2004•Il Nuovo Cimento BRequires access

Canonical transformation on an open system

Qiankai Yao, Bing Ma, Xue-Chao Feng, Jun-Lan Feng, Demin Li

Abstract

A time-dependent Lagrangian is constructed. This time-dependent Lagrangian can help us to quantize the damped system in the frameworks of canonical quantization, and solve the non-autonomous quantum problem in different representations. We evaluate the measuring effect on the quantum system and find a linear canonical transformation between the original system and the measured one. Finally, the damped harmonic oscillator is discussed.

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Key concepts: Physics, Canonical transformation, Harmonic oscillator, Canonical quantization, Transformation (genetics), Quantization (signal processing), Lagrangian, Canonical coordinates