Normal coordinate in harmonic crystal obtained by virtue of the classical correspondence of the invariant eigen-operator

作者：Meng Xiang Guo^*; Fan Hong Yi; Wang Ji Suo

来源：Chinese Physics B, 2010, 19(7): 070303.

• quantum impeller
• vibration spectrum
• invariant eigen-operator method

Noticing that the equation
d(2)O(n)/dt(2) = {H(c), {H(c), O(n)}} = lambda O(n)
with double-Poisson bracket, where O(n) is normal coordinate, H(c) is classical Hamiltonian, is the classical correspondence of the invariant eigen-operator equation (2004 Phys. Lett. A. 321 75), we can find normal coordinates in harmonic crystal by virtue of the invariant eigen-operator method.

• 出版日期2010-7
• 单位曲阜师范大学; 聊城大学