三个非全同耦合谐振子哈密顿量的退耦合

Diagonalization of Hamiltonian for three harmonically coupled non-identical oscillators

对于哈密顿量为H =∑3i=112mip2 i+12 k1(q2 -q1-q0 ) 2 +12 k2 (q3 -q2 -q0 ) 2 的三个非全同耦合谐振子 ,我们找到一个方法使其对角化 ,给出了体系坐标和动量的变换式 .

For three harmonically coupled non identical oscillators whose Hamiltonian is given by H=∑3i=112m ip 2 i+12k 1(q 2-q 1-q 0) 2+12k 2(q 3-q 2-q 0) 2,a method for diagonalizing the Hamiltonian is found.And the transforming equations of position and momentum are given.