Abstract
Some relativistic integral equations of the three-dimensional single-time approach for bound state problem in quantum field theory are investigated. The relativistic potential is chosen as a local in the momentum Lobachevsky space one. Partial expansion of such three-dimensional equations is made. It is shown that the one-dimensional partial integral equations for considered potential can be reduced to Sturm-Liouville problems. The differential equations of such Sturm-Liouville problems in the momentum representation have the form of the Schri5dinger equation in the coordinate representation.
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Kapshai, V. (2002). Integral Equations of Relativistic Bound State Theory and Sturm-Liouville Problem. In: Albeverio, S., Elander, N., Everitt, W.N., Kurasov, P. (eds) Operator Methods in Ordinary and Partial Differential Equations. Operator Theory: Advances and Applications, vol 132. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8219-4_15
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DOI: https://doi.org/10.1007/978-3-0348-8219-4_15
Publisher Name: Birkhäuser, Basel
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