Behavior of the Dirichlet boundary for wave functions in a class of singular potentials | Zendy

Bandyopadhyay S. K. | Zendy; Bhattacharyya K. | Zendy

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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

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