Lower Bounds for the Spinless Salpeter Equation
- 10.2991/jnmp.2005.12.s1.8How to use a DOI?
We obtain lower bounds on the ground state energy, in one and three dimensions, for the spinless Salpeter equation (Schrödinger equation with a relativistic kinetic energy operator) applicable to potentials for which the attractive parts are in Lp (Rn ) for some p > n (n = 1 or 3). An extension to confining potentials, which are not in Lp (Rn ), is also presented.
- © 2006, the Authors. Published by Atlantis Press.
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Cite this article
TY - JOUR AU - Fabian Brau PY - 2005 DA - 2005/01/01 TI - Lower Bounds for the Spinless Salpeter Equation JO - Journal of Nonlinear Mathematical Physics SP - 86 EP - 96 VL - 12 IS - Supplement 1 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2005.12.s1.8 DO - 10.2991/jnmp.2005.12.s1.8 ID - Brau2005 ER -