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Quantum solution for the biharmonic oscillator

 

作者: W. Edward Gettys,   H. W. Graben,  

 

期刊: American Journal of Physics  (AIP Available online 1975)
卷期: Volume 43, issue 7  

页码: 626-629

 

ISSN:0002-9505

 

年代: 1975

 

DOI:10.1119/1.9763

 

出版商: American Association of Physics Teachers

 

数据来源: AIP

 

摘要:

The quantum‐mechanical solution for the biharmonic oscillator is presented. This one‐dimensional asymmetric oscillator is described by the potential energy function V(x)  = mω12x2/2, x ≳ 0, and V(x)  = mω22x2/2, x < 0. One of the more interesting features of the solution is that the energy levels are very nearly equally spaced. The biharmonic oscillator provides a relatively simple model for systems which lack the symmetry of the harmonic oscillator.

 

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