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Nonperturbative treatment of singular potentials (1994)

Miller, H. G.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 35 (1994), S. 2229-2232

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ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: A nonperturbative but absolutely convergent algorithm is applied to the determination of the eigenfunctions of Hamiltonian with a singular potential of the form H=−d2/dx2+x2+λ/xα in the domain [0, ∞] which obey Dirichlet boundary conditons. The formal structure of the algorithm is identical to that of the Lanczos algorithm when it is formally extended to self-adjoint operators.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.530548

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