Approximate Solution of Schrödinger Equation with Pseudo-Gaussian Potential Viewed as a Perturbation
We consider the Schrödinger equation with pseudo-Gaussian potential and point out that it is basically made up by a term representing the harmonic oscillator potential and an additional term, which is actually a power series that converges rapidly. Based on this observation the system can be conside...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2015-12-01
|
| Series: | Annals of West University of Timisoara: Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/awutp-2015-0202 |
| _version_ | 1797968963902111744 |
|---|---|
| author | Iacob Theodor-Felix Lute Marina Iacob Felix |
| author_facet | Iacob Theodor-Felix Lute Marina Iacob Felix |
| author_sort | Iacob Theodor-Felix |
| collection | DOAJ |
| description | We consider the Schrödinger equation with pseudo-Gaussian potential and point out that it is basically made up by a term representing the harmonic oscillator potential and an additional term, which is actually a power series that converges rapidly. Based on this observation the system can be considered as a perturbation of harmonic oscillator. The perturbation method is used to approximate the energy levels of pseudo- Gaussian oscillator. The results are compared with those obtained in the analytic and numeric case. |
| first_indexed | 2024-04-11T02:54:46Z |
| format | Article |
| id | doaj.art-057d5976e83c46e39e4100c54c5d2081 |
| institution | Directory Open Access Journal |
| issn | 1224-9718 |
| language | English |
| last_indexed | 2024-04-11T02:54:46Z |
| publishDate | 2015-12-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Annals of West University of Timisoara: Physics |
| spelling | doaj.art-057d5976e83c46e39e4100c54c5d20812023-01-02T15:24:24ZengSciendoAnnals of West University of Timisoara: Physics1224-97182015-12-0158171310.1515/awutp-2015-0202awutp-2015-0202Approximate Solution of Schrödinger Equation with Pseudo-Gaussian Potential Viewed as a PerturbationIacob Theodor-Felix0Lute Marina1Iacob Felix2West University of Timişoara 300223 V. Pârvan Ave 4, Timişoara, RomaniaPolitehnica University of Timişoara, 300223 Traian Lalescu 2, Timişoara RomaniaWest University of Timişoara 300223 V. Pârvan Ave 4, Timişoara, RomaniaWe consider the Schrödinger equation with pseudo-Gaussian potential and point out that it is basically made up by a term representing the harmonic oscillator potential and an additional term, which is actually a power series that converges rapidly. Based on this observation the system can be considered as a perturbation of harmonic oscillator. The perturbation method is used to approximate the energy levels of pseudo- Gaussian oscillator. The results are compared with those obtained in the analytic and numeric case.https://doi.org/10.1515/awutp-2015-0202quantum mechanicsgaussian potentialperturbation theoryenergy levels |
| spellingShingle | Iacob Theodor-Felix Lute Marina Iacob Felix Approximate Solution of Schrödinger Equation with Pseudo-Gaussian Potential Viewed as a Perturbation Annals of West University of Timisoara: Physics quantum mechanics gaussian potential perturbation theory energy levels |
| title | Approximate Solution of Schrödinger Equation with Pseudo-Gaussian Potential Viewed as a Perturbation |
| title_full | Approximate Solution of Schrödinger Equation with Pseudo-Gaussian Potential Viewed as a Perturbation |
| title_fullStr | Approximate Solution of Schrödinger Equation with Pseudo-Gaussian Potential Viewed as a Perturbation |
| title_full_unstemmed | Approximate Solution of Schrödinger Equation with Pseudo-Gaussian Potential Viewed as a Perturbation |
| title_short | Approximate Solution of Schrödinger Equation with Pseudo-Gaussian Potential Viewed as a Perturbation |
| title_sort | approximate solution of schrodinger equation with pseudo gaussian potential viewed as a perturbation |
| topic | quantum mechanics gaussian potential perturbation theory energy levels |
| url | https://doi.org/10.1515/awutp-2015-0202 |
| work_keys_str_mv | AT iacobtheodorfelix approximatesolutionofschrodingerequationwithpseudogaussianpotentialviewedasaperturbation AT lutemarina approximatesolutionofschrodingerequationwithpseudogaussianpotentialviewedasaperturbation AT iacobfelix approximatesolutionofschrodingerequationwithpseudogaussianpotentialviewedasaperturbation |