。): {\displaystyle \Box^2 = \frac{1}{c^2}\frac{\partial^2}{\partial t^2} - \nabla^2\,}

(Koh) (khòaⁿ)[修改]

參考 (Chham-khó)資料 (chu-liāu)[修改]