中国物理B ›› 2016, Vol. 25 ›› Issue (8): 80301-080301.doi: 10.1088/1674-1056/25/8/080301
• GENERAL • 下一篇
Salim Medjber, Hacene Bekkar, Salah Menouar, Jeong Ryeol Choi
Salim Medjber1, Hacene Bekkar2, Salah Menouar3, Jeong Ryeol Choi4
摘要: The relationship between quantum mechanics and classical mechanics is investigated by taking a Gaussian-type wave packet as a solution of the Schrödinger equation for the Caldirola-Kanai oscillator driven by a sinusoidal force. For this time-dependent system, quantum properties are studied by using the invariant theory of Lewis and Riesenfeld. In particular, we analyze time behaviors of quantum expectation values of position and momentum variables and compare them to those of the counterpart classical ones. Based on this, we check whether the Ehrenfest theorem which was originally developed in static quantum systems can be extended to such time-varying systems without problems.
中图分类号: (Quantum mechanics)