What happens to physics when complex PT symmetry matrix have normalised eigenfunctions in Hilberts space ?

11 July 2019 1 7K Report

@ All

If eigenfunctions of a (2×2) PT matrix

have normalised but non-orthogonal eigenfunctions . In that case it can have probably one symmetry operator .If C=P how to justify physics .

Biswanath Rath

@Aden Handasyde

It is necessary to read PRL paper of Bender , Brody and Jones in (2002)

then try to answer the question

Further one should be able to derive all the results of the paper before trying to answer the above questions .

Sorry C=\=P

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