A new form of path integral for the coherent states representation and its semiclassical limit
A new form of path integral for the coherent states representation and its semiclassical limit
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相干态表示的一种新的路径积分形式及其半经典极限
DOI：
10.1590/s0103-97332005000100015
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发表时间：
2004
影响因子：
1.6
通讯作者：
M. D. Aguiar
中科院分区：
文献类型：
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作者：
Luis Santos;M. D. Aguiar
相干态基的过完备性导致了费曼路径积分表示的多样性。这些不同的表示虽然在量子力学上是等价的，但却导致了不同的半经典极限。对于Klauder和Skagerstan在文[2]中提出的两种相应的路径积分形式，文[1]导出了两个这样的半经典公式。这些公式中的每一个都涉及由哈密顿算子的不同经典表示所控制的轨迹：一种情况下是P表示，另一种情况下是Q表示。本文构造了路径积分的第三种表示，它的半经典极限直接涉及Hamilton算子的Weyl表示，经典哈密顿量本身。
The overcompleteness of the coherent states basis leads to a multiplicity of representations of Feynman's path integral. These different representations, although equivalent quantum mechanically, lead to different semiclassical limits. Two such semiclassical formulas were derived in [1] for the two corresponding path integral forms suggested by Klauder and Skagerstan in [2]. Each of these formulas involve trajectories governed by a different classical representation of the Hamiltonian operator: the P representation in one case and the Q representation in other. In this paper we construct a third representation of the path integral whose semiclassical limit involves directly the Weyl representation of the Hamiltonian operator, i.e., the classical Hamiltonian itself.
DOI：
--
发表时间：
2007
期刊：
影响因子：
--
作者：
N.;Kumano-go・D.;Fujiwara;Akihiro Shimomura;T.Suzuki;Naoto Kumano-go;T.Suzuki;Naoto Kumanogo;Naoyasu Kita;T.Suzuki;Jun-ichi Segata;Naoto Kumano-go;T.Suzuki;T.Suzuki;熊ノ郷直人;Jun-ichi Segata and Akihiro Shimomura;Akihiro Shimomura and Yoshio Tsutsumi;T.Suzuki;Naoto Kumano-go;Akihiro Shimomura;T. Suzuki;熊ノ郷直人;T. Suzuki;Akihiro Shimomura;T. Suzuki;Akihiro Shimomura;熊ノ郷直人;Naoto Kumano-go
通讯作者：
Naoto Kumano-go