Calculation of a bound state wavefunction using free state wavefunctions only
作者:
K. R. Brownstein,
期刊:
American Journal of Physics
(AIP Available online 1975)
卷期:
Volume 43,
issue 2
页码: 173-176
ISSN:0002-9505
年代: 1975
DOI:10.1119/1.9892
出版商: American Association of Physics Teachers
数据来源: AIP
摘要:
A pedagogical example is presented in which the completeness of the free state wavefunctions of a Hamiltonian can be explicitly checked. For certain values of the potential strength the free states prove to be complete. For other values of the potential strength the free states are shown to be incomplete and the extent of this incompleteness is shown to consist of precisely one function. Using the fact that the totality of all energy eigenfunctions must be complete, this single bound state wavefunction is calculated using the free state wavefunctions only.
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