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A note on the V=A/x2+Bx2 potential

✍ Scribed by C.J. Ballhausen

Publisher: Elsevier Science
Year: 1988
Tongue: English
Weight: 199 KB
Volume: 146
Category: Article
ISSN: 0009-2614
DOI: 10.1016/0009-2614(88)87476-1

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✦ Synopsis

The occurrence of equidistant energy levels in the one-dimensional potential V=A/x2 tBx2 is explained by projecting the Hamiltonian of a multi-dimensional harmonic oscillator onto one dimension. Furthermore for a limited range of negative values of A this potential produces sets of equidistant equispaced doublets, resulting from the particle "'jumping" across the infinitely deep potential well.

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