ua nt - p h / 99 01 03 7 v 1 1 5 Ja n 19 99 The Exact Solution to the Schrödinger Equation with the Octic Potential
نویسندگان
چکیده
The Schrödinger equation with the central potential is first studied in the arbitrary dimensional spaces and obtained an analogy of the two-dimensional Schrödinger equation for the radial wave function through a simple transformation. As an example, applying an ansatz to the eigenfunctions, we then arrive at an exact closed form solution to the modified two-dimensional Schrödinger equation with the octic potential, V (r) = ar − br + cr − dr + er. PACS numbers: 03. 65. Ge. ∗Electronic address: DONGSH@HPTC5. IHEP. AC. CN
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