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Acta Physica Sinica (Overseas Edition), 1999, Vol. 8(9): 641-645    DOI: 10.1088/1004-423X/8/9/001
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ANALYTIC SOLUTION FOR ONE-DIMENSIONAL QUANTUM OSCILLATOR WITH A VARIABLE FREQUENCY

Xu Xiu-wei (徐秀玮), Ren Ting-qi (任廷琦), Liu Sheng-dian (柳盛典)
Department of Physics, Yantai Teachers University, Yantai 264025, China
Abstract  According to generalized linear quantum transformation theory, we give the exact expression of the evolution operator, wave function and expectation value of observable quantity for one-dimensional quantum oscillator with a variable frequency: $\omega(t)=\frac{\omega_0}{1+\beta t}(\omega_0, \beta>0)$.
Received:  26 March 1999      Accepted manuscript online: 
PACS:  03.65.Ge (Solutions of wave equations: bound states)  
  02.30.Jr (Partial differential equations)  
  02.30.Tb (Operator theory)  
  42.50.-p (Quantum optics)  
Fund: Project supported by the Natural Science Foundation of Shandong Province, China (Grant No. Y95A0202).

Cite this article: 

Xu Xiu-wei (徐秀玮), Ren Ting-qi (任廷琦), Liu Sheng-dian (柳盛典) ANALYTIC SOLUTION FOR ONE-DIMENSIONAL QUANTUM OSCILLATOR WITH A VARIABLE FREQUENCY 1999 Acta Physica Sinica (Overseas Edition) 8 641

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