Spacetime structures in simple quantum systems

Journal of Physics A: Mathematical and General

Volumn 30, Issue 9, 1997, Pages

  Großmann, Frank ^a   Rost, Jan Michael ^a   Schleich, Wolfgang P ^b  

^a UNIVERSITY OF FREIBURG   (Germany)

^b UNIVERSITY OF ULM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031557853     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/30/9/004     Document Type: Article

References (14)

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10. Note that the finite theta sum is closely related to the Jacobi theta functions discussed in: Whittaker E T and Watson G N 1980 A Course of Modern Analysis (Cambridge: Cambridge University Press) ch XXI Hence, we can carry over the methods used there to demonstrate the quasiperiodicity of the theta functions to derive similar relations for θ. For a recent review of asymptotic properties of Jacobi theta functions, see also: Marklof J Proc. IMA Workshop Emerging Applications of Number Theory: Quantum Mechanics (Institute for Mathematics and its Applications, Minneapolis, July 1996) submitted
11. Note that the finite theta sum is closely related to the Jacobi theta functions discussed in: Whittaker E T and Watson G N 1980 A Course of Modern Analysis (Cambridge: Cambridge University Press) ch XXI Hence, we can carry over the methods used there to demonstrate the quasiperiodicity of the theta functions to derive similar relations for θ. For a recent review of asymptotic properties of Jacobi theta functions, see also: Marklof J Proc. IMA Workshop Emerging Applications of Number Theory: Quantum Mechanics (Institute for Mathematics and its Applications, Minneapolis, July 1996) submitted
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14. Stifter P, Kaplan A and Schleich W P Preprint