Integral equation formulation of the spinless Salpeter equation

Abstract

The spinless Salpeter equation presents a rather particular differential operator. In this paper we rewrite this equation into integral and integro-differential equations. This kind of equations are well known and can be more easily handled. We also present some analytical results concerning the spinless Salpeter equation and the action of the square-root operator.

13 pages, no figure. ReVTeX file. To appear in J. MATH. PHYS

References in corpus (1)

• The 3-dimensional Fourier grid Hamiltonian method

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• Analytical solution of the relativistic Coulomb problem with a hard core interaction for a one-dimensional spinless Salpeter equation
• Scattering solutions of the spinless Salpeter equation
• On the coherent states for a relativistic scalar particle
• General form of the covariant field equations of arbitrary spin and the relativistic canonical quantum mechanics
• Tunneling dynamics of the relativistic Schrodinger/Salpeter equation