SYSTEMATIC SEARCH OF EXACTLY SOLVABLE NON-CENTRAL POTENTIALS
نویسندگان
چکیده
منابع مشابه
Systematic Search of Exactly Solvable Non - Central Potentials
Recently developed supersymmetric perturbation theory has been successfully employed to make a complete mathematical analysis of the reason behind exact solvability of some non-central potentials. This investigation clarifies once more the effectiveness of the present formalism.
متن کاملSe p 20 04 Systematic Search of Exactly Solvable Non - Central Potentials
Recently developed supersymmetric perturbation theory has been successfully employed to make a complete mathematical analysis of the reason behind exact solvability of some non-central potentials. This investigation clarifies once more the effectiveness of the present formalism.
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We describe three di erent methods for generating quasi-exactly solvable potentials, for which a nite number of eigenstates are analytically known. The three methods are respectively based on (i) a polynomial ansatz for wave functions; (ii) point canonical transformations; (iii) supersymmetric quantum mechanics. The methods are rather general and give considerably richer results than those avai...
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ژورنال
عنوان ژورنال: Modern Physics Letters A
سال: 2005
ISSN: 0217-7323,1793-6632
DOI: 10.1142/s0217732305015963