A simple approximation for eigenvalues in quantum theory

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Abstract
An approximation method for the determination of energy levels in quantum theory is discussed which starts from a scaled set of eigenstates of a solvable model. It is shown that the lowest approximation fulfils certain relations which also hold exactly. The approximation is tested by comparison with numerically computed eigenvalues in several cases. The errors turn out to be moderate in most of these and depend very little on typical coupling constants.