Computation of Quantum Bound States on a Singly Punctured Two-Torus

作     者：CHAN Kar-Tim Hishamuddin Zainuddin Saeid Molladavoudi 

作者机构：Department of PhysicsFaculty of ScienceUniversiti Putra Malaysia43400 UPM SerdangSelangorMalaysia Laboratory of Computational Sciences and Mathematical PhysicsInstitute for Mathematical ResearchUniversiti Putra Malaysia43400 UPM SerdangSelangorMalaysia 

出 版 物：《Chinese Physics Letters》 (中国物理快报（英文版）)

年 卷 期：2013年第30卷第1期

页      面：17-20页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：torus states hyperbolic 

摘      要：We study a quantum mechanical system on a singly punctured two-torus with bound states described by the Maass waveforms which are eigenfunctions of the hyperbolic Laplace–Beltrami *** the discrete eigenvalues of the Maass cusp form are not known analytically,they are solved numerically using an adapted algorithm of Hejhal and Then to compute Maass cusp forms on the punctured *** report on the computational results of the lower lying eigenvalues for the punctured two-torus and find that they are *** also visualize the eigenstates of selected eigenvalues using GridMathematica.