Thermal state of the general time-dependent harmonic oscillator

Pramana

Jeong-Ryeol Choi1¹ 

[1] Department of Electronic Physics, College of Natural Science, Hankuk University of Foreign Studies, Yongin 449-791, Korea$$

关键词: Time-dependent harmonic oscillator;    thermal state;    density operator.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

Taking advantage of dynamical invariant operator, we derived quantum mechanical solution of general time-dependent harmonic oscillator. The uncertainty relation of the system is always larger than ħ=2 not only in number but also in the thermal state as expected. We used the diagonal elements of density operator satisfying Leouville–von Neumann equation to calculate various expectation values in the thermal state. We applied our theory to a special case which is the forced Caldirola–Kanai oscillator.

【 授权许可】

Unknown