Dirac oscillator and minimal length
نویسندگان
چکیده
منابع مشابه
Dirac oscillator with nonzero minimal uncertainty in position
In the context of some deformed canonical commutation relations leading to isotropic nonzero minimal uncertainties in the position coordinates, a Dirac equation is exactly solved for the first time, namely that corresponding to the Dirac oscillator. Supersymmetric quantum mechanical and shape-invariance methods are used to derive both the energy spectrum and wavefunctions in the momentum repres...
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The D-dimensional (β, β ′)-two-parameter deformed algebra introduced by Kempf is generalized to a Lorentz-covariant algebra describing a D +1-dimensional quantized space-time. In the D = 3 and β = 0 case, the latter reproduces Snyder algebra. The deformed Poincaré transformations leaving the algebra invariant are identified. It is shown that there exists a nonzero minimal uncertainty in positio...
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R. de Lima Rodrigues Unidade Acadêmica de Educação Universidade Federal de Campina Grande, Cuité PB, CEP 58.175-000Brazil Centro Brasileiro de Pesquisas F́ısicas (CBPF) Rua Dr. Xavier Sigaud, 150, CEP 22290-180, Rio de Janeiro, RJ, Brazil Jambunatha Jayaraman (In memory) Departamento de F́ısica (CCEN), Universidade Federal da Paráıba, Campus I, João Pessoa-PB, CEP 58.059-970, Brazil Arvind Naraya...
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We present the first experimental microwave realization of the one-dimensional Dirac oscillator, a paradigm in exactly solvable relativistic systems. The experiment relies on a relation of the Dirac oscillator to a corresponding tight-binding system. This tight-binding system is implemented as a microwave system by a chain of coupled dielectric disks, where the coupling is evanescent and can be...
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The complete energy spectrum for the Dirac oscillator via R-deformed Heisenberg algebra is investigated. PACS numbers: 11.30.Pb, 03.65.Fd, 11.10.Ef. To appear in the proceedings at the XXIII Brazilian National Meeting on Particles and Fields, October 15 to 19, 2002, Águas de Lindóia-SP, Brazil, site www.sbf1.if.usp.br/eventos/enfpc/xxiii.
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2017
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.4984312