monodromy
常見(jiàn)例句
- They showed that the generating transformation of the monodromy group can be preseribed arbitrarily.
他們?cè)^明了産生單值群的變換可以任意地預(yù)先指定。 - They showed that the generating transformation of the monodromy group can be prescribed arbitrarily.
他們?cè)^明了産生單值群的變換可以任意地預(yù)先指定。 - Thus, the integrability of the system is proved. We list the commutation relations among the elements of such monodromy matrix through the Yang-Baxter equation.
然後由Yang-Baxter方程給出monodromy矩陣的各矩陣元之間所滿足的代數(shù)關(guān)系,利用Bethe Ansatz方法對(duì)哈密頓量進(jìn)行對(duì)角化,可求出系統(tǒng)的本征植和本征矢量。 - By expanding the Yang-Baxter relation and the reflection equation, we obtain the commutation relations of the elements of the double-row monodromy matrix.
在此基礎(chǔ)上,從頂點(diǎn)模型的觀點(diǎn)出發(fā),我們利用Yang-Baxter方程和邊界反射方程給出了雙行monodromy矩陣的矩陣元之間的對(duì)易關(guān)系。 - And by using the quantum inverse scattering method, it has been shown that the monodromy matrix satisfies the quantum Yang-Baxter equation(QYBE) on both a finite interval and an infinite interval. So the integrability of this model is proved.
文章由一個(gè)推廣的Lax pair表述形式出發(fā),導(dǎo)出了推廣的多分量費(fèi)米型量子DNLS模型的哈密頓量; 利用量子反散射方法,找到了由Lax矩陣定義的monodromy矩陣在有限間隔和無(wú)限間隔情況下所滿足的量子Yang-Baxter方程(QYBE),從而証明了模型的可積性; - Through the commutation relations among the elements of monodromy matrix listed by the quantum the Yang-Baxter equation , the eigenvalues and the eigenvectors of the model can also be obtained.
文章最後指出,由量子Yang-Baxter關(guān)系可以得到monodromy矩陣的所有矩陣元所滿足的代數(shù)關(guān)系,通過(guò)這些代數(shù)關(guān)系便可準(zhǔn)確求解系統(tǒng)的本征值與本征函數(shù)。 返回 monodromy