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Maass Cusp Forms on Singly Punctured Two-Torus

Siddig, Abubaker Ahmed Mohamed and Shah, Nurisya Mohd and Zainuddin, Hishamuddin (2009) Maass Cusp Forms on Singly Punctured Two-Torus. FRONTIERS IN PHYSICS , 1150 . pp. 107-115. ISSN 0094-243X

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Abstract

Quantum mechanical systems on punctured surfaces modeled by hyperbolic spaces can play an interesting role in exploring quantum chaos and in studying behaviour of future quantum nano-devices. The case of singly-punctured two-torus, for example, has been well-studied in the literature particularly for its scattering states. However, the bound states on the punctured torus given by Maass cusp forms are lesser known. In this note, we report on the algorithm of numerically computing these functions and we present ten lower-lying eigenvalues for each odd and even Maass cusp forms.

Item Type:Article
Additional Information:3rd International Meeting on Fronties in Physics Kuala Lumpur, MALAYSIA, JAN 12-16, 2009 Minist Sci, Technol & Innovat Malaysia; Univ Malaya; UNESCO; Acad Sci Malaysia; Abdul Salam Int Ctr Theoret Phys; Asia-Pacific Ctr Theoret Phys; Assoc Asia-Pacific Phys Soc; K I S M; Toray Malaysia Grp
Uncontrolled Keywords:SCATTERING
Subjects:Physical Science > Nanophysics
ID Code:7867
Deposited By:CSMNT
Deposited On:28 Nov 2009 05:04
Last Modified:28 Nov 2009 05:04

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