The one-dimensional Schrodinger equation is solved for a new class of potentials with varying depths and shapes. The energy eigenvalues are given in algebraic form as a function of the depth and shape of the potential. The eigenfunctions and scattering function are also given in closed form. For ce
✦ LIBER ✦
Solvable one-dimensional Schrödinger equations and equations of Fuchsian type
✍ Scribed by L. Trlifaj
- Book ID
- 112568626
- Publisher
- Springer
- Year
- 1985
- Tongue
- English
- Weight
- 656 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0011-4626
No coin nor oath required. For personal study only.
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The three-dimensional Schriidinger equation with an effective mass is solved for a new class of angular momentum dependent potentials with varying depths and shapes. The energy eigenvalues and resonances are given in algebraic form as a function of the effective mass and depth and shape of the poten