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PENG Yan ze, PENG Song qing, FAN Tian you, SUN Ying fei. Exact Wave Function and Coherent States for a Time-Dependent Harmonic Oscillator[J]. JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2002, 11(1): 101-104.
Citation: PENG Yan ze, PENG Song qing, FAN Tian you, SUN Ying fei. Exact Wave Function and Coherent States for a Time-Dependent Harmonic Oscillator[J].JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2002, 11(1): 101-104.
shu

Exact Wave Function and Coherent States for a Time-Dependent Harmonic Oscillator

  • 1.

    Department of Applied Physics, Beijing Institute of Technology, Beijing100081, China

  • 2.

    Jishou Railway Station, Jishou, Hunan416000, China

  • 3.

    Department of Automation, Tsing hua U niversity,Beijing 100084,China

Funds:theNationalNaturalScienceFoundation(K19972011)
  • Received Date:2001-05-31
    Abstract
  • By using a trial wave function, the exact wave function for a harmonic oscillator with time? dependent mass, frequency, damping and driving is obtained. And then by defining a unitary operator, coherent states for the system of interest are found. These coherent states have most, but not all, of the properties the time independent oscillator. And all the results obtained can be reduced to the usual ones when both the mass and frequency are constants and the driving is absent.
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    • References (17)
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