Variational Bound States of Screened Potentials



Título del documento: Variational Bound States of Screened Potentials
Revue: Brazilian journal of physics
Base de datos: PERIÓDICA
Número de sistema: 000379518
ISSN: 0103-9733
Autores: 1
2
3
4
Instituciones: 1City University of New York, Kingsborough College, Brooklyn, Nueva York. Estados Unidos de América
2Fordham University, Department of Physics and Engineering Physics, Bronx, Nueva York. Estados Unidos de América
3Drew University, Physics Department, Madison, New Jersey. Estados Unidos de América
4Chicago State University, Department of Chemistry and Physics, Chicago, Illinois. Estados Unidos de América
Año:
Periodo: Ago
Volumen: 44
Número: 4
Paginación: 305-307
País: Brasil
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Experimental, analítico
Resumen en inglés A number of years ago, a calculational scheme was introduced by Stubbins [Phys. Rev. A48, 220 (1993)] to compute the energies of both the Hulth´en and Yukawa potentials. The method introduces a particular ansatz for solving the Schr¨odinger equation with screened Coulomb type potentials. In this work, we wish to review the method of Stubbins and to show that it is, in fact, equivalent and a subset of a more systematic (and hence more useful) variational scheme [Zhou et al. Phys. Rev. A51, 3337 (1995)]. This variational approach involves the construction of a basis by taking derivatives of the variational parameters of the system. The eigenvalues of the Hamiltonian matrix are then minimized with respect to these parameters yielding a “best guess” upper bound on the energies
Disciplinas: Física y astronomía
Palabras clave: Física atómica y molecular,
Efecto de apantallamiento,
Potencial de Yukawa,
Método variacional
Keyword: Physics and astronomy,
Atomic and molecular physics,
Screened potential,
Yukawa potential,
Variational methods
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