Abstract
The introduction of approximations to evaluate physical properties of few- or many-body systems may violate exact symmetries and conservation laws. If, for example, the numberN of particles is incorrectly reproduced by the approximation, it can be shown that the optical potential for scattering of charged particles exhibits a spurious long-range potential. It is suggested to correct forN by introducing a particle-number-dependent interaction into the Hamiltonian, which does not influence exact results but changes the results of the approximation. The interaction is such that the original working equations of the approximation scheme undergo a trivial change only. As an example a simple model is investigated. It is found that restoringN also substantially improves all observables of the system.
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Weikert, H.G., Cederbaum, L.S. Particle-number-dependent theory of few- and many-body systems. Few-Body Systems 2, 33–51 (1987). https://doi.org/10.1007/BF01078990
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DOI: https://doi.org/10.1007/BF01078990