Paths of zeros of analytic functions describing finite quantum systems.
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2016-02-05Rights
© 2016 Elsevier. Reproduced in accordance with the publisher's self-archiving policy.Peer-Reviewed
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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.Version
Accepted manuscriptCitation
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.Link to Version of Record
https://doi.org/10.1016/j.physleta.2015.11.032Type
Articleae974a485f413a2113503eed53cd6c53
https://doi.org/10.1016/j.physleta.2015.11.032