On the completeness of Wiegmann's solution to the Kondo problem

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Abstract
The recent solution by Wiegmann of the Kondo problem is re-examined to some detail. Special attention is paid to the problem of completeness which is essential to thermodynamic calculations. After obtaining the most general solution to the Kondo Hamiltonian, it is proved rigorously that solutions obtained with the Bethe ansatz do form a complete set. It is also shown that the Wiegmann solutions, being a subset of the Bethe solutions, are not complete although they are obtainable from the latter via some physical arguments.