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Generalized Perturbation Theory (GPT) Methods. A Heuristic Approach

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Advances in Nuclear Science and Technology

Part of the book series: Advances in Nuclear Science and Technology ((ANST,volume 19))

Abstract

Since the beginning of nuclear reactor physics studies, perturbation theory has played an important role. As well known, it was first proposed by Wigner(1) as early as 1945 to study fundamental quantities such as the reactivity worths of different materials. This first formulation, which we shall call CPT for conventional perturbation theory, is based on well known quantum mechanics concepts. Since that early proposal, significant contributions have been given to CPT by different authors. We remind, in particular, Soodak(2) who gave a heuristic interpretation of the adjoint function, viewed as proportional to the importance of the neutrons in relation to the asymptotic power of a critical, multiplying, system, and Usachev,(3) who derived a consistent CPT formulation including also the effective prompt neutron lifetime and the effective delayed neutron fraction.

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© 1987 Plenum Press, New York

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Gandini, A. (1987). Generalized Perturbation Theory (GPT) Methods. A Heuristic Approach. In: Lewins, J., Becker, M. (eds) Advances in Nuclear Science and Technology. Advances in Nuclear Science and Technology, vol 19. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-5299-0_4

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  • DOI: https://doi.org/10.1007/978-1-4684-5299-0_4

  • Publisher Name: Springer, Boston, MA

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