Quantum harmonic oscillator with time-dependent mass and frequency |
| |
| Authors: | Ding Sheng R D Khan Zhang Jialun Shen Wenda |
| |
| Institution: | (1) Department of Physics, Shanghai University of Science and Technology, 201800 Shanghai, China |
| |
| Abstract: | The quantum harmonic oscillator with time-dependent mass and frequency is analyzed by using the canonical transformation method. The varying mass and frequency of the system are reduced to constant mass and frequency, and the corresponding eigenvalues and eigenvectors are derived. The exact time-dependent coherent state of the harmonic oscillator is constructed and shown to be equivalent to the squeezed state. Damped harmonic oscillators with different frictions and forced time-dependent harmonic oscillators are also discussed. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
