Klein-Gordon lower bound to the semirelativistic ground-state energy
arXiv:0906.2001 · doi:10.1016/j.physleta.2010.03.006
Abstract
For the class of attractive potentials V(r) <= 0 which vanish at infinity, we prove that the ground-state energy E of the semirelativistic Hamiltonian H = \sqrt{m^2 + p^2} + V(r) is bounded below by the ground-state energy e of the corresponding Klein--Gordon problem (p^2 + m^2)ϕ= (V(r) -e)^2ϕ. Detailed results are presented for the exponential and Woods--Saxon potentials.
7 pages, 4 figures
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Cited by in corpus (4)
- Approximate Analytical Solutions to Relativistic and Nonrelativistic Pöschl-Teller Potential with its Thermodynamic Properties
- A semirelativistic treatment of spinless particles subject to the Yukawa potential with arbitrary angular momenta
- A semi-relativistic treatment of spinless particles subject to the nuclear Woods-Saxon potential
- Analytical Solution of two-body spinless Salpeter Equation for Hellmann Potential