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  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Spelling suggestions: "subject:"aariables inn ℤ(d) anda 𝕊"" "subject:"aariables inn ℤ(d) ando 𝕊""

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Analytic representations with theta functions for systems on ℤ(d) and on 𝕊.

Evangelides, Pavlos, Lei, Ci, Vourdas, Apostolos 13 July 2015 (has links)
Yes / An analytic representation with Theta functions on a torus, for systems with variables in ℤ(d), is considered. Another analytic representation with Theta functions on a strip, for systems with positions in a circle S and momenta in Z, is also considered. The reproducing kernel formalism for these two systems is studied. Wigner and Weyl functions in this language, are also studied.
Quantum mechanics
Analytic representation
Theta functions
Variables in ℤ(d) and 𝕊
Wigner functions
Weyl functions

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