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- Title
Calculation of the energy eigenvalues of the Yukawa potential via variation principle.
- Authors
Yazdankish, E.
- Abstract
The Yukawa potential has an important and significant rule in some branches of physics such as nuclear, plasma and solid state. However, there is no analytical solution for Schrödinger equation with this potential without approximation, therefore, other ways, such as numerical, perturbation, variation and so on, are taken to deal with this potential. In this work, the variation principle is taken to obtain some of its energy eigenvalues. In the arbitrary l -state, the Yukawa potentials with centrifugal term are taken together as effective potential and then by choosing the wave functions of the Hulthen potential as trial function which are obtained in this work from the Nikiforov–Uvarov method, and then by applying the variation principle, the energy eigenvalues are obtained. After that, the result is compared with the former numerical result. The comparison shows excellent agreement between our result and the former numerical ones.
- Subjects
EIGENVALUES; NUCLEAR physics; WAVE functions; PSEUDOPOTENTIAL method; POTENTIAL functions; QUANTUM Monte Carlo method; SCHRODINGER equation
- Publication
International Journal of Modern Physics E: Nuclear Physics, 2020, Vol 29, Issue 9, pN.PAG
- ISSN
0218-3013
- Publication type
Article
- DOI
10.1142/S0218301320500676