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## Open Physics

2014 | 12 | 4 | 256-265
Tytuł artykułu

### Exact solution of D-dimensional Schrödinger equation generated from certain central power-law potentials

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EN
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EN
By applying Extended Transformation method we have generated exact solution of D-dimensional radial Schrödinger equation for a set of power-law multi-term potentials taking singular potentials $$V(r) = ar^{ - \tfrac{1} {2}} + br^{ - \tfrac{3} {2}}$$, $$V(r) = ar^{\tfrac{2} {3}} + br^{ - \tfrac{2} {3}} + cr^{ - \tfrac{4} {3}}$$, V(r) = ar + br −1 + cr 2 and V(r) = ar 2+br −2+cr −4+dr −6 as input reference. The restriction on the parameters of the given potentials and angular momentum quantum number ℓ are obtained. The multiplet structure of the generated exactly solvable potentials are also shown.
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EN
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Tom
Numer
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256-265
Opis fizyczny
Daty
wydano
2014-04-01
online
2014-04-23
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Bibliografia
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