Miloslav Znojil 2008 J. Phys. A: Math. Theor. 41 215304 doi:10.1088/1751-8113/41/21/215304
Identification of observables in quantum toboggans
Miloslav Znojil
Show affiliationsSchrödinger equations for 'quantum toboggans' with real energies are given the generalized eigenvalue-problem form Hψ = EWψ, where H ≠ H† and W ≠ W† ≠ I. The consistent probabilistic interpretation of these models is provided. The new double-series formula for the necessary ad hoc metric Θ = Θ(H, W) is derived which defines the acceptable inner products in the physical Hilbert space of states. The formula degenerates to the usual single series in the non-tobogganic trivial-weight limit W → I.
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Issue 21 (30 May 2008)
Received 4 March 2008, in final form 15 April 2008
Published 8 May 2008
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Identification of observables in quantum toboggans
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