Physics – Quantum Physics
Scientific paper
2008-03-04
J. Phys. A: Math. Theor. 41 (2008) 215304
Physics
Quantum Physics
25 pp
Scientific paper
10.1088/1751-8113/41/21/215304
Quantum systems with real energies generated by an apparently non-Hermitian Hamiltonian may re-acquire the consistent probabilistic interpretation via an ad hoc metric which specifies the set of observables in the updated Hilbert space of states. The recipe is extended here to quantum toboggans. In the first step the tobogganic integration path is rectified and the Schroedinger equation is given the generalized eigenvalue-problem form. In the second step the general double-series representation of the eligible metric operators is derived.
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