Exact solution to the Schrödinger’s equation with pseudo-Gaussian potential
Journal Article
·
· Journal of Mathematical Physics
- West University of Timişoara, V. Pârvan 4, Timişoara 300223 (Romania)
- Politehnica University of Timişoara, Traian Lalescu 2, Timişoara 300223 (Romania)
We consider the radial Schrödinger equation with the pseudo-Gaussian potential. By making an ansatz to the solution of the eigenvalue equation for the associate Hamiltonian, we arrive at the general exact eigenfunction. The values of energy levels for the bound states are calculated along with their corresponding normalized wave-functions. The case of positive energy levels, known as meta-stable states, is also discussed and the magnitude of transmission coefficient through the potential barrier is evaluated.
- OSTI ID:
- 22479559
- Journal Information:
- Journal of Mathematical Physics, Vol. 56, Issue 12; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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