-symmetric momentum operator and bound states. (21st September 2020)

• Record Type: Journal Article
• Authors: Izadparast, M; Mazharimousavi, S Habib
• Is Part Of: Physica scripta. Volume 95:Number 10(2020)
• Publication Date: 2020-09-21
• Subjects: PT-symmetry -- Extended Uncertainty Principle -- Generalized Momentum -- Exact solution; Physics -- Periodicals; 530.05
• DOI: 10.1088/1402-4896/abb85c
• Languages: English
• ISSNs: 0031-8949

Abstract

Abstract: We develop further the concept of generalized extended momentum operator, which has been proposed very recently in (Izadparast and Mazharimousavi 2020 Phys. Scr. 95, 075220). In particular, we introduce a   -symmetric generalized momentum operator using a complex auxiliary function. The resulting Hamiltonian constructed based on the newly proposed momentum is not Hermitian, however, provided a proper potential it may be pseudo-Hermitian with corresponding real energy eigenvalues. An explicit example is presented to verify the application of the suggested non-Hermitian momentum.