Comment on ``On Existence of a Biorthonormal Basis Composed of Eigenvectors of Non-Hermitian Operators [quant-ph/0603075]''

Details Comment on ``On Existence of a Biorthonormal Basis Composed of Eigenvectors of Non-Hermitian Operators [quant-ph/0603075]'' Comment on ``On Existence of a Biorthonormal Basis Composed of Eigenvectors of Non-Hermitian Operators [quant-ph/0603075]''

2006-03-10

arxiv.org/abs/quant-ph/0603096v1

Physics

Quantum Physics

2 pages

Scientific paper

We point out that T. Tanaka's recent criticism [quant-ph/0603075] of the
results of J. Math. Phys. 43, 3944 (2002) [math-ph/0203005] is based on an
assumption which was never made in the latter paper, namely that the
diagonalizability of an operator implies that it is normal. Therefore, Tanaka's
objections regarding this paper are not valid.

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