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Symmetry, Integrability and Geometry: Methods and Applications, 2009, Volume 5, 083, 7 pp.
DOI: https://doi.org/10.3842/SIGMA.2009.083 (Mi sigma428) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty

T. K. Janaa, P. Royb

a Department of Mathematics, R.S. Mahavidyalaya, Ghatal 721212, India
b Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata-700108, India
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DOI: https://doi.org/10.3842/SIGMA.2009.083
Abstract: We study non-Hermitian quantum mechanics in the presence of a minimal length. In particular we obtain exact solutions of a non-Hermitian displaced harmonic oscillator and the Swanson model with minimal length uncertainty. The spectrum in both the cases are found to be real. It is also shown that the models are $\eta$ pseudo-Hermitian and the metric operator is found explicitly in both the cases.
Keywords: non-Hermitian; minimal length.
Received: June 30, 2009; in final form August 10, 2009; Published online August 12, 2009
Bibliographic databases:
Document Type: Article
MSC: 81Q05; 81S05
Language: English
Citation: T. K. Jana, P. Roy, “Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty”, SIGMA, 5 (2009), 083, 7 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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