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[en] The scattering of plane waves by irregularities in discrete media is studied within the context of multiple scattering formalism. The scattered wave function can be expanded in a power series which contain contributions from single, double, triple scattering, etc. The expansion is analogous to the Born Approximation with the scattering potential replaced by a renormalized one. (author)
[en] This paper discusses the two main issues of the so called quantum debate, that started in 1927 with the famous Bohr-Einstein controversy; namely non-separability and the projection postulate. Relevant interpretations and formulations of quantum mechanics are critically analyzed in the light of the said issues. The treatment is focused chiefly on fundamental points, so that technical ones are practically not dealt with here. (Author) 20 refs
[en] Resummation of the perturbative series for the amplitude of lepton pair production in nucleus-nucleus collisions is performed based on the Watson theorem and the hypothesis of infrared stability. An explicit expression for this amplitude is obtained, which is valid to within terms of the ninth order in the fine structure constant.
[en] We consider a differential operator of order four with three coefficients which may be complex valued. We prove that the Born approximation can be used efficiently to recover essential information about a combination of the coefficients from the knowledge of the reflection coefficient. Numerical examples illustrate the feasibility of this method. (paper)
[en] Full text: In spite of the success of quantum mechanics there still remains a lot we do not understand about the theory. Therefore it is important to have empirical verification of the fundamental postulates of quantum mechanics. In this experiment we have set out to test Born's rule, which interprets probability as the modulus squared of the wavefunction. This has been indirectly verified. Yet, to our knowledge, this is the first proposed experiment directly testing this postulate of quantum mechanics. Analogous to how Youngs double slit experiment expresses a deviation from the classical additivity of the probabilities of two mutually exclusive events. This experiment looks for deviations from the quantum mechanical triadditivity of three mutually exclusive events. This means we are looking for a 'three-path interference' that can not be explained by Born's rule, and we hope to put an upper bound on any such possible deviation from Born's rule. (author)