共查询到3条相似文献,搜索用时 0 毫秒
1.
New Convenient Way for Deriving Exponential Operators' Disentangling Formulas and Their Applications
FAN Hong-Yi HU Li-Yun 《理论物理通讯》2009,51(2):321-323
We recommend a new convenient method for disentangling some exponential operators and derive a set of new operator identities. Especially, we derive the normal odering form of exp [fa^+a + ga^2+ + ka^2] without appealing to Lie algebra method. Application of these formulas in solving some dynamic Hamiltonian is presented. 相似文献
2.
Noether's and Poisson's methods for solving differential equation xs^(m) = Fs(t,xk^(m-2) , xk(m-1) 下载免费PDF全文
This paper studies integration of a higher-order differential equation which can be reduced to a second-order ordinary differential equation. The solution of the second-order equation can be obtained by the Noether method and the Poisson method. Then the solution of the higher-order equation can be obtained by integrating the solution of the second-order equation. 相似文献
3.
In this paper, we introduce a new way to obtain the Q-P (P-Q) ordering of quantum mechanical operators, i.e., from the classical correspondence of Q-P (P-Q) ordered operators by replacing q and p with coordinate and momentum operators, respectively. Some operator identities are derived concisely. As for its applications, the single (two-) mode squeezed operators and Fresnel operator are examined. It is shown that the classical correspondence of Fresnel operator’s Q-P (P-Q) ordering is just the integration kernel of Fresnel transformation. In addition, a new photo-counting formula is constructed by the Q-P ordering of operators. 相似文献