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Paths of zeros of analytic functions describing finite quantum systems.
Eissa, Hend A. Evangelides, Pavlos Lei, Ci
Eissa, Hend A.
Evangelides, Pavlos
Lei, Ci
Publication Date
2016-02-05
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© 2016 Elsevier. Reproduced in accordance with the publisher's self-archiving policy.
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openAccess
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2015-11-09
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Abstract
Quantum systems with positions and momenta in Z(d) are described by the d zeros of analytic functions on a torus. The d paths of these zeros on the torus describe the time evolution of the system. A semi-analytic method for the calculation of these paths of the zeros is discussed. Detailed analysis of the paths for periodic systems is presented. A periodic system which has the displacement operator to a real power t, as time evolution operator, is studied. Several numerical examples, which elucidate these ideas, are presented.
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Accepted manuscript
Citation
Eissa H, Evangelides P, Lei C and Vourdas A (2016) Paths of zeros of analytic functions describing finite quantum systems. Physics Letters A, 380 (4): 548–553.
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Article