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Generalized PT symmetry and real spectra

par Bender, Carl M.;Berry, Michael;Mandilara, Aikaterini
Référence Journal of Physics A: Mathematical and Theoretical, 35, 31, L467
Publication Publié, 2002-08

Article révisé par les pairs

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Résumé :

The fact that eigenvalues of PT-symmetric Hamiltonians H can be real for some values of a parameter and complex for others is explained by showing that the matrix elements of H, and hence the secular equation, are real, not only for PT but also for any antiunitary operator A satisfying A^2k = 1 with k odd. The argument is illustrated by a 2 × 2 matrix Hamiltonian, and two examples of the generalization are given.