| title : |
Spectral study of some problems in quantum mechanics : Submitted for the degree of Doctorate LMD |
| Type de document : |
electronic document |
| Auteur : |
Ladjeroud Amal, Author ; Abdelouahab Mohammed Salah(Chairman),Boudjedaa Badredine(Supervisor),Bououden Rabah(Examiner), Author |
| Editeur : |
المركز الجامعي عبد الحفيظ بوالصوف -ميلة |
| Date de publication : |
2025 |
| Nombre de pages : |
133p. |
| Dimensions : |
PDF |
| Matériel d'accompagnement : |
قرص مضغوط |
| ISBN (ou autre code) : |
D.N51009 |
| Langue : |
English (eng) Langue originale : English (eng) |
| Mots clé : |
Schrӧdinger equation, the generalized Cornell potential, quasi-exactly solvable problems, :
Morse potential, the generalized Pӧschl-Teller potential, Yukawa class potential, Schiӧberg
potential, Manning-Rosen potential, biconfluent Heun’s equation, approximate bound states |
| Résumé : |
In this thesis, we resolved Schrӧdinger equation spectral problem, for few central potentials, a single potential is the sum of the generalized Cornell potential plus an exponential potential,in the framework of quasi-exactly solvable problems. The exponential potentials that were treated are : Morse potential, the generalized Pӧschl-Teller potential, Yukawa class potential,Schiӧberg potential and Manning-Rosen potential. After inserting the central potential in the radial equation, the effective potential became a combination of terms that made the resolution of the radial equation not trivial to find, for this purpose, an approximation scheme was used to transform the radial equation into the normal form of biconfluent Heun’s equation, where the solutions are known, hence the approximate bound states of Schrӧdinger
equation and their energy eigenvalues are obtained in explicit form. At the end, for given values of the parameters, some of the approximate bound states and their energy levels were given. |
| Lien vers la ressource électronique : |
https://syngeb.univ-mila.dz/fr/opac/result_details/949232 |
Spectral study of some problems in quantum mechanics : Submitted for the degree of Doctorate LMD [electronic document] / Ladjeroud Amal, Author ; Abdelouahab Mohammed Salah(Chairman),Boudjedaa Badredine(Supervisor),Bououden Rabah(Examiner), Author . - المركز الجامعي عبد الحفيظ بوالصوف -ميلة, 2025 . - 133p. ; PDF + قرص مضغوط. ISSN : D.N51009 Langue : English ( eng) Langue originale : English ( eng)
| Mots clé : |
Schrӧdinger equation, the generalized Cornell potential, quasi-exactly solvable problems, :
Morse potential, the generalized Pӧschl-Teller potential, Yukawa class potential, Schiӧberg
potential, Manning-Rosen potential, biconfluent Heun’s equation, approximate bound states |
| Résumé : |
In this thesis, we resolved Schrӧdinger equation spectral problem, for few central potentials, a single potential is the sum of the generalized Cornell potential plus an exponential potential,in the framework of quasi-exactly solvable problems. The exponential potentials that were treated are : Morse potential, the generalized Pӧschl-Teller potential, Yukawa class potential,Schiӧberg potential and Manning-Rosen potential. After inserting the central potential in the radial equation, the effective potential became a combination of terms that made the resolution of the radial equation not trivial to find, for this purpose, an approximation scheme was used to transform the radial equation into the normal form of biconfluent Heun’s equation, where the solutions are known, hence the approximate bound states of Schrӧdinger
equation and their energy eigenvalues are obtained in explicit form. At the end, for given values of the parameters, some of the approximate bound states and their energy levels were given. |
| Lien vers la ressource électronique : |
https://syngeb.univ-mila.dz/fr/opac/result_details/949232 |
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