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Behavior of the Dirichlet boundary for wave functions in a class of singular potentials
Author(s) -
Bandyopadhyay S. K.,
Bhattacharyya K.
Publication year - 2005
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.20735
Subject(s) - wave function , class (philosophy) , dirichlet distribution , dirichlet boundary condition , boundary (topology) , boundary value problem , quantum , mathematics , mathematical analysis , pure mathematics , physics , quantum mechanics , computer science , artificial intelligence
Variational studies on spiked oscillators with the potential form x 2 + λ/ x β in [0, ∞) reveal certain limitations of the conventional choices for wave functions in the β ≥ 2 regime. A careful analysis shows the necessity of properly incorporating the Dirichlet boundary condition at x = 0. Subsequent pilot calculations on this notion perform nicely, justifying the worth of the endeavor. © 2005 Wiley Periodicals, Inc. Int J Quantum Chem, 2006