GROUND-STATE-ENERGY OF SINGULAR POTENTIALS
Contribuinte(s) |
Universidade Estadual Paulista (UNESP) |
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Data(s) |
20/05/2014
20/05/2014
01/02/1994
|
Resumo |
It is shown that for singular potentials of the form lambda/r(alpha),the asymptotic form of the wave function both at r --> infinity and r --> 0 plays an important role. Using a wave function having the correct asymptotic behavior for the potential lambda/r(4), it is, shown that it gives the exact ground-state energy for this potential when lambda --> 0, as given earlier by Harrell [Ann. Phys. (NY) 105, 379 (1977)]. For other values of the coupling parameter X, a trial basis;set of wave functions which also satisfy the correct boundary conditions at r --> infinity and r --> 0 are used to find the ground-state energy of the singular potential lambda/r(4) It is shown that the obtained eigenvalues are in excellent agreement with their exact ones for a very large range of lambda values. |
Formato |
1477-1479 |
Identificador |
http://dx.doi.org/10.1103/PhysRevA.49.1477 Physical Review A. College Pk: American Physical Soc, v. 49, n. 2, p. 1477-1479, 1994. 1050-2947 http://hdl.handle.net/11449/37721 10.1103/PhysRevA.49.1477 WOS:A1994MW35200105 WOSA1994MW35200105.pdf |
Idioma(s) |
eng |
Publicador |
American Physical Soc |
Relação |
Physical Review A |
Direitos |
closedAccess |
Tipo |
info:eu-repo/semantics/article |