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Nonadditive quantum mechanics as a Sturm–Liouville problem
https://doi.org/10.1142/S0129183116500479Cited by:4 (Source: Crossref)
Abstract
The modified Schrödinger equation obtained by Costa Filho et al. [Phys. Rev. A84, 050102(R) (2011)] is shown to be a Sturm–Liouville problem. This demonstration guarantees that Hamiltonian eigenvalues obtained in this formalism are real. It also allows us to show that, regardless of the non-Hermitian characteristic of the Hamiltonian operator in the Hilbert space, its time evolution remains unitary.
Keywords:
PACS: 03.65.-w, 03.65.Ta, 03.65.Ca
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