Related papers: $\mathcal{PT}$-Symmetric Generalized Extended Momentum Operator

$\mathcal{PT}$-Symmetric Generalized Extended Momentum Operator

URL: http://arxiv.org/abs/2006.02843v1
Date: Thu, 4 Jun 2020 13:24:33 GMT
Title: $\mathcal{PT}$-Symmetric Generalized Extended Momentum Operator
Authors: M. Izadparast and S. Habib Mazharimousavi
Abstract summary: We develop further the concept of generalized extended momentum operator (GEMO) In analogy with GEMO, the $mathcalPT$-symmetric GEMO satisfies the extended uncertainty principle (EUP) relation. We apply our formalism to a quasi-free quantum particle and the exact solutions for the energy spectrum are presented.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We develop further the concept of generalized extended momentum operator (GEMO), which has been introduced very recently in \citep{M.H2}, and propose the so called $\mathcal{PT}$-symmetric GEMO. In analogy with GEMO, the $\mathcal{PT}$-symmetric GEMO also satisfies the extended uncertainty principle (EUP) relation. Moreover, the corresponding Hamiltonian that is constructed upon the $\mathcal{PT}$-symmetric GEMO, with a real or $\mathcal{PT}$-symmetric potential, remains non-Hermitian but $\mathcal{PT}$-symmetric and consequently its energy and momentum eigenvalues are real. We apply our formalism to a quasi-free quantum particle and the exact solutions for the energy spectrum are presented.

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