Nonadditive quantum mechanics as a Sturm–Liouville problem

João P. M. Braga () and Raimundo N. Costa Filho
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João P. M. Braga: Instituto de Ciências Exatas e da Natureza-ICEN, Universidade da Integração Internacional da Lusofonia Afro-Brasileira-UNILAB, Campus dos Palmares, 62785-000 Acarape, Ceará, Brazil
Raimundo N. Costa Filho: Departamento de Física, Universidade Federal do Ceará, Caixa Postal 6030, Campus do Pici, 60455-760 Fortaleza, Ceará, Brazil

International Journal of Modern Physics C (IJMPC), 2016, vol. 27, issue 04, 1-8

Abstract: The modified Schrödinger equation obtained by Costa Filho et al. [Phys. Rev. A 84, 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: Quantum mechanics; Sturm–Liouville (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1142/S0129183116500479

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