Journal
PHYSICS LETTERS B
Volume 481, Issue 1, Pages 143-150Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/S0370-2693(00)00437-8
Keywords
renormalization; renormalization group; nonrelativistic scattering theory
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We propose a framework to renormalize the nonrelativistic quantum mechanics with arbitrary singular interactions. The scattering equation is written to have one or more subtraction in the kernel at a given energy scale. The scattering amplitude is the solution of a nth order derivative equation in respect to the renormalization scale, which is the nonrelativistic counterpart of the Callan-Symanzik formalism, Scaled running potentials for the subtracted equations keep the physics invariant fur a sliding subtraction point. An example of a singular potential, that requires more than one subtraction to renormalize the theory is shown. (C) 2000 Published by Elsevier Science B.V. All rights reserved.
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