Application of the N-quantum approximation method to bound-state problems.I

Raychaudhuri, Amitava (1978) Application of the N-quantum approximation method to bound-state problems.I Physical Review D - Particles, Fields, Gravitation and Cosmology, 18 (12). pp. 4658-4672. ISSN 1550-7998

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Official URL: http://prd.aps.org/abstract/PRD/v18/i12/p4658_1

Related URL: http://dx.doi.org/10.1103/PhysRevD.18.4658

Abstract

The N-quantum approximation (NQA) is examined in the light of its application to the bound state of two scalar particles with scalar exchange. Bound-state wave functions are obtained as expansion coefficients in a truncated Haag expansion. An integral equation satisfied by the wave function is derived from the equations of motion for the Heisenberg fields and the NQA expansions. In the nonrelativistic limit the equation is shown to properly reduce to the Schrödinger equation. The equation is simplified by two different methods and then solved numerically. The results are compared with other calculations.

Item Type:Article
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Deposited On:10 Jun 2011 14:22
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