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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