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We calculate the Witten index of a class of (non-Fredholm) Dirac-Schr\"odinger operators over R^d+1 for d 3 odd, and thus generalize known results for the case d=1. For a concrete example of the potential, we give a more explicit index formula, showing that the Witten index assumes any real number on this class of operators.
Oliver Fürst (Mon,) studied this question.
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