International Journal of Theoretical Physics

, Volume 26, Issue 10, pp 981–989 | Cite as

Functional approach to scattering in quantum mechanics

  • Edward B. Manoukian


A functional approach to scattering theory in quantum mechanics is developed by deriving an explicit functional expression fortransition amplitudes. In applications, the formalism avoids dealing with noncommutativity problems of operators, solving the Schrödinger equation (or the integral equation of the Green's function), or dealing with the often quite complicated continual (path) integrals and, most importantly, applies to short- and long-range interactions. The basic idea is the use of the quantum action principle followed by a systematic analysis of the concept of an intervening source developed earlier in the study of stimulated emission. A comparison with the standard approach is also made.


Field Theory Integral Equation Elementary Particle Quantum Field Theory Quantum Mechanic 
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Copyright information

© Plenum Publishing Corporation 1987

Authors and Affiliations

  • Edward B. Manoukian
    • 1
  1. 1.Department of National DefenceRoyal Military College of CanadaKingstonCanada

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