Applications of the potential algebras of the two-dimensional Dirac-like operators

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F13%3A00392303" target="_blank" >RIV/61389005:_____/13:00392303 - isvavai.cz</a>
Result on the web
<a href="http://ac.els-cdn.com/S0003491613000080/1-s2.0-S0003491613000080-main.pdf?_tid=e9c316f0-bbe7-11e2-b8ca-00000aab0f6c&acdnat=1368461731_fb8fe2f5da71ade23877f1a9bcddd89f" target="_blank" >http://ac.els-cdn.com/S0003491613000080/1-s2.0-S0003491613000080-main.pdf?_tid=e9c316f0-bbe7-11e2-b8ca-00000aab0f6c&acdnat=1368461731_fb8fe2f5da71ade23877f1a9bcddd89f</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aop.2013.01.004" target="_blank" >10.1016/j.aop.2013.01.004</a>

Result language
angličtina
Original language name
Applications of the potential algebras of the two-dimensional Dirac-like operators
Original language description
Potential algebras can be used effectively in the analysis of the quantum systems. In the article, we focus on the systems described by a separable, 2 x 2 matrix Hamiltonian of the first order in derivatives. We find integrals of motion of the Hamiltonian that close, centrally extended so(3), so(2, 1) or oscillator algebra. The algebraic framework is used in construction of physically interesting solvable models described by the (2 + 1) dimensional Dirac equation. It is applied in description of open-cage fullerenes where the energies and wave functions of low-energy charge-carriers are computed. The potential algebras are also used in construction of shape-invariant, one-dimensional Dirac operators. We show that shape-invariance of the first-order operators is associated with the N = 4 nonlinear supersymmetry which is represented by both local and nonlocal supercharges. The relation to the shape-invariant non-relativistic systems is discussed as well.
Czech name
—
Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Project
<a href="/en/project/GPP203%2F11%2FP038" target="_blank" >GPP203/11/P038: Hidden nonlinear symmetries and supersymmetry in quantum systems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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