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Ground state energy bounds for potentials ‖x‖ν
Journal article   Peer reviewed

Ground state energy bounds for potentials ‖x‖ν

R. E Crandall and Mary Hall Reno
Journal of mathematical physics, Vol.23(1), pp.64-70
01/1982
DOI: 10.1063/1.525207

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Abstract

A theory is developed from which both upper and lower analytic bounds on Schrödinger eigenvalues can be obtained. We propose a recursion algorithm with which ground energies for certain potentials can be rigorously bounded to arbitrary precision. These analytic and numerical methods, together with existing techniques, are applied to the ground state problem for power potentials |x|v, v > 0. © 1982 American Institute of Physics.

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