New Application of Weyl Correspondence in Studying Husimi Operator

• 来源期刊: 理论物理通讯(英文版)
• 年，卷（期）: 2008,（1）
• 页码范围: 69-72
• 页数: 4页
• 语种: 英文

摘要

In this paper, the so-calied Husimi operator Ah(q,p;k), which is introduced by smoothing out the Wigner operator △ω(q,p) by averaging over the "coarse graining" function exp[-k(q'-q)2 _ (p, _ p)2/k], is now regarded as a Weyl correspondence connecting the Husimi operator △h (q, p; a) with its classical correspondence, since the integration kernel is just the Wigner operator. In this way we can easily identify |p, q;k) such that Ah(q, p; k) = |p, q; k)(p, q; k|,where |p, q; k) is a new kind of squeezed coherent states. The entangled Husimi operator is also treated in this way. Thus a simple way to lind the Husimi operator is presented.