English

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

Mathematical Physics 2015-08-04 v1 math.MP

Abstract

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

Keywords

Cite

@article{arxiv.1502.05309,
  title  = {Analytic representations with Theta functions for systems on Z(d) and on S},
  author = {P. Evangelides and C. Lei and A. Vourdas},
  journal= {arXiv preprint arXiv:1502.05309},
  year   = {2015}
}
R2 v1 2026-06-22T08:32:32.481Z