Abstract
The eigenstates of a diagonalizable PT-symmetric Hamiltonian satisfy unconventional completeness and orthonormality relations. These relations reflect the properties of a pair of bi-orthonormal bases associated with non-hermitean diagonalizable operators. In a similar vein, such a dual pair of bases is shown to possess, in the presence of PT symmetry, a Gram matrix of a particular structure: its inverse is obtained by simply swapping the signs of some its matrix elements.
| Original language | English |
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| Pages (from-to) | 147-49 |
| Number of pages | 3 |
| Journal | Czech J. Phys. |
| Volume | 54 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Jan 2004 |